Professor Gary Froyland
Professor

Professor Gary Froyland

BSc (Hons 1, Medal) Qld (Pure and Applied Mathematics);  PhD W.Aust. (Mathematics)

Science
School of Mathematics & Statistics

Professor Gary Froyland works in two main research areas:  Dynamical Systems and Optimisation.  Dynamical Systems studies processes that change over time and optimisation concerns the mathematics of decision-making.  My research ranges from pure mathematics through to computation and application to industry and other scientific disciplines.

My dynamical systems research focusses on the interplay of probability and geometry in nonlinear and chaotic dynamical systems, and uses techniques from ergodic theory, functional analysis, and differential geometry. In addition to fundamental mathematical research in dynamical systems, I have applied my research methods to analyse models of the ocean and atmosphere, and granular flow. My optimisation research is focused on decision making in large and complicated systems, sometimes in the presence of uncertain information. My research concerns new modelling approaches in mathematical programming, integer programming, and stochastic programming. These new approaches have been applied to strategic planning of open pit mines, scheduling of maritime crane fleets, and robust scheduling of aircraft and flight crews under uncertain disruption. Current work includes optimising lung cancer radiotherapy treatment.

Phone
9385 7050
Location
School of Mathematics and Statistics University of New South Wales Sydney NSW 2052 The Red Centre Room 3060
  • Books | 2020
    Junge O; Schütze O; Froyland G; Ober-Blöbaum S; Padberg-Gehle K, 2020, Preface
  • Book Chapters | 2020
    Klünker A; Schneide C; Froyland G; Schumacher J; Padberg-Gehle K, 2020, 'Set-oriented and finite-element study of coherent behavior in Rayleigh-Bénard convection', in Studies in Systems, Decision and Control, pp. 86 - 108, http://dx.doi.org/10.1007/978-3-030-51264-4_4
    Book Chapters | 2018
    Froyland G; Menabde M; Stone P; Hodson D, 2018, 'The value of additional drilling to open pit mining projects', in Advances in Applied Strategic Mine Planning, pp. 119 - 138, http://dx.doi.org/10.1007/978-3-319-69320-0_10
    Book Chapters | 2018
    Menabde M; Froyland G; Stone P; Yeates GA, 2018, 'Mining schedule optimisation for conditionally simulated orebodies', in Advances in Applied Strategic Mine Planning, pp. 91 - 100, http://dx.doi.org/10.1007/978-3-319-69320-0_8
    Book Chapters | 2018
    Stone P; Froyland G; Menabde M; Law B; Pasyar R; Monkhouse PHL, 2018, 'Blasor-Blended iron ore mine planning optimisation at Yandi, Western Australia', in Advances in Applied Strategic Mine Planning, pp. 39 - 46, http://dx.doi.org/10.1007/978-3-319-69320-0_4
    Book Chapters | 2014
    Froyland G; Padberg-Gehle K, 2014, 'Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion', in Bahsoun W; Bose C; Froyland G (ed.), Ergodic Theory, Open Dynamics, and Coherent Structures, Springer, New York, pp. 171 - 216, http://dx.doi.org/10.1007/978-1-4939-0419-8_9
    Book Chapters | 2014
    Froyland G; Padberg-Gehle K, 2014, 'Chapter 9 Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion', in Bahsoun W; Bose C; Froyland G (ed.), ERGODIC THEORY, OPEN DYNAMICS, AND COHERENT STRUCTURES, edn. Springer Proceedings in Mathematics & Statistics, SPRINGER, Banff, CANADA, pp. 171 - 216, http://dx.doi.org/10.1007/978-1-4939-0419-8__9
    Book Chapters | 2001
    Dellnitz M; Froyland G; Junge O, 2001, 'The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems', in Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, Springer, pp. 145 - 174
    Book Chapters | 2001
    Froyland G, 2001, 'Extracting dynamical behavior via Markov models', in Mees AI (ed.), Nonlinear Dynamics and Statistics, Springer Science & Business Media, UNIV CAMBRIDGE, ISSAC NEWTON INST, CAMBRIDGE, ENGLAND, pp. 281 - 316, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000167889200012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a
  • Edited Books | 2014
    Bahsoun W; Bose C; Froyland G, (eds.), 2014, Preface for Ergodic Theory, Open Dynamics, and Coherent Structures, http://dx.doi.org/10.1007/978-1-4939-0419-8
  • Journal articles | 2022
    Abernathey R; Bladwell C; Froyland G; Sakellariou K, 2022, 'Deep Lagrangian Connectivity in the Global Ocean Inferred from Argo Floats', Journal of Physical Oceanography, vol. 52, pp. 951 - 963, http://dx.doi.org/10.1175/jpo-d-21-0156.1
    Journal articles | 2022
    Denes MC; Froyland G; Keating SR, 2022, 'Persistence and material coherence of a mesoscale ocean eddy', Physical Review Fluids, vol. 7, http://dx.doi.org/10.1103/PhysRevFluids.7.034501
    Journal articles | 2021
    Abernathey R; Bladwell C; Froyland G; Sakellariou K, 2021, 'Deep Lagrangian connectivity in the global ocean inferred from Argo floats', , http://dx.doi.org/10.1175/JPO-D-21-0156.1
    Journal articles | 2021
    Antown F; Froyland G; Galatolo S, 2021, 'Optimal linear response for Markov Hilbert-Schmidt integral operators and stochastic dynamical systems', , http://arxiv.org/abs/2101.09411v2
    Journal articles | 2021
    Antown F; Froyland G; Junge O, 2021, 'Linear response for the dynamic Laplacian and finite-time coherent sets', Nonlinearity, vol. 34, pp. 3337 - 3355, http://dx.doi.org/10.1088/1361-6544/abe834
    Journal articles | 2021
    Atnip J; Froyland G; González-Tokman C; Vaienti S, 2021, 'Thermodynamic Formalism for Random Weighted Covering Systems', Communications in Mathematical Physics, vol. 386, pp. 819 - 902, http://dx.doi.org/10.1007/s00220-021-04156-1
    Journal articles | 2021
    Froyland G; Giannakis D; Lintner BR; Pike M; Slawinska J, 2021, 'Spectral analysis of climate dynamics with operator-theoretic approaches', Nature Communications, vol. 12, pp. 6570, http://dx.doi.org/10.1038/s41467-021-26357-x
    Journal articles | 2021
    Froyland G; Koltai P, 2021, 'Detecting the birth and death of finite-time coherent sets', , http://arxiv.org/abs/2103.16286v2
    Journal articles | 2020
    Beyn W-J; Froyland G; Hüls T, 2020, 'Angular values of nonautonomous and random linear dynamical systems', , http://arxiv.org/abs/2012.11305v2
    Journal articles | 2020
    Crimmins H; Froyland G, 2020, 'Fourier approximation of the statistical properties of Anosov maps on tori', Nonlinearity, vol. 33, pp. 6244 - 6296, http://dx.doi.org/10.1088/1361-6544/ab987e
    Journal articles | 2020
    Dragičević D; Froyland G; González-Tokman C; Vaienti S, 2020, 'A spectral approach for quenched limit theorems for random hyperbolic dynamical systems', Transactions of the American Mathematical Society, vol. 373, pp. 629 - 664, http://dx.doi.org/10.1090/tran/7943
    Journal articles | 2020
    Dunbar M; O'Brien R; Froyland G, 2020, 'Optimising lung imaging for cancer radiation therapy', EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, vol. 282, pp. 1038 - 1052, http://dx.doi.org/10.1016/j.ejor.2019.10.020
    Journal articles | 2020
    Froyland G; Koltai P; Stahn M, 2020, 'Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration', SIAM Journal on Applied Dynamical Systems, vol. 19, pp. 1659 - 1700, http://dx.doi.org/10.1137/19M1261791
    Journal articles | 2020
