Submissions
Submissions to refereed journals
- Gary Froyland, Manu Kalia, and Péter Koltai.
Spectral clustering of time-evolving networks using the inflated dynamic Laplacian for graphs. Submitted. arXiv version. - Jason Atnip, Gary Froyland, and Péter Koltai.
An inflated dynamic Laplacian to track the emergence and disappearance of semi-material coherent sets. Submitted. arXiv version
- Jason Atnip, Gary Froyland, Cecilia González-Tokman, and Anthony Quas.
Universal Gap Growth for Lyapunov Exponents of Perturbed Matrix Products. Submitted. Submitted version
- Jason Atnip, Gary Froyland, Cecilia González-Tokman, and Sandro Vaienti.
Compound Poisson statistics for dynamical systems via spectral perturbation. Submitted. arXiv version
Edited books
- Oliver Junge, Oliver Schütze, Gary Froyland, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle.
Advances in Dynamics, Optimization and Computation: A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday. Studies in Systems, Decision and Control, volume 304, Springer, 2020. Springer website - Wael Bahsoun, Chris Bose, and Gary Froyland.
Ergodic Theory, Open Dynamics, and Coherent Structures. Proceedings in Mathematics and Statistics, volume 70, Springer, 2014. Springer website
Book chapters
Refereed book chapters
5. Gary Froyland.
A tutorial on the dynamic Laplacian. To appear in Proceedings of the 2023 International Congress on Industrial and Applied Mathematics (ICIAM). Springer, 2025. Submitted version
4. Anna Klünker, Christiane Schneide, Gary Froyland, Jörg Schumacher, and Kathrin Padberg-Gehle.
Set-oriented and finite-element study of coherent behavior in Rayleigh-Bénard convection. In Oliver Junge, Oliver Schütze, Gary Froyland, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle, editors, Advances in Dynamics, Optimization and Computation. Studies in Systems, Decision and Control, volume 304, pages 86-108, Springer, 2020. Published version
3. Gary Froyland and Kathrin Padberg-Gehle.
Almost-invariant and finite-time coherent sets: directionality, duration, and diffusion. In Wael Bahsoun, Chris Bose, Gary Froyland, editors, Ergodic Theory, Open Dynamics, and Coherent Structures. Proceedings in Mathematics and Statistics, volume 70, pages 171-216, Springer, 2014. Accepted version.
2. Gary Froyland.
Extracting dynamical behaviour via Markov models. In Alistair Mees, editor, Nonlinear Dynamics and Statistics: Proceedings, Newton Institute, Cambridge, 1998, pages 283-324, Birkhauser, 2001. Contents | pdf file | MathReviews doc
1. Michael Dellnitz, Gary Froyland, and Oliver Junge.
The algorithms behind GAIO -- Set oriented numerical methods for dynamical systems. In Bernold Fiedler, editor, Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, pages 145-174, Springer 2001. Abstract | final version | MathReviews doc
Journal articles
Refereed journal articles
103.Gary Froyland and Stefano Galatolo.
Optimal linear response for expanding circle maps. To appear in Nonlinearity, 2025. arXiv version
102.Michael Denes, Shane R. Keating, and Gary Froyland.
Bathymetry imposes a global pattern of cross-front transport in the Southern Ocean. arXiv version
101.Alvaro de Diego Unanue, Gary Froyland, Oliver Junge, and Péter Kolta
A dynamic p-Laplacian. To appear in SIAM Journal on Mathematical Analysis. arXiv version
100. Aleksandar Badza and Gary Froyland.
Identifying the onset and decay of quasi-stationary families of almost-invariant sets with an application to atmospheric blocking events. Chaos 34(12):123153, 2024. arXiv version
99. Gary Froyland and Christopher P. Rock.
Higher Cheeger ratios of features in Laplace-Beltrami eigenfunctions. Applied and Computational Harmonic Analysis 74:101710, 2025. Journal article
98. Jason Atnip, Gary Froyland, Cecilia González-Tokman, and Sandro Vaienti.
Thermodynamic Formalism and Perturbation Formulae for Quenched Random Open Dynamical Systems. To appear in Dissertationes Mathematicae, 2024. arXiv version
