Nonuniformly Hyperbolic Attractors

DOI10.1007/978-3-030-62814-7zbMath1459.37001OpenAlexW3116099116MaRDI QIDQ3386605

José F. Alves

Publication date: 5 January 2021

Published in: Springer Monographs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-62814-7

zbMATH Keywords

SRB measuresexponential decay of correlationsnonuniformly hyperbolic systemspartially hyperbolic attractorsphysical measurePalis conjecture

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Dynamical systems with hyperbolic behavior (37Dxx)

Related Items (5)

Differentiability of the diffusion coefficient for a family of intermittent maps ⋮ Persistent non-statistical dynamics in one-dimensional maps ⋮ Self‐adjoint Laplacians and symmetric diffusions on hyperbolic attractors ⋮ Robust exponential mixing and convergence to equilibrium for singular-hyperbolic attracting sets ⋮ Entropy formula for systems with inducing schemes

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