    Froyland G; Kwok E, 2020, 'A Dynamic Laplacian for Identifying Lagrangian Coherent Structures on Weighted Riemannian Manifolds', Journal of Nonlinear Science, vol. 30, pp. 1889 - 1971, http://dx.doi.org/10.1007/s00332-017-9397-y
    Journal articles | 2020
    Schilling N; Froyland G; Junge O, 2020, 'Higher-order finite element approximation of the dynamic Laplacian', ESAIM: Mathematical Modelling and Numerical Analysis, vol. 54, pp. 1777 - 1795, http://dx.doi.org/10.1051/m2an/2020027
    Journal articles | 2019
    Crimmins H; Froyland G, 2019, 'Stability and Approximation of Statistical Limit Laws for Multidimensional Piecewise Expanding Maps', Annales Henri Poincare, vol. 20, pp. 3113 - 3161, http://dx.doi.org/10.1007/s00023-019-00822-2
    Journal articles | 2019
    Froyland G; González-Tokman C; Murray RUA, 2019, 'Quenched stochastic stability for eventually expanding-on-average random interval map cocycles', Ergodic Theory and Dynamical Systems, vol. 39, pp. 2769 - 2792, http://dx.doi.org/10.1017/etds.2017.143
    Journal articles | 2019
    Froyland G; González-Tokman C; Quas A, 2019, 'Hilbert space lyapunov exponent stability', Transactions of the American Mathematical Society, vol. 372, pp. 2357 - 2388, http://dx.doi.org/10.1090/tran/7521
    Journal articles | 2019
    Froyland G; Rock CP; Sakellariou K, 2019, 'Sparse eigenbasis approximation: Multiple feature extraction across spatiotemporal scales with application to coherent set identification', Communications in Nonlinear Science and Numerical Simulation, vol. 77, pp. 81 - 107, http://dx.doi.org/10.1016/j.cnsns.2019.04.012
    Journal articles | 2019
    Miron P; Beron-Vera FJ; Olascoaga MJ; Froyland G; Pérez-Brunius P; Sheinbaum J, 2019, 'Lagrangian geography of the deep gulf of mexico', Journal of Physical Oceanography, vol. 49, pp. 269 - 290, http://dx.doi.org/10.1175/JPO-D-18-0073.1
    Journal articles | 2018
    Antown F; Dragičević D; Froyland G, 2018, 'Optimal Linear Responses for Markov Chains and Stochastically Perturbed Dynamical Systems', Journal of Statistical Physics, vol. 170, pp. 1051 - 1087, http://dx.doi.org/10.1007/s10955-018-1985-1
    Journal articles | 2018
    Dragičević D; Froyland G; González-Tokman C; Vaienti S, 2018, 'A Spectral Approach for Quenched Limit Theorems for Random Expanding Dynamical Systems', Communications in Mathematical Physics, vol. 360, pp. 1121 - 1187, http://dx.doi.org/10.1007/s00220-017-3083-7
    Journal articles | 2018
    Dragičević D; Froyland G; González-Tokman C; Vaienti S, 2018, 'Almost sure invariance principle for random piecewise expanding maps', Nonlinearity, vol. 31, pp. 2252 - 2280, http://dx.doi.org/10.1088/1361-6544/aaaf4b
    Journal articles | 2018
    Dragičevíc D; Froyland G, 2018, 'Hölder continuity of Oseledets splittings for semi-invertible operator cocycles', Ergodic Theory and Dynamical Systems, vol. 38, pp. 961 - 981, http://dx.doi.org/10.1017/etds.2016.55
    Journal articles | 2018
    Froyland G; Junge O, 2018, 'Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories', SIAM Journal on Applied Dynamical Systems, vol. 17, pp. 1891 - 1924, http://dx.doi.org/10.1137/17M1129738
    Journal articles | 2017
    Dragicevic D; Froyland G; Gonzalez-Tokman C; Vaienti S, 2017, 'A spectral approach for quenched limit theorems for random expanding dynamical systems', , http://dx.doi.org/10.1007/s00220-017-3083-7
    Journal articles | 2017
    Froyland G; Koltai P, 2017, 'Estimating long-term behavior of periodically driven flows without trajectory integration', Nonlinearity, vol. 30, pp. 1948 - 1986, http://dx.doi.org/10.1088/1361-6544/aa6693
    Journal articles | 2017
    Froyland G; Santitissadeekorn N, 2017, 'Optimal mixing enhancement', SIAM Journal on Applied Mathematics, vol. 77, pp. 1444 - 1470, http://dx.doi.org/10.1137/16M1091496
    Journal articles | 2017
    Hadjighasem A; Farazmand M; Blazevski D; Froyland G; Haller G, 2017, 'A critical comparison of Lagrangian methods for coherent structure detection', Chaos, vol. 27, http://dx.doi.org/10.1063/1.4982720
    Journal articles | 2017
    Miron P; Beron-Vera FJ; Olascoaga MJ; Sheinbaum J; Pérez-Brunius P; Froyland G, 2017, 'Lagrangian dynamical geography of the Gulf of Mexico', Scientific Reports, vol. 7, http://dx.doi.org/10.1038/s41598-017-07177-w
    Journal articles | 2016
    Boland N; Dumitrescu I; Froyland G; Kalinowski T, 2016, 'Minimum cardinality non-anticipativity constraint sets for multistage stochastic programming', Mathematical Programming, vol. 157, pp. 69 - 93, http://dx.doi.org/10.1007/s10107-015-0970-6
    Journal articles | 2016
    Froyland G; González-Tokman C, 2016, 'Stability and approximation of invariant measures of Markov chains in random environments', Stochastics and Dynamics, vol. 16, http://dx.doi.org/10.1142/S0219493716500039
    Journal articles | 2016
    Froyland G; González-Tokman C; Watson TM, 2016, 'Optimal mixing enhancement by local perturbation', SIAM Review, vol. 58, pp. 494 - 513, http://dx.doi.org/10.1137/15M1023221
    Journal articles | 2016
    Froyland G; Gottwald GA; Hammerlindl A, 2016, 'A trajectory-free framework for analysing multiscale systems', Physica D: Nonlinear Phenomena, vol. 328-329, pp. 34 - 43, http://dx.doi.org/10.1016/j.physd.2016.04.010
    Journal articles | 2016
    Froyland G; Stuart RM, 2016, 'Cheeger inequalities for absorbing markov chains', Advances in Applied Probability, vol. 48, pp. 631 - 647, http://dx.doi.org/10.1017/apr.2016.20
    Journal articles | 2015
    Froyland G, 2015, 'Dynamic isoperimetry and the geometry of Lagrangian coherent structures', Nonlinearity, vol. 28, pp. 3587 - 3622, http://dx.doi.org/10.1088/0951-7715/28/10/3587
    Journal articles | 2015
    Froyland G; González-Tokman C; Quas A, 2015, 'Stochastic Stability of Lyapunov Exponents and Oseledets Splittings for Semi-invertible Matrix Cocycles', Communications on Pure and Applied Mathematics, vol. 68, pp. 2052 - 2081, http://dx.doi.org/10.1002/cpa.21569
    Journal articles | 2015
    Froyland G; Horenkamp C; Rossi V; van Sebille E, 2015, 'Studying an Agulhas ring's long-term pathway and decay with finite-time coherent sets', Chaos, vol. 25, pp. 083119, http://dx.doi.org/10.1063/1.4927830
    Journal articles | 2015
    Froyland G; Junge O, 2015, 'On fast computation of finite-time coherent sets using radial basis functions', Chaos, vol. 25, http://dx.doi.org/10.1063/1.4927640
    Journal articles | 2015
    Froyland G; Junge O; Padberg-Gehle K, 2015, 'Preface: Special issue on the occasion of the 4th international workshop on set-oriented numerics (Son 13, Dresden, 2013)', Journal of Computational Dynamics, vol. 2, pp. i - ii, http://dx.doi.org/10.3934/jcd.2015.2.1i
    Journal articles | 2015
    Froyland G; Kwok E, 2015, 'Partitions of networks that are robust to vertex permutation dynamics', Special Matrices, vol. 3, pp. 22 - 42, http://dx.doi.org/10.1515/spma-2015-0003
    Journal articles | 2015
    Froyland G; Padberg-Gehle K, 2015, 'A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data', Chaos, vol. 25, http://dx.doi.org/10.1063/1.4926372
    Journal articles | 2015
    Peacock T; Froyland G; Haller G, 2015, 'Introduction to focus issue: Objective detection of coherent structures', Chaos, vol. 25, http://dx.doi.org/10.1063/1.4928894
    Journal articles | 2015