97. Gary Froyland, Dimitrios Giannakis, Edoardo Luna, and Joanna Slawinska.
Revealing trends and persistent cycles of non-autonomous systems with autonomous operator-theoretic techniques. Nature Communications, 15:4268-, 2024. Published version
96. Gary Froyland and Péter Koltai.
Detecting the birth and death of finite-time coherent sets. Communications on Pure and Applied Mathematics, 76:3642–3684, 2023. Journal article
95. Jason Atnip, Gary Froyland, Cecilia González-Tokman, and Sandro Vaienti.
Equilibrium states for non-transitive random open and closed dynamical systems. Ergodic Theory and Dynamical Systems, 43(10):3193-3215, 2023. arXiv version
94. Fadi Antown, Gary Froyland, and Stefano Galatolo.
Optimal linear response for Markov Hilbert-Schmidt integral operators and stochastic dynamical systems. Journal of Nonlinear Science, 32(article number 79):1-60, 2022. Journal article
93. Michael C. Denes, Gary Froyland, and Shane R. Keating.
Persistence and material coherence of an ocean eddy. Physical Review Fluids, 7(3):034501, 2022. Journal article
92. Wolf-Juergen Beyn, Gary Froyland, and Thorsten Huels.
Angular values of nonautonomous and random linear dynamical systems. SIAM Journal on Applied Dynamical Systems, 21(2):1245-1286, 2022. Submitted version
91. Ryan Abernathey, Christopher Bladwell, Gary Froyland, and Konstantinos Sakellariou.
Deep Lagrangian connectivity in the global ocean inferred from Argo floats. Journal of Physical Oceanography, 52(5):951-963, 2022. Journal article
90. Gary Froyland, Dimitrios Giannakis, Benjamin Lintner, Maxwell Pike, and Joanna Slawinska.
Spectral analysis of climate dynamics with operator-theoretic approaches. Nature Communications, 12:6570- , 2021. Journal article
89. Jason Atnip, Gary Froyland, Cecilia González-Tokman, and Sandro Vaienti.
Thermodynamic Formalism for Random Weighted Covering Systems. Communications in Mathematical Physics, 386:819–902, 2021. Journal article
88. Fadi Antown, Gary Froyland, and Oliver Junge.
Linear response for the dynamic Laplacian and finite-time coherent sets. Nonlinearity, 34:3337- , 2021. Journal article
87. Harry Crimmins and Gary Froyland.
Fourier approximation of the statistical properties of Anosov maps on tori. Nonlinearity, 33(11):6244- , 2020. Journal article
86. Gary Froyland, Péter Koltai, and Martin Stahn.
Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration. SIAM Journal on Applied Dynamical Systems, 19(3):1659–1700, 2020. Journal article
85. Nathanael Schilling, Gary Froyland, and Oliver Junge.
Higher-Order Finite Element Approximation of the Dynamic Laplacian. ESAIM: Mathematical Modelling and Numerical Analysis, 54:1777–1795, 2020. Revised version
84. Michelle Dunbar, Ricky O'Brian, and Gary Froyland.
Optimal lung imaging for cancer radiation therapy. European Journal of Operational Research, 282(3):1038-1052, 2020. Journal article
83. Davor Dragičević, Gary Froyland, Cecilia González-Tokman, and Sandro Vaienti.
A spectral approach for quenched limit theorems for random hyperbolic dynamical systems. Transactions of the American Mathematical Society, 373:629-664, 2020. Journal article
82. Harry Crimmins and Gary Froyland.
Stability and approximation of statistical limit laws for multidimensional piecewise expanding maps. Annales Henri Poincaré, 20:3113–3161, 2019. Journal article
81. Gary Froyland, Christopher P. Rock, and Konstantinos Sakellariou.
Sparse eigenbasis approximation: multiple feature extraction across spatiotemporal scales with application to coherent set identification.Communications in Nonlinear Science and Numerical Simulation, 77:81-107, 2019. Journal article
80. Philippe Miron, Francesco J. Beron-Vera, Maria J. Olascoaga, Gary Froyland, Julio Sheinbaum, and Paula Perez-Brunius.
