Lyapunov exponents for random maps
DOI10.3934/DCDSB.2022058OpenAlexW3136108429MaRDI QIDQ2082013
Yushi Nakano, Hisayoshi Toyokawa, Fumihiko Nakamura
Publication date: 30 September 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.11531
Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Flows on surfaces (37E35) Random iteration (37H12)
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Cites Work
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- Nonexistence of Lyapunov exponents for matrix cocycles
- Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms
- Takens' last problem and existence of non-trivial wandering domains
- Representation of Markov chains by random maps: existence and regularity conditions
- Quadratic maps without asymptotic measure
- Topological pressure and the variational principle for noncompact sets
- On the multiplicative ergodic theorem for uniquely ergodic systems
- Attractors and time averages for random maps
- Topological entropy of irregular sets
- Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
- Sets of ``non-typical points have full topological entropy and full Hausdorff dimension
- Empirical measures of partially hyperbolic attractors
- Abundance of observable Lyapunov irregular sets
- Dirac physical measures on saddle-type fixed points
- Local limit theorem for randomly deforming billiards
- Stochastic stability of the classical Lorenz flow under impulsive type forcing
- Irregular sets are residual
- Historic behaviour for random expanding maps on the circle
- Abundance of wild historic behavior
- Infinitely many stochastically stable attractors
- Stochastic stability at the boundary of expanding maps
- Empiric Stochastic Stability of Physical and Pseudo-physical Measures
- Heteroclinic attractors: Time averages and moduli of topological conjugacy
- Random perturbations of codimension one homoclinic tangencies in dimension 3
- Historic behaviour for nonautonomous contraction mappings
- Historic behavior in nonhyperbolic homoclinic classes
- Decay of correlations and laws of rare events for transitive random maps
- On Takens’ last problem: tangencies and time averages near heteroclinic networks
- Pointwise dimension and ergodic decompositions
- Chaos
- Topological entropy for divergence points
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