    Walker DM; Tordesillas A; Brodu N; Dijksman JA; Behringer RP; Froyland G, 2015, 'Self-assembly in a near-frictionless granular material: conformational structures and transitions in uniaxial cyclic compression of hydrogel spheres', Soft Matter, vol. 11, pp. 2157 - 2173, http://dx.doi.org/10.1039/c4sm02384f
    Journal articles | 2014
    Balasuriya S; Froyland G; Santitissadeekorn N, 2014, 'Absolute flux optimising curves of flows on a surface', Journal of Mathematical Analysis and Applications, vol. 409, pp. 119 - 139, http://dx.doi.org/10.1016/j.jmaa.2013.06.013
    Journal articles | 2014
    Bose C; Froyland G; González-Tokman C; Murray R, 2014, 'Ulam's method for Lasota-Yorke maps with holes', SIAM Journal on Applied Dynamical Systems, vol. 13, pp. 1010 - 1032, http://dx.doi.org/10.1137/130917533
    Journal articles | 2014
    Dunbar M; Froyland G; Wu CL, 2014, 'An integrated scenario-based approach for robust aircraft routing, crew pairing and re-timing', Computers and Operations Research, vol. 45, pp. 68 - 86, http://dx.doi.org/10.1016/j.cor.2013.12.003
    Journal articles | 2014
    Froyland G; Gonzalez-Tokman C; Quas A, 2014, 'Stability and approximation of random invariant densities for Lasota-Yorke map cocycles', Nonlinearity, vol. 27, pp. 647 - 660, http://dx.doi.org/10.1088/0951-7715/27/4/647
    Journal articles | 2014
    Froyland G; González-Tokman C; Quas A, 2014, 'Detecting isolated spectrum of transfer and Koopman operators with Fourier analytic tools', Journal of Computational Dynamics, vol. 1, pp. 249 - 278, http://dx.doi.org/10.3934/jcd.2014.1.249
    Journal articles | 2014
    Froyland G; Gottwald GA; Hammerlindl A, 2014, 'A computational method to extract macroscopic variables and their dynamics in multiscale systems', SIAM Journal on Applied Dynamical Systems, vol. 13, pp. 1816 - 1846, http://dx.doi.org/10.1137/130943637
    Journal articles | 2014
    Froyland G; Maher SJ; Wu CL, 2014, 'The recoverable robust tail assignment problem', Transportation Science, vol. 48, pp. 351 - 372, http://dx.doi.org/10.1287/trsc.2013.0463
    Journal articles | 2014
    Froyland G; Pollett PK; Stuart RM, 2014, 'A closing scheme for finding almost-invariant sets in open dynamical systems', Journal of Computational Dynamics, vol. 1, pp. 135 - 162, http://dx.doi.org/10.3934/jcd.2014.1.135
    Journal articles | 2014
    Froyland, G. ; Stuart, R. ; Van Sebille, E. , 2014, 'How well-connected is the surface of the global ocean?', Chaos, vol. 24, pp. 033126-1 - 033126-10, http://dx.doi.org/10.1063/1.4892530
    Journal articles | 2014
    Walker DM; Tordesillas A; Froyland G, 2014, 'Mesoscale and macroscale kinetic energy fluxes from granular fabric evolution', Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 89, http://dx.doi.org/10.1103/PhysRevE.89.032205
    Journal articles | 2013
    Froyland G, 2013, 'An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems', Physica D - Nonlinear Phenomena, vol. 250, pp. 1 - 19, http://dx.doi.org/10.1016/j.physd.2013.01.013
    Journal articles | 2013
    Froyland G; Huls T; Morriss GP; Watson TM, 2013, 'Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study', Physica D - Nonlinear Phenomena, vol. 247, pp. 18 - 39, http://dx.doi.org/10.1016/j.physd.2012.12.005
    Journal articles | 2013
    Froyland G; Junge O; Koltai P, 2013, 'Estimating long-term behavior of flows without trajectory integration: The infinitesimal generator approach', SIAM Journal on Numerical Analysis, vol. 51, pp. 223 - 247, http://dx.doi.org/10.1137/110819986
    Journal articles | 2013
    Froyland G; Lloyd S; Quas A, 2013, 'A semi-invertible oseledets theorem with applications to transfer operator cocycles', Discrete and Continuous Dynamical Systems, vol. 33, pp. 3835 - 3860, http://dx.doi.org/10.3934/dcds.2013.33.3835
    Journal articles | 2013
    Froyland G; Stancevic O, 2013, 'Metastability, Lyapunov exponents, escape rates, and topological entropy in random dynamical systems', Stochastics and Dynamics, vol. 13, pp. 1350004(26pp), http://dx.doi.org/10.1142/S0219493713500044
    Journal articles | 2013
    Walker D; Tordesillas A; Froyland G, 2013, 'Examining evolving structural networks using minimal cycle similarity networks: applications to stick-slip granular dynamics', Nonlinear Theory and Its Applications, IEICE, vol. 4, pp. 148 - 159, http://dx.doi.org/10.1587/nolta.4.148
    Journal articles | 2012
    Boland N; Bley A; Fricke C; Froyland G; Sotirov R, 2012, 'Clique-based facets for the precedence constrained knapsack problem', Mathematical Programming, vol. 133, pp. 481 - 511, http://dx.doi.org/10.1007/s10107-010-0438-7
    Journal articles | 2012
    Dunbar M; Froyland G; Wu C, 2012, 'Robust airline schedule planning: Minimizing propagated delay in an integrated routing and crewing framework', Transportation Science, vol. 46, pp. 204 - 216, http://dx.doi.org/10.1287/trsc.1110.0395
    Journal articles | 2012
    Froyland G; Horenkamp C; Rossi V; Santitissadeekorn N; Sen Gupta AR, 2012, 'Three-dimensional characterization and tracking of an Agulhas Ring', Ocean Modelling, vol. 52-53, pp. 69 - 75, http://dx.doi.org/10.1016/j.ocemod.2012.05.001
    Journal articles | 2012
    Froyland G; Padberg-Gehle K, 2012, 'Finite-time entropy: A probabilistic approach for measuring nonlinear stretching', Physica D - Nonlinear Phenomena, vol. 241, pp. 1612 - 1628, http://dx.doi.org/10.1016/j.physd.2012.06.010
    Journal articles | 2012
    Tordesillas A; Walker DM; Froyland G; Zhang J; Behringer RP, 2012, 'Transition dynamics and magic-number-like behavior of frictional granular cluster', Physical Review E, vol. 83, pp. 011306 (11pp), http://dx.doi.org/10.1103/PhysRevE.86.011306
    Journal articles | 2012
    Van Sebille E; England MH; Froyland G, 2012, 'Origin, dynamics and evolution of ocean garbage patches from observed surface drifters', Environmental Research Letters, vol. 7, pp. Article number044040, http://dx.doi.org/10.1088/1748-9326/7/4/044040
    Journal articles | 2011
    Froyland G; Murray R; Stancevic O, 2011, 'Spectral degeneracy and escape dynamics for intermittent maps with a hole', Nonlinearity, vol. 24, pp. 2435 - 2463, http://dx.doi.org/10.1088/0951-7715/24/9/003
    Journal articles | 2010
    Bley A; Boland N; Fricke C; Froyland G, 2010, 'A strengthened formulation and cutting planes for the open pit mine production scheduling problem', Computers and Operations Research, vol. 37, pp. 1641 - 1647, http://dx.doi.org/10.1016/j.cor.2009.12.008
    Journal articles | 2010
    Froyland G; Lloyd S; Quas A, 2010, 'Coherent structures and isolated spectrum for Perron-Froebenius cocycles', Ergodic Theory and Dynamical Systems, vol. 30, pp. 729 - 756, http://dx.doi.org/10.1017/s0143385709000339
    Journal articles | 2010
    Froyland G; Lloyd S; Santitissadeekorn N, 2010, 'Coherent sets for nonautonomous dynamical systems', Physica D - Nonlinear Phenomena, vol. 239, pp. 1527 - 1541, http://dx.doi.org/10.1016/j.physd.2010.03.009
    Journal articles | 2010
    Froyland G; Santitissadeekorn N; Monahan A, 2010, 'Optimally coherent sets in geophysical flows: A new approach to delimiting the stratospheric polar vortex', Physical Review E, vol. 82, http://dx.doi.org/10.1103/PhysRevE.82.056311
    Journal articles | 2010