Lagrangian geography of the deep Gulf of Mexico. Journal of Physical Oceanography, 49:269-290, 2019. Journal article
79. Gary Froyland, Cecilia González-Tokman, and Rua Murray.
Quenched stochastic stability for eventually expanding-on-average random interval map cocycles. Ergodic Theory and Dynamical Systems, 39(10):2769-2792, 2019. Journal article
78. Gary Froyland, Cecilia González-Tokman, and Anthony Quas. Hilbert space Lyapunov exponent stability. Transactions of the American Mathematical Society, 372:2357-2388, 2019. Journal article
77. Gary Froyland and Oliver Junge.
Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories.SIAM Journal on Applied Dynamical Systems, 17(2):1891-1924, 2018. Journal article
76. Davor Dragičević, Gary Froyland, Cecilia González-Tokman, and Sandro Vaienti.
A spectral approach for quenched limit theorems for random expanding dynamical systems. Communications in Mathematical Physics, 360(3):1121-1187, 2018. Firstview version
75. Fadi Antown, Davor Dragičević, and Gary Froyland.
Optimal linear responses for Markov chains and stochastically perturbed dynamical systems. Journal of Statistical Physics, 170:1051-1087, 2018. Journal article
74. Davor Dragičević, Gary Froyland, Cecilia González-Tokman, and Sandro Vaienti.
Almost sure invariance principle for random piecewise expanding maps. Nonlinearity, 31:2252-2280, 2018. Journal article
73. Davor Dragičević and Gary Froyland.
Hölder continuity of Oseledets splittings for semi-invertible operator cocycles. Ergodic Theory and Dynamical Systems, 38:3, 961–981, 2018. Firstview version
72. Gary Froyland and Naratip Santitissadeekorn.
Optimal mixing enhancement. SIAM Journal on Applied Mathematics, 77(4):1444-1470, 2017. Arxiv version | High resolution version
71. Philippe Miron, Francesco J. Beron-Vera, Maria J. Olascoaga, Julio Sheinbaum, Paula Perez-Brunius, and Gary Froyland.
Lagrangian dynamical geography of the Gulf of Mexico. Scientific Reports - Nature, 7:7021, 2017. Journal article
70. Gary Froyland and Eric Kwok.
A dynamic Laplacian for identifying Lagrangian coherent structures on weighted Riemannian manifolds.Journal of Nonlinear Science, 30:1889–1971, 2020 (published online June 2017). Proof version
69. Alireza Hadjighasem, Mohammad Farazmand, Daniel Blazevski, Gary Froyland, and George Haller.
A Critical Comparison of Lagrangian Methods for Coherent Structure Detection. Chaos, 27:053104, 2017. Journal article
68. Gary Froyland and Péter Koltai.
Estimating long-term behavior of periodically driven flows without trajectory integration. Nonlinearity, 30:1948-1986, 2017. Journal article
67. Gary Froyland, Georg A. Gottwald, and Andy Hammerlindl.
A trajectory-free framework for analysing multiscale systems. Physica D, 328-329:pp34-43, 2016. Journal article
66. Natashia Boland, Irina Dumitrescu, Gary Froyland, and Thomas Kalinowski.
Minimum Cardinality Non-Anticipativity Constraint Sets for Multistage Stochastic Programming with Endogeneous Observation of Uncertainty. Mathematical Programming, Series B, 157(1):69-93, 2016. Journal article
65. Gary Froyland, Cecilia González-Tokman, and Thomas M. Watson.
Optimal mixing enhancement by local perturbation. SIAM Review, 58(3):494-513, 2016. Journal article
64. Gary Froyland and Robyn M. Stuart.
Cheeger inequalities for absorbing Markov chains. Advances in Applied Probability, 48(3), 2016. Journal article
63. Gary Froyland and Cecilia González-Tokman.
Stability and approximation of random invariant measures of Markov chains in random environments. Stochastics and Dynamics, 16(1):1650003, 2016. Submitted version
62. Gary Froyland and Oliver Junge.
On fast computation of finite-time coherent sets using radial basis functions. Chaos, 25:087409, 2015. Submitted version
61. Gary Froyland and Kathrin Padberg-Gehle.
A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data. Chaos, 25:087406, 2015. Submitted version
60. Thomas Peacock, Gary Froyland, and George Haller.
Introduction to Focus Issue: Objective Detection of Coherent Structures. Chaos, 25:087201, 2015. Link to Journal Article
59. Gary Froyland.
Dynamic isoperimetry and the geometry of Lagrangian coherent structures. Nonlinearity, 28:3587-3622, 2015. Journal article
