Decay of correlations for piecewise invertible maps in higher dimensions
From MaRDI portal
Publication:1852721
DOI10.1007/BF02785858zbMath1014.37017OpenAlexW2165027697MaRDI QIDQ1852721
Jérôme Buzzi, Véronique Maume-Deschamps
Publication date: 5 July 2003
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02785858
Related Items
The shrinking target problem for matrix transformations of tori: revisiting the standard problem ⋮ Equilibrium states for non-uniformly expanding maps: decay of correlations and strong stability ⋮ Statistical properties of the maximal entropy measure for partially hyperbolic attractors ⋮ Thermodynamical formalism for robust classes of potentials and non-uniformly hyperbolic maps ⋮ Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps ⋮ Good Banach spaces for piecewise hyperbolic maps via interpolation ⋮ EXPONENTIAL INEQUALITIES AND FUNCTIONAL ESTIMATIONS FOR WEAK DEPENDENT DATA: APPLICATIONS TO DYNAMICAL SYSTEMS ⋮ Markov structures and decay of correlations for non-uniformly expanding dynamical systems
Cites Work
- Unnamed Item
- Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
- Piecewise invertible dynamical systems
- Ergodic properties of invariant measures for piecewise monotonic transformations
- Ergodic theory on compact spaces
- Statistical properties of dynamical systems with some hyperbolicity
- Recurrence times and rates of mixing
- Intrinsic ergodicity of affine maps in \([0,1^ d\)]
- Convergence speed to equilibrium state for Markovian non-Hölderian dynamics
- Absolutely continuous invariant measures for piecewise real-analytic expanding maps on the plane
- Decay of correlations on towers with non-Hölder Jacobian and non-exponential return time
- Absolutely continuous invariant measures for multidimensional expanding maps
- Zeta functions and transfer operators for multidimensional piecewise affine and expanding maps
- Conformal measures for multidimensional piecewise invertible maps
- Generalized bounded variation and applications to piecewise monotonic transformations
- Bounded variation and invariant measures
- On the Existence of Invariant Measures for Piecewise Monotonic Transformations
- Markov Extensions, Zeta Functions, and Fredholm Theory for Piecewise Invertible Dynamical Systems
- Conformal measure and decay of correlation for covering weighted systems
- Properties of invariant measures for piecewise expanding one-dimensional transformations with summable oscillations of derivative
- Absolutely continuous invariant probability measures for arbitrary expanding piecewise $\mathbb{R}$-analytic mappings of the plane
- Stochastic stability for piecewise expanding maps in ℝd
- ABSOLUTELY CONTINUOUS INVARIANT MEASURES FOR GENERIC MULTI-DIMENSIONAL PIECEWISE AFFINE EXPANDING MAPS
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Absolutely continuous invariant measures for expanding piecewise linear maps
- No or infinitely many a. c. i. p. for piecewise expanding \(C^r\) maps in higher dimensions