    Froyland G; Santitissadeekorn N; Monahan A, 2010, 'Transport in time-dependent dynamical systems: Finite-time coherent sets', Chaos, vol. 20, http://dx.doi.org/10.1063/1.3502450
    Journal articles | 2010
    Froyland G; Stancevic O, 2010, 'Escape rates and Perron-Frobenius operators: Open and closed dynamical systems', Discrete and Continuous Dynamical Systems - Series B, vol. 14, pp. 457 - 472, http://dx.doi.org/10.3934/dcdsb.2010.14.457
    Journal articles | 2009
    Boland N; Dumitrescu I; Froyland G; Gleixner AM, 2009, 'LP-based disaggregation approaches to solving the open pit mining production scheduling problem with block processing selectivity', Computers and Operations Research, vol. 36, pp. 1064 - 1089, http://dx.doi.org/10.1016/j.cor.2007.12.006
    Journal articles | 2009
    Dellnitz M; Froyland G; Horenkamp ; Padberg K, 2009, 'On the approximation of transport phenomena - a dynamical systems approach', Gamm-Mitteilungen, vol. 32, pp. 47 - 60, http://dx.doi.org/10.1002/gamm.200910004
    Journal articles | 2009
    Dellnitz M; Froyland G; Horenkamp C; Padberg-Gehle K; Sen Gupta AR, 2009, 'Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators', Nonlinear Processes in Geophysics, vol. 16, pp. 655 - 663
    Journal articles | 2009
    Froyland G; Padberg K, 2009, 'Almost-invariant sets and invariant manifolds - Connecting probabilistic and geometric descriptions of coherent structures in flows', Physica D - Nonlinear Phenomena, vol. 238, pp. 1507 - 1523, http://dx.doi.org/10.1016/j.physd.2009.03.002
    Journal articles | 2009
    Weatherburn D; Froyland G; Moffat S; Corben S, 2009, 'Prison populations and correctional outlays: The effect of reducing re-imprisonment', Crime and Justice Bulletin, pp. 1 - 10, http://www.bocsar.nsw.gov.au/lawlink/bocsar/ll_bocsar.nsf/vwFiles/CJB138.pdf/$file/CJB138.pdf
    Journal articles | 2009
    Weatherburn D; Froyland G; Moffatt S; Corben S, 2009, 'Prison populations and correctional outlays: The effect of reducing re-imprisonment', Crime and Justice Bulletin, vol. 138, pp. 10pages
    Journal articles | 2008
    Froyland G, 2008, 'Unwrapping eigenfunctions to discover the geometry of almost-invariant sets in hyperbolic maps', Physica D - Nonlinear Phenomena, vol. 237, pp. 840 - 853, http://dx.doi.org/10.1016/j.physd.2007.11.004
    Journal articles | 2008
    Froyland G; Koch T; Megow N; Duane E; Wren H, 2008, 'Optimizing the landside operations of a container terminal', OR Spectrum, vol. 30, pp. 53 - 75, http://dx.doi.org/10.1007/s00291-007-0082-7
    Journal articles | 2008
    Terhesiu DE; Froyland G, 2008, 'Rigorous numerical approximation of Ruelle-Perron-Frobenius operators and topological pressure of expanding maps', Nonlinearity, vol. 21, pp. 1953 - 1966, http://dx.doi.org/10.1088/0951-7715/21/9/001
    Journal articles | 2007
    Froyland G, 2007, 'On Ulam approximation of the isolated spectrum and eignfunctions of hyperbolic maps', Discrete and Continuous Dynamical Systems, vol. 17, pp. 203 - 221
    Journal articles | 2007
    Froyland G, 2007, 'On ulam approximation of the isolated spectrum and eigenfunctions of hyperbolic maps', Discrete and Continuous Dynamical Systems, vol. 17, pp. 671 - 689, http://dx.doi.org/10.3934/dcds.2007.17.671
    Journal articles | 2007
    Froyland G; Murray R; Terhesiu DE, 2007, 'Efficient computation of topological entropy, pressure, conformal measures, and equilibrium states in one dimension', Physical Review E, vol. 76, pp. 036702, http://dx.doi.org/10.1103/PhysRevE.76.036702
    Journal articles | 2007
    Froyland G; Padberg K; England MH; Treguier A, 2007, 'Detection of coherent oceanic structures via transfer operators', Physical Review Letters, vol. 98, pp. 2224503, http://dx.doi.org/10.1103/PhysRevLett.98.224503
    Journal articles | 2007
    Menabde M; Froyland G; Stone P; Yeates GA, 2007, 'Mining schedule optimisation for conditionally simulated orebodies', Australasian Institute of Mining and Metallurgy Publication Series, pp. 379 - 383
    Journal articles | 2007
    Stone P; Froyland G; Menabde M; Law B; Pasyar R; Monkhouse PHL, 2007, 'Blasor - blended iron ore mine planning optimisation at Yandi, Western Australia', Australasian Institute of Mining and Metallurgy Publication Series, pp. 133 - 136
    Journal articles | 2005
    Froyland G, 2005, 'Statistically optimal almost-invariant sets', Physica D - Nonlinear Phenomena, vol. 200, pp. 205 - 219, http://dx.doi.org/10.1016/j.physd.2004.11.008
    Journal articles | 2003
    Froyland G; Dellnitz M, 2003, 'Detecting and locating near-optimal almost-invariant sets and cycles', SIAM Journal of Scientific Computing, vol. 24, pp. 1839 - 1863, http://dx.doi.org/10.1137/S106482750238911X
    Journal articles | 2003
    Walker DM; Froyland G; Judd K; Mees AI, 2003, 'Controllers for nonlinear systems using normal forms', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 13, pp. 459 - 465, http://dx.doi.org/10.1142/S0218127403006637
    Journal articles | 2001
    Froyland G; Aihara K, 2001, 'Estimating statistics of neuronal dynamics via Markov chains', Biological Cybernetics, vol. 84, pp. 31 - 40, http://dx.doi.org/10.1007/PL00007979
    Journal articles | 2001
    Froyland G; Junge O; Ochs G, 2001, 'Rigorous computation of topological entropy with respect to a finite partition', Physica D: Nonlinear Phenomena, vol. 154, pp. 68 - 84, http://dx.doi.org/10.1016/S0167-2789(01)00216-0
    Journal articles | 2000
    Dellnitz M; Froyland G; Sertl S, 2000, 'On the isolated spectrum of the Perron-Frobenius operator', Nonlinearity, vol. 13, pp. 1171 - 1188, http://dx.doi.org/10.1088/0951-7715/13/4/310
    Journal articles | 2000
    Froyland G; Aihara K, 2000, 'Rigorous numerical estimation of Lyapunov exponents and invariant measures of iterated function systems and random matrix products', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 10, pp. 103 - 122, http://dx.doi.org/10.1142/S0218127400000062
    Journal articles | 1999
    Froyland G, 1999, 'Ulam's method for random interval maps', Nonlinearity, vol. 12, pp. 1029 - 1052, http://dx.doi.org/10.1088/0951-7715/12/4/318
    Journal articles | 1999
    Froyland G, 1999, 'Using Ulam's method to calculate entropy and other dynamical invariants', Nonlinearity, vol. 12, pp. 79 - 101, http://dx.doi.org/10.1088/0951-7715/12/1/006
    Journal articles | 1998
    Cao L; Mees A; Judd K; Froyland G, 1998, 'Determining the minimum embedding dimensions of input-output time series data', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 8, pp. 1491 - 1504, http://dx.doi.org/10.1142/S0218127498001145
    Journal articles | 1998
    Froyland G, 1998, 'Approximating physical invariant measures of mixing dynamical systems in higher dimensions', Nonlinear Analysis, Theory, Methods and Applications, vol. 32, pp. 831 - 860, http://dx.doi.org/10.1016/S0362-546X(97)00527-0
    Journal articles | 1997
    Froyland G, 1997, 'Computer-assisted bounds for the rate of decay of correlations', Communications in Mathematical Physics, vol. 189, pp. 237 - 257, http://dx.doi.org/10.1007/s002200050198
    Journal articles | 1997
    Froyland G, 1997, 'Estimating physical invariant measures and space averages of dynamical systems indicators', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, vol. 56, pp. 157 - 159, http://dx.doi.org/10.1017/S0004972700030823