58. Gary Froyland, Cecilia González-Tokman, and Anthony Quas.
Stochastic stability of Lyapunov exponents and Oseledets splitting for semi-invertible matrix cocycles. Communications on Pure and Applied Mathematics, 68(11):2052-2081, 2015. Accepted version
57. Gary Froyland, Christian Horenkamp, Vincent Rossi, and Erik van Sebille.
Studying an Agulhas ring's long-term pathway and decay with finite-time coherent sets. Chaos, 25:083119, 2015. Journal article
56. Gary Froyland and Eric Kwok.
Partitions of networks that are robust to vertex permutation dynamics. Special Matrices, 3:22-42, 2015. Proof version
55. David M. Walker, Antoinette Tordesillas, Nicolas Brodu, Joshua A. Dijksman, Robert P. Behringer, and Gary Froyland.
Self-assembly in a near-frictionless granular material: conformational structures and transitions in uniaxial cyclic compression of hydrogel spheres. Soft Matter, 11:2157-2173, 2015. Submitted version
54. Gary Froyland, Cecilia González-Tokman, and Anthony Quas.
Detecting isolated spectrum of transfer and Koopman operators with Fourier analytic tools. Journal of Computational Dynamics, 1(2):249-278, 2014. Journal Article
53. Gary Froyland, Georg A. Gottwald, and Andy Hammerlindl.
A computational method to extract macroscopic variables and their dynamics in multiscale systems. SIAM Journal on Applied Dynamical Systems, 13(4):1816-1846, 2014. Journal Article
52. Gary Froyland, Robyn M. Stuart, and Erik van Sebille.
How well connected is the surface of the global ocean? Chaos, 24:033126, 2014. Journal Article
51. David M. Walker, Antoinette Tordesillas, and Gary Froyland.
Mesoscale and macroscale kinetic energy fluxes from granular fabric evolution. Phys Rev E, 89:032205, 2014. Journal Article.
50. Gary Froyland, Cecilia González-Tokman, and Anthony Quas.
Stability and approximation of random invariant densities for Lasota-Yorke map cocycles. Nonlinearity, 27:647-660, 2014 Journal Article.
49. Christopher Bose, Gary Froyland, Cecilia González-Tokman, and Rua Murray.
Ulam's method for Lasota-Yorke maps with holes. SIAM Journal on Applied Dynamical Systems, 13(2):1010-1032, 2014. Journal Article.
48. Michelle Dunbar, Gary Froyland, and Cheng-Lung Wu.
An Integrated Scenario-Based Approach for Robust Aircraft Routing, Crew Pairing and Re-timing. Computers and Operations Research, 45:68-86, 2014. Journal Article.
47. Sanjeeva Balasuriya, Gary Froyland, and Naratip Santitissadeekorn.
Absolute flux optimising curves of flows on a surface. Journal of Mathematical Analysis and Applications, 409:119-139, 2014. Journal Article.
46. Gary Froyland, Stephen Maher, and Cheng-Lung Wu.
The recoverable robust tail assignment problem. Transportation Science, 48(3):351-372, 2014. Journal Article.
45. Gary Froyland, Philip K Pollett, and Robyn M Stuart.
A closing scheme for finding almost-invariant sets in open dynamical systems. Journal of Computational Dynamics, 1(1):135-162, 2014. Submitted version.
44. Gary Froyland.
An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems. Physica D, 250:1-19, 2013. Journal Article.
43. David M. Walker, Antoinette Tordesillas, and Gary Froyland.
Examining evolving structural networks using minimal cycle similarity networks: applications to stick-slip granular dynamics. Nonlinear Theory and its Applications, IEICE, Vol. E96-N(4), 2013. Submitted version.
42. Gary Froyland, Thorsten Huls, Gary P. Morriss, and Thomas M. Watson.
Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: a comparative numerical study. Physica D, 247(1):18-39, 2013. Journal Article.
