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Dr Jason Atnip

Dr Jason Atnip

Casual Academic

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 Â鶹Éçmadou Sydney NSW 2052 The Red Centre Room 5102
  • Journal articles | 2023
    Atnip J; Froyland G; González-Tokman C; Vaienti S, 2023, 'Equilibrium states for non-transitive random open and closed dynamical systems', Ergodic Theory and Dynamical Systems, 43, pp. 3193 - 3215,
    Journal articles | 2021
    Atnip J; Froyland G; González-Tokman C; Vaienti S, 2021, 'Equilibrium states for non-transitive random open and closed dynamical systems', ,
    Journal articles | 2021
    Atnip J; Froyland G; González-Tokman C; Vaienti S, 2021, 'Thermodynamic Formalism for Random Interval Maps with Holes', ,
    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,
    Journal articles | 2020
    Atnip J; Sumi H; Urbański M, 2020, 'The Dynamics and Geometry of Semi-Hyperbolic Rational Semigroups', ,
    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,
    Journal articles | 2018
    Atnip J; Roychowdhury MK; Urbański M, 2018, 'Quantization dimension for infinite conformal iterated function systems', ,
    Journal articles | 2017
    Atnip J, 2017, 'An Almost Sure Invariance Principle for Several Classes of Random Dynamical Systems', ,
    Journal articles | 2017
    Atnip J, 2017, 'Dimensions of non-autonomous meromorphic functions of finite order', ,
    Journal articles | 2017
    Atnip J, 2017, 'Non-autonomous conformal graph directed Markov systems', ,
  • Preprints | 2024
    Atnip J; Froyland G; Koltai P, 2024, An inflated dynamic Laplacian to track the emergence and disappearance of semi-material coherent sets,
    Preprints | 2023
    Atnip J; Froyland G; Gonzalez-Tokman C; Vaienti S, 2023, Thermodynamic Formalism and Perturbation Formulae for Quenched Random Open Dynamical Systems,
    Preprints | 2023
    Atnip J; Froyland G; González-Tokman C; Quas A, 2023, Universal Gap Growth for Lyapunov Exponents of Perturbed Matrix Products,
    Preprints | 2023
    Atnip J; Froyland G; González-Tokman C; Vaienti S, 2023, Compound Poisson statistics for dynamical systems via spectral perturbation,
    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,
    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 | 2020
    Atnip J; Froyland G; González-Tokman C; Vaienti S, 2020, Thermodynamic Formalism for Random Weighted Covering Systems,