    Journal articles | 1997
    Froyland G, 1997, 'Estimating physical invariant measures and space averages of dynamical systems indicators', Bulletin of the Australian Mathematical Society, vol. 56, pp. 157 - 159, http://dx.doi.org/10.1017/s0004972700030823
    Journal articles | 1995
    FROYLAND G; JUDD K; MEES AI; WATSON D; MURAO K, 1995, 'CONSTRUCTING INVARIANT-MEASURES FROM DATA', INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, vol. 5, pp. 1181 - 1192, http://dx.doi.org/10.1142/S0218127495000843
    Journal articles | 1995
    Froyland G, 1995, 'Finite approximation of Sinai-Bowen-Ruelle measures for Anosov systems in two dimensions', Random & Computational Dynamics, vol. 3, pp. 251 - 264
    Journal articles | 1995
    Froyland G; Judd K; Mees AI, 1995, 'Estimation of Lyapunov exponents of dynamical systems using a spatial average', Physical Review E, vol. 51, pp. 2844 - 2855, http://dx.doi.org/10.1103/PhysRevE.51.2844
  • Preprints | 2021
    Abernathey R; Bladwell C; Froyland G; Sakellariou K, 2021, Deep Lagrangian connectivity in the global ocean inferred from Argo floats
    Preprints | 2021
    Antown F; Froyland G; Galatolo S, 2021, Optimal linear response for Markov Hilbert-Schmidt integral operators and stochastic dynamical systems
    Preprints | 2021
    Atnip J; Froyland G; González-Tokman C; Vaienti S, 2021, Equilibrium states for non-transitive random open and closed dynamical systems
    Preprints | 2021
    Atnip J; Froyland G; González-Tokman C; Vaienti S, 2021, Thermodynamic Formalism for Random Interval Maps with Holes
    Preprints | 2021
    Denes MC; Froyland G; Keating SR, 2021, Persistence and material coherence of a mesoscale ocean eddy
    Preprints | 2021
    Froyland G; Giannakis D; Lintner B; Pike M; Slawinska J, 2021, Spectral analysis of climate dynamics with operator-theoretic approaches
    Preprints | 2021
    Froyland G; Koltai P, 2021, Detecting the birth and death of finite-time coherent sets
    Preprints | 2020
    Atnip J; Froyland G; González-Tokman C; Vaienti S, 2020, Thermodynamic Formalism for Random Weighted Covering Systems
    Preprints | 2020
    Beyn W-J; Froyland G; Hüls T, 2020, Angular values of nonautonomous and random linear dynamical systems
    Preprints | 2019
    Antown F; Froyland G; Junge O, 2019, Linear response for the dynamic Laplacian and finite-time coherent sets
    Preprints | 2019
    Crimmins H; Froyland G, 2019, Fourier approximation of the statistical properties of Anosov maps on tori
    Preprints | 2019
    Froyland G; Koltai P; Stahn M, 2019, Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration
    Preprints | 2019
    Schilling N; Froyland G; Junge O, 2019, Higher-Order Finite Element Approximation of the Dynamic Laplacian
    Preprints | 2018
    Antown F; Dragičević D; Froyland G, 2018, Optimal linear responses for Markov chains and stochastically perturbed dynamical systems
    Preprints | 2018
    Crimmins H; Froyland G, 2018, Stability and approximation of statistical limit laws for multidimensional piecewise expanding maps
    Preprints | 2018
    Dragičević D; Froyland G; González-Tokman C; Vaienti S, 2018, A spectral approach for quenched limit theorems for random hyperbolic dynamical systems
    Preprints | 2018
    Froyland G; Rock CP; Sakellariou K, 2018, Sparse eigenbasis approximation: multiple feature extraction across spatiotemporal scales with application to coherent set identification
    Preprints | 2018
    Miron P; Beron-Vera F; Olascoaga M; Froyland G; Perez-Brunius P; Sheinbaum J, 2018, Lagrangian geography of the deep Gulf of Mexico
    Conference Papers | 2018
    Monga B; Froyland G; Moehlis J, 2018, 'Synchronizing and Desynchronizing Neural Populations through Phase Distribution Control', in Proceedings of the American Control Conference, IEEE, Milwaukee, WI, USA, pp. 2808 - 2813, presented at 2018 Annual American Control Conference (ACC), Milwaukee, WI, USA, 27 June 2018 - 29 June 2018, http://dx.doi.org/10.23919/ACC.2018.8431114
    Preprints | 2017
    Dragicevic D; Froyland G; Gonzalez-Tokman C; Vaienti S, 2017, A spectral approach for quenched limit theorems for random expanding dynamical systems
    Preprints | 2017
    Froyland G; González-Tokman C; Quas A, 2017, Hilbert Space Lyapunov Exponent stability
    Preprints | 2017
    Froyland G; Junge O, 2017, Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories
    Conference Papers | 2017
    Froyland G; Pucilowski S; Tordesillas A, 2017, 'Self-organization in the localised failure regime: metastable attractors and their implications on force chain functionality', in EPJ Web of Conferences, Montpellier, presented at Powders & Grains 2017, Montpellier, 03 July 2017 - 07 July 2017, http://dx.doi.org/10.1051/epjconf/201714010007
    Preprints | 2017
    Hadjighasem A; Farazmand M; Blazevski D; Froyland G; Haller G, 2017, A Critical Comparison of Lagrangian Methods for Coherent Structure Detection
    Preprints | 2017
    Miron P; Beron-Vera FJ; Olascoaga MJ; Sheinbaum J; Perez-Brunius P; Froyland G, 2017, Lagrangian dynamical geography of the Gulf of Mexico
    Preprints | 2016
    Dragicevic D; Froyland G; González-Tokman C; Vaienti S, 2016, Almost sure invariance principle for random piecewise expanding maps
    Preprints | 2016
    Dragičević D; Froyland G, 2016, Hölder continuity of Oseledets splittings for semi-invertible operator cocycles
    Preprints | 2016
    Froyland G; Kwok E, 2016, A dynamic Laplacian for identifying Lagrangian coherent structures on weighted Riemannian manifolds
    Preprints | 2016
    Froyland G; Santitissadeekorn N, 2016, Optimal mixing enhancement
    Preprints | 2015
    Froyland G; Junge O, 2015, On fast computation of finite-time coherent sets using radial basis functions
    Preprints | 2015
    Froyland G; Koltai P, 2015, Estimating long-term behavior of periodically driven flows without trajectory integration
    Preprints | 2015
    Froyland G; Padberg-Gehle K, 2015, A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data
    Preprints | 2014
    Froyland G; Gottwald GA; Hammerlindl A, 2014, A trajectory-free framework for analysing multiscale systems
    Preprints | 2013
    Froyland G; González-Tokman C; Quas A, 2013, Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles
    Preprints | 2013
    Froyland G; Gottwald GA; Hammerlindl A, 2013, A computational method to extract macroscopic variables and their dynamics in multiscale systems
    Conference Papers | 2013
    Froyland G; Tordesillas A; Walker DM, 2013, 'Global Markov modelling and analysis of the dynamics of granular deformation and flow', in AIP Conference Proceedings, pp. 563 - 566, http://dx.doi.org/10.1063/1.4811993
    Conference Papers | 2013
    Froyland G; Tordesillas A; Walker DM, 2013, 'Global Markov modelling and analysis of the dynamics of granular deformation and flow', in Yu A; Dong K; Yang R; Luding S (eds.), Powders and Grains 2013: Proceedings of the 7th International Conference on Micromechanics of Granular Media, Powders and Grains 2013, Sydney, Australia, pp. 563 - 566, presented at Powders and Grains 2013, Sydney, Australia, 08 July 2013 - 12 July 2013
    Conference Papers | 2013