41. Gary Froyland and Ognjen Stancevic.
Metastability, Lyapunov exponents, escape rates, and topological entropy of random dynamical systems Stochastics and Dynamics, 13(4), 2013. Proof version
40. Gary Froyland, Oliver Junge, and Péter Koltai.
Estimating long term behaviour of flows without trajectory integration: the infinitesimal generator approach. SIAM J. Numer. Anal., 51(1):223�247, 2013. Journal Article
39. Gary Froyland, Simon Lloyd, and Anthony Quas.
A semi-invertible Oseledets theorem with applications to transfer operator cocycles. Discrete and Continuous Dynamical Systems, Series A, 33(9):3835-3860, 2013. Journal Article
38. Erik van Sebille, Matthew H. England, and Gary Froyland.
Origin and evolution of the ocean garbage patches derived from surface drifter data. Environmental Research Letters, 7:044040, 2012. Submitted version and Garbage movie
37. Gary Froyland and Kathrin Padberg-Gehle.
Finite-time entropy: a probabilistic approach for measuring nonlinear stretching. Physica D, 241(19):1612-1628, 2012. Proof version
36. Gary Froyland, Christian Horenkamp, Vincent Rossi, Naratip Santitissadeekorn, and Alex Sen Gupta.
Three-dimensional characterization and tracking of an Agulhas Ring. Ocean Modelling, V52-53:69-75, 2012. Journal Article
35. Antoinette Tordesillas, David M. Walker, Gary Froyland, Jie Zhang, and Robert P. Behringer.
Transition Dynamics and Magic-Number-Like Behavior of Frictional Granular Clusters. Physical Review E, 86:011306, 2012. Journal Article
34. Michelle Dunbar, Gary Froyland, and Cheng-Lung Wu.
Robust Airline Schedule Planning: Minimizing Propagated Delay in an Integrated Routing and Crewing Framework. Transportation Science, 46:204-216, 2012. Article in Advance version
33. Natashia Boland, Andreas Bley, Chris Fricke, Gary Froyland, and Renata Sotirov.
Clique-based facets for the precedence constrained knapsack problem. Mathematical Programming, Series A, 133:481-511, 2012. Journal Article
32. Gary Froyland, Rua Murray, and Ognjen Stancevic.
Spectral degeneracy and escape dynamics for intermittent maps with a hole. Nonlinearity, 24:2435 2463, 2011. Journal article
31. Gary Froyland, Naratip Santitissadeekorn, and Adam Monahan.
Transport in time-dependent dynamical systems: Finite-time coherent sets. Chaos, 20:043116, 2010. Journal Article
30. Naratip Santitissadeekorn, Gary Froyland, and Adam Monahan.
Optimally coherent sets in geophysical flows: A new approach to delimiting the stratospheric polar vortex Physical Review E, 82:056311, 2010. Journal Article
29. Gary Froyland, Simon Lloyd, and Naratip Santitissadeekorn.
Coherent sets for nonautonomous dynamical systems. Physica D, 239:1527--1541, 2010. Journal Article
28. Gary Froyland and Ognjen Stancevic.
Escape rates and Perron-Frobenius operators: Open and closed dynamical systems. Discrete and Continuous Dynamical Systems - Series A, 14:457--472, 2010. Journal Article
27. Andreas Bley, Natashia Boland, Chris Fricke, and Gary Froyland.
A strengthened formulation and cutting planes for the open pit mine production scheduling problem. Computers and Operations Research, 37:1641-1647, 2010. Journal Article
26. Gary Froyland, Simon Lloyd, and Anthony Quas.
Coherent structures and isolated spectrum for Perron-Frobenius cocycles. Ergodic Theory and Dynamical Systems, 30:729-756, 2010. Journal Article
25. Michael Dellnitz, Gary Froyland, Christian Horenkamp, Kathrin Padberg-Gehle, and Alex Sen Gupta.
Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators. Nonlinear Processes in Geophysics, 16:655-664, 2009. Journal Article
24. Gary Froyland and Kathrin Padberg.
Almost-invariant sets and invariant manifolds -- connecting probabilistic and geometric descriptions of coherent structures in flows. Physica D, 238(16):1507-1523, 2009. Journal Article
23. Michael Dellnitz, Gary Froyland, Christian Horenkamp, and Kathrin Padberg.
On the Approximation of Transport Phenomena - a Dynamical Systems Approach. GAMM-Mitteilungen, 32(1):47--60, 2009. Journal Article
22. Natashia Boland, Irina Dumitrescu, Gary Froyland, and Ambros M. Gleixner.
LP-Based Disaggregation Approaches to Solving the Open Pit Mining Production Scheduling Problem with Block Processing Selectivity. Computers and Operations Research, 36(4):1064--1089, 2009. Journal article
21. Dalia Terhesiu and Gary Froyland.
Rigorous numerical approximation of Ruelle-Perron-Frobenius operators and topological pressure for expanding maps. Nonlinearity, 21:1953--1966, 2008. Journal Article.
