A Note on the Large Deviations for Piecewise Expanding Multidimensional Maps

DOI10.1007/978-3-319-09867-8_1zbMath1328.37016arXiv1110.5488OpenAlexW1722701916MaRDI QIDQ3460642

Romain Aimino, Sandro Vaienti

Publication date: 8 January 2016

Published in: Nonlinear Systems and Complexity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5488

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (4)

Fourier approximation of the statistical properties of Anosov maps on tori ⋮ Improvements of Plachky--Steinebach Theorem ⋮ Stability and approximation of statistical limit laws for multidimensional piecewise expanding maps ⋮ Annealed and quenched limit theorems for random expanding dynamical systems

Cites Work

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• A spectral gap for transfer operators of piecewise expanding maps
• From rates of mixing to recurrence times via large deviations
• Estimates of the invariant densities of endomorphisms with indifferent fixed points
• Statistical properties of dynamical systems with some hyperbolicity
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Absolutely continuous invariant measures for multidimensional expanding maps
• Théorie ergodique pour des classes d'opérations non completement continues
• Zeta functions and transfer operators for multidimensional piecewise affine and expanding maps
• Inadequacy of the bounded variation technique in the ergodic theory of higher-dimensional transformations
• Large Deviations in Dynamical Systems and Stochastic Processes
• Large deviations for nonuniformly hyperbolic systems
• Generalized bounded variation and applications to piecewise monotonic transformations
• Absolutely continuous invariant probability measures for arbitrary expanding piecewise $\mathbb{R}$-analytic mappings of the plane
• Stochastic stability for piecewise expanding maps in ℝ^d
• Absolutely continuous invariant measures for piecewise expanding C² transformations in Rⁿ on domains with cusps on the boundaries
• Multidimensional expanding maps with singularities: a pedestrian approach
• Large deviations in non-uniformly hyperbolic dynamical systems
• Some Large Deviation Results for Dynamical Systems
• Absolutely continuous invariant measures for expanding piecewise linear maps

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