    Rahman A; Froyland G, 2013, 'Freight train scheduling on a single line corridor', in Shitan M; Lee LS; Eshkuvatov ZK (eds.), AIP Conference Proceedings, Sarawak, Malaysia, pp. 159 - 168, presented at Statistics and Operational Research International Conference (SORIC 2013), Sarawak, Malaysia, 03 December 2013 - 05 December 2013, http://dx.doi.org/10.1063/1.4894342
    Conference Proceedings (Editor of) | 2012
    Bahsoun W; Bose C; Froyland G, (eds.), 2012, 'Ergodic Theory, Open Dynamics, and Coherent Structures', Springer, Banff International Research Station, presented at Ergodic Theory, Probabilistic Methods and Applications, Banff International Research Station, 08 April 2012 - 13 April 2012
    Preprints | 2012
    Bose C; Froyland G; González-Tokman C; Murray R, 2012, Ulam's method for Lasota-Yorke maps with holes
    Preprints | 2012
    Froyland G; González-Tokman C; Quas A, 2012, Stability and approximation of random invariant densities for Lasota-Yorke map cocycles
    Preprints | 2012
    Froyland G; Hüls T; Morriss GP; Watson TM, 2012, Computing covariant vectors, Lyapunov vectors, Oseledets vectors, and dichotomy projectors: a comparative numerical study
    Conference Papers | 2012
    Walker DM; Tordesillas A; Froyland G, 2012, 'Similarity networks of the functional evolution of cycles in structural networks', in In Proceedings, International Symposium on Nonlinear Theory and Its Application, International Symposium on Nonlinear Theory and Its Applications, Majorca, Spain, pp. 502 - 505, presented at International Symposium on Nonlinear Theory and Its Applications, Majorca, Spain, 22 October 2012 - 26 October 2012
    Preprints | 2011
    Froyland G; Junge O; Koltai P, 2011, Estimating long term behavior of flows without trajectory integration: the infinitesimal generator approach
    Preprints | 2011
    Froyland G; Stancevic O, 2011, Metastability, Lyapunov exponents, escape rates, and topological entropy in random dynamical systems
    Preprints | 2010
    Froyland G; Lloyd S; Quas A, 2010, A semi-invertible Oseledets Theorem with applications to transfer operator cocycles
    Preprints | 2010
    Froyland G; Murray R; Stancevic O, 2010, Spectral degeneracy and escape dynamics for intermittent maps with a hole
    Preprints | 2010
    Froyland G; Santitissadeekorn N; Monahan A, 2010, Transport in time-dependent dynamical systems: Finite-time coherent sets
    Preprints | 2010
    Santitissadeekorn N; Froyland G; Monahan A, 2010, Optimally coherent sets in geophysical flows: A new approach to delimiting the stratospheric polar vortex
    Conference Papers | 2009
    Bley A; Boland N; Fricke C; Froyland G, 2009, 'Clique-based facets for the precedence constrained knapsack problem', in Proceedings of the 9th Workshop on Models and Algorithms for Planning and Scheduling Problems, 9th Workshop on Models and Algorithms for Planning and Scheduling Problems (MAPSP 2009), Rolduc, The Netherlands, pp. 259 - 269, presented at 9th Workshop on Models and Algorithms for Planning and Scheduling Problems (MAPSP 2009), Rolduc, The Netherlands, 29 June 2009 - 03 July 2009
    Preprints | 2009
    Froyland G; Lloyd S; Santitissadeekorn N, 2009, Coherent sets for nonautonomous dynamical systems
    Conference Papers | 2008
    Froyland G; Dellnitz M; Padberg K; Schwalb M, 2008, 'A transfer operator based numerical investigation of coherent structures in three dimensional Southern ocean circulation', in U21 International Conference on Energy Technologies and Policy 2008, Energy Technologies and Policy, Birmingham, United Kingdom, presented at Energy Technologies and Policy, Birmingham, United Kingdom, 07 September 2008 - 10 September 2008
    Preprints | 2008
    Froyland G; Lloyd S; Quas A, 2008, Coherent structures and isolated spectrum for Perron-Frobenius cocycles
    Conference Papers | 2004
    Froyland G; Menabde M; Stone P; Hodson D, 2004, 'The value of additional drilling to open pit mining projects', in Orebody Modelling and Strategic Mine Planning, Perth, WA, pp. 245 - 252, presented at Orebody Modelling and Strategic Mine Planning, Perth, WA, 22 November 2004 - 24 November 2004
    Conference Papers | 2004
    Menabde M; Froyland G; Stone P; Yeates G, 2004, 'Mining schedule optimisation for conditionally simulated orebodies', in Proceedings of Orebody Modelling and Strategic Mine Planning- Uncertainty and Risk Management International Symposium, Orebody Modelling and Strategic Mine Planning - Uncertainty and Risk Management International Symposium 2004, Carlton, Victoria, pp. 357 - 342, presented at Orebody Modelling and Strategic Mine Planning - Uncertainty and Risk Management International Symposium 2004, Carlton, Victoria, 22 November 2004 - 24 November 2004
    Conference Papers | 2004
    Menabde M; Froyland G; Stone P; Yeates G, 2004, 'Mining schedule optimisation for conditionally simulated orebodies', in Dimitrakopoulos R (ed.), OREBODY MODELLING AND STRATEGIC MINE PLANNING: UNCERTAINTY AND RISK MANAGEMENT MODELS, AUSTRALASIAN INST MINING & METALLURGY, Perth, AUSTRALIA, pp. 353 - 357, presented at International Symposium on Orebody Modelling and Strategic Mine Planning, Perth, AUSTRALIA, 22 November 2004 - 23 November 2004, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000238645800045&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
    Conference Papers | 2004
    Stone P; Froyland G; Menabde M; Law B; Pasyar R; Monkhouse P, 2004, 'Blasor - Blended iron ore mine planning optimisation at Yandi, Western Australia', in Dimitrakopoulos R (ed.), Orebody Modelling and Strategic Mine Planning: Uncertainty and Risk Management Models, AUSTRALASIAN INST MINING & METALLURGY, Perth, AUSTRALIA, pp. 117 - 120, presented at International Symposium on Orebody Modelling and Strategic Mine Planning, Perth, AUSTRALIA, 22 November 2004 - 23 November 2004, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000238645800016&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
    Conference Papers | 2004
    Stone P; Froyland G; Menabde M; Law B; Pasyar R; Monkhouse P, 2004, 'Blasor-blended iron-ore mine planning optimisation at Yandi', in Proceedings of Orebody Modelling and Strategic Mine Planning - Uncertainty and Risk Management, Orebody Modelling and Strategic Mine Planning - Uncertainty and Risk Management International Symposium 2004, Carlton, Victoria, pp. 285 - 288, presented at Orebody Modelling and Strategic Mine Planning - Uncertainty and Risk Management International Symposium 2004, Carlton, Victoria, 22 November 2004 - 24 November 2004
    Conference Papers | 1998
    Froyland G; Aihara K, 1998, 'Statistical analysis of a randomly stimulated neuron', in Usui S; Oori T (ed.), ICONIP'98: THE FIFTH INTERNATIONAL CONFERENCE ON NEURAL INFORMATION PROCESSING JOINTLY WITH JNNS'98: THE 1998 ANNUAL CONFERENCE OF THE JAPANESE NEURAL NETWORK SOCIETY - PROCEEDINGS, VOLS 1-3, OHMSHA LTD, KITAKYUSHU, JAPAN, pp. 1442 - 1445, presented at 5th International Conference on Neural Information Processing (ICONIP 98) / 1998 Annual Conference of the Japanese-Neural-Network-Society (JNNS 98), KITAKYUSHU, JAPAN, 21 October 1998 - 23 October 1998, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000079630400328&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