20. Gary Froyland.
Unwrapping eigenfunctions to discover the geometry of almost-invariant sets in hyperbolic maps. Physica D, 237(6):840--853, 2008. Abstract | Journal Article
19. Gary Froyland, Thorsten Koch, Nicole Megow, Emily Duane, and Howard Wren.
Optimizing the landside operation of a container terminal. OR Spectrum, 30:53-75, 2008. Abstract | Journal Article
18. Gary Froyland, Rua Murray, and Dalia Terhesiu.
Efficient computation of topological entropy, pressure, conformal measures, and equilibrium states in one dimension. Physical Review E, 76:036702, 2007. Abstract | Journal Article | MathReviews doc
17. Gary Froyland, Kathrin Padberg, Matthew H. England, and Anne Marie Treguier.
Detecting coherent oceanic structures via transfer operators. Physical Review Letters, 98:224503, 2007. Abstract | Journal Article | Media Report in Science Daily
16. Gary Froyland.
On Ulam approximation of the isolated spectrum and eigenfunctions of hyperbolic maps . Discrete and Continuous Dynamical Systems, Series A, 17(3):671-689, 2007. Abstract | Journal Article | MathReviews doc
15. Gary Froyland.
Statistically optimal almost-invariant sets. Physica D, 200:205-219, 2005. Abstract | Journal Article | MathReviews doc
14. Gary Froyland and Michael Dellnitz.
Detecting and locating near-optimal almost-invariant sets and cycles. SIAM J. Sci. Comput., 24(6): 1839-1863, 2003. Abstract | Journal Article | MathReviews doc
13. David Walker, Gary Froyland, Kevin Judd, and Alistair Mees.
Controllers for nonlinear systems using normal forms. Internat. J. Bifur. Chaos Appl. Sci. Engrg, 13(2):459-465, 2003. Abstract | Journal Article | MathReviews doc
12. Gary Froyland, Oliver Junge, and Gunter Ochs.
Rigorous computation of topological entropy with respect to a finite partition. Physica D, 154(1-2):68-84, 2001. Abstract | Journal Article | MathReviews doc
11. Gary Froyland and Kazuyuki Aihara.
Estimating statistics of neuronal dynamics via Markov chains. Biological Cybernetics, 84(1):31-40, 2001. Abstract | Journal Article
10. Michael Dellnitz, Gary Froyland, and Stefan Sertl.
On the isolated spectrum of the Perron-Frobenius operator. Nonlinearity, 13(4):1171-1188, 2000. Abstract | Journal Article | MathReviews doc
9. Gary Froyland and Kazuyuki Aihara.
Rigorous numerical estimation of Lyapunov exponents and invariant measures of iterated function systems and random matrix products. Internat. J. Bifur. Chaos Appl. Sci. Engrg., 10(1):103-122, 2000. Abstract | Journal Article | MathReviews doc
8. Gary Froyland.
Ulam's method for random interval maps. Nonlinearity, 12:1029-1052, 1999. Abstract | Journal Article | MathReviews doc
7. Gary Froyland.
Using Ulam's method to calculate entropy and other dynamical invariants. Nonlinearity, 12(1):79-101, 1999. Abstract | Journal Article | MathReviews doc
6. Liang-yue Cao, Alistair I. Mees, Kevin Judd and Gary Froyland.
Determining the minimum embedding dimensions of input-output time series data. Internat. J. Bifur. Chaos Appl. Sci. Engrg., 8(7):1491-1504, 1998. Abstract | Journal Article (tar file with .ps file and figures)
5. Gary Froyland.
Approximating physical invariant measures of mixing dynamical systems in higher dimensions. Nonlinear Anal., 32(7):831-360, 1998. Abstract | Journal Article | MathReviews doc
4. Gary Froyland.
Computer-assisted bounds for the rate of decay of correlations. Comm. Math. Phys., 189(1):237-257, 1997. Abstract | Journal Article | MathReviews doc
3. Gary Froyland.
Finite approximation of Sinai-Bowen-Ruelle measures of Anosov systems in two dimensions. Random Comput. Dynam., 3(4):251-264, 1995. Abstract | pdf file | MathReviews doc
