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Showing 1-20 of 156 results

  1. Furstenberg Theory of Mixed Random-Quasiperiodic Cocycles

    We derive a criterion for the positivity of the maximal Lyapunov exponent of generic mixed random-quasiperiodic linear cocycles, a model introduced...

    Ao Cai, Pedro Duarte, Silvius Klein in Communications in Mathematical Physics
    Article 14 June 2023

  2. Positive Lyapunov Exponent in the Hopf Normal Form with Additive Noise

    We prove the positivity of Lyapunov exponents for the normal form of a Hopf bifurcation, perturbed by additive white noise, under sufficiently strong...

    Dennis Chemnitz, Maximilian Engel in Communications in Mathematical Physics
    Article Open access 26 June 2023

  3. Dynamical Systems and C∗-Algebras

    T. Giordano, H. -C. Liao in Encyclopedia of Complexity and Systems Science
    Living reference work entry 2023

  4. Ergodicity and Mixing Properties

    Terrence Adams, Anthony Quas in Encyclopedia of Complexity and Systems Science
    Living reference work entry 2022

  6. Large Deviations of Return Times and Related Entropy Estimators on Shift Spaces

    We prove the large deviation principle for several entropy and cross entropy estimators based on return times and waiting times on shift spaces over...

    Noé Cuneo, Renaud Raquépas in Communications in Mathematical Physics
    Article 22 May 2024

  8. Ergodic Theory: Nonsingular Transformations

    Alexandre I. Danilenko, Cesar E. Silva in Encyclopedia of Complexity and Systems Science
    Living reference work entry 2022

  10. Ergodic Theory: Basic Examples and Constructions

    Matthew Nicol, Karl Petersen in Encyclopedia of Complexity and Systems Science
    Living reference work entry 2022

  11. Sarnak’s Conjecture from the Ergodic Theory Point of View

    Joanna Kułaga-Przymus, Mariusz Lemańczyk in Encyclopedia of Complexity and Systems Science
    Living reference work entry 2020

  12. Bayes Posterior Convergence for Loss Functions via Almost Additive Thermodynamic Formalism

    Statistical inference can be seen as information processing involving input information and output information that updates belief about some unknown...

    Artur O. Lopes, Silvia R. C. Lopes, Paulo Varandas in Journal of Statistical Physics
    Article 03 February 2022

  13. Parallels Between Topological Dynamics and Ergodic Theory

    Wen Huang, Song Shao, **angdong Ye in Encyclopedia of Complexity and Systems Science
    Living reference work entry 2020

  15. Joinings in Ergodic Theory

    Thierry de la Rue in Encyclopedia of Complexity and Systems Science
    Living reference work entry 2020

  16. Ergodic Theory: Recurrence

    Nikos Frantzikinakis, Randall McCutcheon in Encyclopedia of Complexity and Systems Science
    Living reference work entry 2020

  17. Transfer Operators and Limit Laws for Typical Cocycles

    We show that typical cocycles (in the sense of Bonatti and Viana) over irreducible subshifts of finite type obey several limit laws with respect to...

    Kiho Park, Mark Piraino in Communications in Mathematical Physics
    Article 07 January 2022

  19. Lyapunov Spectrum Properties and Continuity of the Lower Joint Spectral Radius

    In this paper we study ergodic optimization and multifractal behavior of Lyapunov exponents for matrix cocycles. We show that the restricted...

    Reza Mohammadpour in Journal of Statistical Physics
    Article Open access 15 April 2022

  20. Symbolic Systems with Prescribed Partial Digit Density

    Alex J. Becker, Alexandre T. Baraviera in Journal of Statistical Physics
    Article 17 August 2023
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