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Dr Jason Atnip
Casual Academic

Dr Jason Atnip

PhD. Mathematics, University of North Texas

Science
School of Mathematics & Statistics

My research concerns applied and statistical aspects of dynamical systems and ergodic theory. I am interested in using functional analytic and spectral methods to prove stochastic, fractal geometric, and extreme value theoretic properties of dynamical systems. My results can be applied to ocean and atmospheric models, for example, to determine the frequency one might expect to observe a particular extreme temperature or weather event.
Phone
9385 7118
E-mail
j.atnip@unsw.edu.au
Location
School of Mathematics and Statistics UNSW Sydney NSW 2052 The Red Centre Room 5102
  • Journal articles | 2022
    Atnip J; Froyland G; Gonzalez-Tokman C; Vaienti S, 2022, 'Equilibrium states for non-transitive random open and closed dynamical systems', ERGODIC THEORY AND DYNAMICAL SYSTEMS, http://dx.doi.org/10.1017/etds.2022.68
    Journal articles | 2021
    Atnip J; Froyland G; González-Tokman C; Vaienti S, 2021, 'Equilibrium states for non-transitive random open and closed dynamical systems', , http://dx.doi.org/10.1017/etds.2022.68
    Journal articles | 2021
    Atnip J; Froyland G; González-Tokman C; Vaienti S, 2021, 'Thermodynamic Formalism for Random Interval Maps with Holes', , http://arxiv.org/abs/2103.04712v1
    Journal articles | 2021
    Atnip J; Froyland G; González-Tokman C; Vaienti S, 2021, 'Thermodynamic Formalism for Random Weighted Covering Systems', Communications in Mathematical Physics, 386, pp. 819 - 902, http://dx.doi.org/10.1007/s00220-021-04156-1
    Journal articles | 2020
    Atnip J; Sumi H; Urbański M, 2020, 'The Dynamics and Geometry of Semi-Hyperbolic Rational Semigroups', , http://arxiv.org/abs/2004.13990v2
    Journal articles | 2020
    Atnip J; Urbański M, 2020, 'Critically finite random maps of an interval', Discrete and Continuous Dynamical Systems- Series A, 40, pp. 4839 - 4906, http://dx.doi.org/10.3934/dcds.2020204
    Journal articles | 2018
    Atnip J; Roychowdhury MK; Urbański M, 2018, 'Quantization dimension for infinite conformal iterated function systems', , http://arxiv.org/abs/1811.00299v1
    Journal articles | 2017
    Atnip J, 2017, 'An Almost Sure Invariance Principle for Several Classes of Random Dynamical Systems', , http://arxiv.org/abs/1702.07691v2
    Journal articles | 2017
    Atnip J, 2017, 'Dimensions of non-autonomous meromorphic functions of finite order', , http://arxiv.org/abs/1708.05461v2
    Journal articles | 2017
    Atnip J, 2017, 'Non-autonomous conformal graph directed Markov systems', , http://arxiv.org/abs/1706.09978v1
  • Preprints | 2023
    Atnip J; Froyland G; Gonzalez-Tokman C; Vaienti S, 2023, Thermodynamic Formalism and Perturbation Formulae for Quenched Random Open Dynamical Systems, , http://arxiv.org/abs/2307.00774v1
    Preprints | 2023
    Atnip J; Froyland G; González-Tokman C; Vaienti S, 2023, Compound Poisson statistics for dynamical systems via spectral perturbation, , http://arxiv.org/abs/2308.10798v1
    Preprints | 2022
    Atnip J; Froyland G; Gonzalez-Tokman C; Vaienti S, 2022, Perturbation formulae for quenched random dynamics with applications to open systems and extreme value theory, , http://arxiv.org/abs/2206.02471v1
    Preprints | 2021
    Atnip J; Froyland G; González-Tokman C; Vaienti S, 2021, Equilibrium states for non-transitive random open and closed dynamical systems, , http://dx.doi.org/10.48550/arxiv.2107.03776
    Preprints | 2021
    Atnip J; Froyland G; González-Tokman C; Vaienti S, 2021, Thermodynamic Formalism for Random Interval Maps with Holes, , http://dx.doi.org/10.48550/arxiv.2103.04712
    Preprints | 2020
    Atnip J; Froyland G; González-Tokman C; Vaienti S, 2020, Thermodynamic Formalism for Random Weighted Covering Systems, , http://dx.doi.org/10.48550/arxiv.2002.11421