2. Gary Froyland, Kevin Judd, Alistair I. Mees, Kenji Murao, and David Watson.
Constructing invariant measures from data. Internat. J. Bifur. Chaos Appl. Sci. Engrg., 5(4):1181-1192, 1995. Abstract | Journal Article
1. Gary Froyland, Kevin Judd, and Alistair I. Mees.
Estimation of Lyapunov exponents of dynamical systems using a spatial average. Phys. Rev. E, 51(4):2844-2855, 1995. Abstract | Journal Article | MathReviews doc
Conference proceedings
Refereed conference proceedings & other journals
22. Bharat Monga, Gary Froyland, and Jeff Moehlis.
Synchronizing and Desynchronizing Neural Populations through Phase Distribution Control. Proceedings of the 2018 American Control Conference, June 27-29, Milwaukee, pp. 2808--2813, 2018. Conference article
21. Sebastian Pucilowski, Antoinette Tordesillas, and Gary Froyland.
Self-organization in the localised failure regime: metastable attractors and their implications on force chain functionality, in Proceedings of Powders and Grains 2017, 3-7 July 2017, EPJ Web of Conferences, 140:10007, 2017. Conference Article
20. Amirah Rahman and Gary Froyland.
Freight train scheduling on a single line corridor, In AIP Conference Proceedings, STATISTICS AND OPERATIONAL RESEARCH INTERNATIONAL CONFERENCE (SORIC 2013), 1613:159-168, 2014. Conference Article
19. Gary Froyland, Antoinette Tordesillas, and David M. Walker.
Global Markov modelling and analysis of the dynamics of granular deformation and flow dynamics, In AIP Conference Proceedings (Powders and Grains, Sydney, 2013), 1542:563-566, 2013. Submitted version
18. David M. Walker, Antoinette Tordesillas, and Gary Froyland.
Similarity Networks of the Functional Evolution of Cycles in Structural Networks, In Proceedings, International Symposium on Nonlinear Theory and its Applications (NOLTA), Majorca, Spain, pages 502--505, 2012. Submitted version
17. Don Weatherburn, Gary Froyland, Steve Moffatt, and Simon Corben.
Prison populations and correctional outlays: The effect of reducing re-imprisonment. Crime and Justice Bulletin NSW. Volume 138, 2009. Submitted version
16. Andreas Bley, Natashia Boland, Christopher Fricke, and Gary Froyland.
Clique-based facets for the precedence constrained knapsack problem. In Proceedings of the 9th Workshop on Models and Algorithms for Planning and Scheduling Problems (MAPSP 2009), Rolduc, The Netherlands, (eds. C. Stein, M. Uetz, and T. Vredeveld), pages 259-269, 2009. Submitted version
15. Gary Froyland, Marcel Schwalb, Kathrin Padberg, and Michael Dellnitz.
A transfer operator based numerical investigation of coherent structures in three-dimensional Southern ocean circulation. In Proceedings of the 2008 International Symposium on Nonlinear Theory and its Applications, Budapest, September 2008, pages 313-316, 2008. Submitted version
14. Gary Froyland, Merab Menabde, Peter Stone, and Dave Hodson.
The Value of Additional Drilling to Open Pit Mining Projects. In Proceedings of Orebody Modelling and Strategic Mine Planning - Uncertainty and Risk Management, pages 169-176, Perth, November 2004. Accepted version
NOTE THAT THERE ARE SEVERAL CRUCIAL MISPRINTS IN THE RE-TYPESET AND REPRINTED CHAPTER IN ``ADVANCES IN STRATEGIC MINE PLANNING'', SPRINGER 2018.
13. Merab Menabde, Gary Froyland, Peter Stone, and Gavin Yeates.
Mining Schedule Optimisation for Conditionally Simulated Orebodies. In Proceedings of Orebody Modelling and Strategic Mine Planning - Uncertainty and Risk Management, pages 357-342, Perth, November 2004. Reprinted article
12. Peter Stone, Gary Froyland, Merab Menabde, Brian Law, Reza Pasyar, and Peter Monkhouse.
Blasor - Blended Iron Ore Mine Planning Optimisation at Yandi. In Proceedings of Orebody Modelling and Strategic Mine Planning - Uncertainty and Risk Management, pages 285-288, Perth, November 2004. Reprinted article