  • Einstein Visiting Fellowship (2022-2024) "Coherent dynamics in complex systems with applications to engineering, geophysical, and social systems" 
  • ARC Discovery Project (2022-2024) "Which predictions can we trust? Stability of chaotic random dynamical systems" (with C. Gonzalez-Tokman and A. Quas)
  • ARC Discovery Project (2021-2023) "Modern mathematics to unravel the birth of coherence in dynamical systems".
  • Universities Australia - Germany Joint Research Co-operation Scheme (2020-2021): "How does turbulence work?" (with P. Koltai)
  • ARC Discovery Project (2018-2020) "New mathematics for quantification and assessment of fluctuations and extremes in time-dependent dynamical systems" (with C. Gonzalez-Tokman, S. Vaienti, and E. van Sebille)
  • NHMRC Project Grant (2018-2020) "Very fast, accurate and low dose imaging for radiotherapy treatments" (with R. O’Brien, J-J. Sonke, S. Vinod, and C-C. Shieh)
  • Cancer Australia (2017-2019): "High Precision Radiotherapy: Dual Cardiac and Respiratory Motion Management" (with R. O'Brien, J. Booth, P. Bannon, and F. Hegi-Johnson)
  • Universities Australia-Germany Joint Research Co-operation Scheme (2017-2018): "Robust detection and prediction of coherent structures in geophysical, physical, and chemical systems" (with O. Junge)
  • Cancer Australia (2015-2017): "Reducing thoracic imaging dose and improving image quality in radiotherapy treatments" (with R. O'Brien and J-J. Sonke)
  • ARC Discovery Project (2015-2017): "Discovery and tracking of coherent structures in geophysical flows" (with M. Dellnitz, O. Junge, and A. Quas)
  • ARC Future Fellowship (2012-2015): "A probabilistic and geometric understanding of transport and metastability in mathematical geophysical flows"
  • ARC Discovery Project (2012-2014): "Extracting macroscopic variables and their dynamics in multiscale systems with metastable states" (with G. Gottwald)
  • ARC Discovery Project (2011-2013): "Innovative mathematics using transfer operators to reveal hidden ordered structures in geophysical flows" (with M. Dellnitz and A. Quas)
  • Go8-Germany Joint Research Co-operation Scheme (2010-2011): "The climatic and environmental impacts of ocean circulation: tracking ocean eddies" (with M. Dellnitz)
  • Chief Investigator (2008-2013), ARC Centre of Excellence for Mathematics and Statistics of Complex Systems.
  • ARC Discovery Project (2007-2009): "A Dynamical Systems Approach to Mapping Southern Ocean Circulation Pathways" (with M. Dellnitz and A. Treguier)
  • 2006 John Yu Fellowship to Europe
  • ARC Linkage Project (2005-2007): "A Mathematical Approach to Flexible Management of Open Pit Mines with Uncertain Geology and Unpredictable Demand" (with N.Boland).
  • ARC Linkage Project (2003-2004): "Using Mathematics to Maximise the Value of Open Pit Mines" (with N. Boland and P. Taylor)