11. Gary Froyland.
Markov modelling of random dynamical systems. In Proceedings of Equadiff 99, Berlin, Germany, August 1999. Abstract | postscript file (780K)
10. Michael Dellnitz, Gary Froyland, and Stefan Sertl.
A conjecture on the existence of isolated eigenvalues of the Perron-Frobenius operator. In Proceedings of Equadiff 99, Berlin, Germany, August 1999. Abstract | postscript file (???K)
9. Gary Froyland and Kazuyuki Aihara.
Statistical analysis of a randomly stimulated neuron. In Proceedings of the 1998 International Conference on Neural Information Processing, Kitakyushu, Japan, October 1998. volume 3, pages 1442-1445, 1998. Abstract | postscript file (560K)
8. Gary Froyland and Kazuyuki Aihara.
Ulam formulae for random and forced systems In Proceedings of the 1998 International Symposium on Nonlinear Theory and its Applications, Crans-Montana, Switzerland, September 1998, volume 2, pages 623-626, 1998. Abstract | postscript file (85K)
7. Gary Froyland.
Finding slowly decaying observables. In Proceedings of the 1998 International Symposium on Nonlinear Theory and its Applications, Crans-Montana, Switzerland, September 1998, volume 1, pages 183-186, 1998. Abstract | postscript file (120K)
6. Gary Froyland.
Mixing invariant densities. In Proceedings of the 1998 International Symposium on Artificial Life and Robotics, Beppu, Oita, Japan, January 1998. volume 1, pages 346-349, 1998. Abstract | postscript file (120K)
5. Gary Froyland.
Computing physical invariant measures. In Proceedings of the 1997 International Symposium on Nonlinear Theory and its Applications, Hawaii, December 1997, volume 2, pages 1129-1132, 1997. Abstract | postscript file (135K)
4. Liangyue Cao, Alistair Mees, Kevin Judd, and Gary Froyland.
Identification of variable relations from multivariate chaotic time series data. In Proceedings of the 1997 International Symposium on Nonlinear Theory and its Applications, Hawaii, December 1997, volume 2, pages 1305-1308, 1997. Abstract
3. Gary Froyland.
Abstract of Estimating Physical Invariant Measures and Space Averages of Dynamical Systems Indicators. Bull. Austral. Math. Soc., 56(1):157-159, 1997. Text version
2. Gary Froyland, Kevin Judd, Alistair I. Mees, and Kenji Murao.
Lyapunov exponents and triangulations. In Proceedings of the 1993 International Symposium on Nonlinear Theory and its Applications, Hawaii, December 1993, volume 1, pages 281-286, 1993. Abstract | postscript file (50K)
1. Alistair I. Mees, Kenji Murao, Kevin Judd, and Gary Froyland.
Triangulations on tori and density estimation. In Proceedings of the 1993 International Symposium on Nonlinear Theory and its Applications, Hawaii, December 1993, volume 1, pages 275-280, 1993.
Other publications
- Andreas Bley, Natashia Boland, Gary Froyland, and Mark Zuckerberg.
Solving mixed integer nonlinear programming problems for mine production planning with stockpiling. Archived. Archived version. - S. Mehrdad Heidari and Gary Froyland.
On quantifying the space of uncertainty of stochastic simulations. Submitted. Submitted version - Natashia Boland, Irina Dumitrescu, and Gary Froyland.
A Multistage Stochastic Programming Approach to Open Pit Mining Production Scheduling with Uncertain Geology. Submitted. Archived copy - Gary Froyland, Thorsten Koch, Nicole Megow, Andre Costa, and Emily Duane
Finding the Strategic Corridor. Final report on the pilot project regarding control and optimising of the new automated RMG based road/rail exchange area at Patrick's Port Botany container terminal. October 2005. - Gary Froyland.
On estimating invariant measures and Lyapunov exponents for iid compositions of maps. Technical report, 1998. Abstract | pdf file - Gary Froyland.
Estimating Physical Invariant Measures and Space Averages of Dynamical Systems Indicators. PhD thesis. The University of Western Australia. Abstract (text) | Contents page (text) | Entire thesis (pdf) - Gary Froyland.
Notes I wrote in the mid-90's for a short course on Ergodic theory of differentiable dynamical systems. - Gary Froyland.
Chaos, shadowing, and computer orbits of dynamical systems. Honours thesis. The University of Queensland, Australia.