 

Externally funded projects

  • External Funding (Defence Science and Technology Organisation). “Scheduling of amphibious operations and efficient ship packing”.
  • External Funding (NSW Department of Crime Research and Statistics). "Prison populations and correctional outlays: The effect of reducing re-imprisonment" (with Don Weatherburn)
  • External Funding (Hunter Valley Coal Chain Logistics Team): "Increasing Throughput at Newcastle Port" (with P. Pudney)
  • External Funding (Patrick Corporation): "Increasing Container Handling Efficiency at Port Botany" (with MASCOS -- UNSW & UniMelb, and Matheon)
  • External Funding (BHP Billiton): "Mine Modelling, Optimization, and Valuation"

  • Einstein Visiting Fellow, Einstein Foundation Berlin (2022-2024)
  • Fellow of the Society for Industrial and Applied Mathematics (SIAM) (2021)
  • Fellow of the Australian Academy of Science (2020)
  • Fellow of the Royal Society of New South Wales (2019)
  • Fellow of Australian Mathematical Society (2017)
  • John von Neumann Visiting Professorship, Technische Universität München (2016)
  • Visiting Scholar, Initiative d’Excellence de l’université de Bordeaux (2016)
  • Vice-Chancellor’s Award for Teaching Excellence - Postgraduate Research Supervision (2015)
  • Erskine Visiting Fellowship (2013)
  • ARC Future Fellowship (2012-2015)
  • John Yu Fellowship (2006)
  • BHP Billiton Innovation Prize (2004)
  • Australian Academy of Sciences / Japan Society for the Promotion of Science Fellowship (1997-99)
  • Golda Meir – Einstein Institute of Mathematics Fellowship (1997, declined)

Recent Keynote Invitations

  • International Congress on Industrial and Applied Mathematics (ICIAM) 2023
  • SIAM Conference on Mathematics of Planet Earth 2020
  • Equadiff 2019
  • SIAM Conference on Applications of Dynamical Systems 2017
  • SIAM Annual Meeting 2016

Current Editorial and Other Duties 

  • Member of ARC College of Experts
  • Editor-in-Chief of Australian Mathematical Society Lecture Series
  • Editorial Board of SIAM Journal on Applied Dynamical Systems
  • Editorial Board of Physica D.
  • Editorial Board of Stochastics and Dynamics.
  • Editorial Board of the Journal of Computational Dynamics.

Service positions

  • National Committee for Mathematical Sciences, Australian Academy of Science (2022-).
  • Head of Fundamental Data Science, UNSW Data Science Hub (2020-).
  • Director of Postgraduate Research (Future Students), UNSW School of Mathematics and Statistics, (2019-2020).
  • Scientific Committee of the MATRIX Research Centre, UniMelb, (2015-2019).
  • Deputy Director of the Australian Mathematical Sciences Institute - AMSI, (2014-2016).