Sharp statistical properties for a family of multidimensional nonMarkovian nonconformal intermittent maps
From MaRDI portal
Publication:2042008
DOI10.1016/j.aim.2021.107853zbMath1476.37015arXiv1904.03184OpenAlexW3177376494MaRDI QIDQ2042008
Peyman Eslami, Ian Melbourne, Sandro Vaienti
Publication date: 26 July 2021
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.03184
Ergodicity, mixing, rates of mixing (37A25) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems involving maps of the interval (37E05)
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Differentiability of the diffusion coefficient for a family of intermittent maps ⋮ Inducing schemes for multi-dimensional piecewise expanding maps
Cites Work
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- Smooth approximation of stochastic differential equations
- Operator renewal theory and mixing rates for dynamical systems with infinite measure
- Moment bounds for dependent sequences in smooth Banach spaces
- Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
- Characterization of weak convergence of Birkhoff sums for Gibbs-Markov maps
- Almost sure invariance principle for nonuniformly hyperbolic systems
- Improved estimates for correlations in billiards
- Exponential decay of correlations in multi-dimensional dispersing billiards
- Estimates of the invariant densities of endomorphisms with indifferent fixed points
- Ergodic properties of invariant measures for piecewise monotonic transformations
- Recurrence times and rates of mixing
- Subexponential decay of correlations
- Central limit theorem and stable laws for intermittent maps
- Statistical properties of piecewise smooth hyperbolic systems in high dimensions
- Absolutely continuous invariant measures for piecewise real-analytic expanding maps on the plane
- On dynamics of mostly contracting diffeomorphisms
- Martingale-coboundary decomposition for families of dynamical systems
- Equidistribution for nonuniformly expanding dynamical systems, and application to the almost sure invariance principle
- Sharp polynomial estimates for the decay of correlations
- Absolutely continuous invariant measures for multidimensional expanding maps
- Convergence to a Lévy process in the Skorohod \(\mathcal{M}_1\) and \(\mathcal{M}_2\) topologies for nonuniformly hyperbolic systems, including billiards with cusps
- Sharp polynomial bounds on decay of correlations for multidimensional nonuniformly hyperbolic systems and billiards
- Superdiffusive limits for deterministic fast-slow dynamical systems
- Multiscale systems, homogenization, and rough paths
- Rate of convergence in the weak invariance principle for deterministic systems
- Weak convergence to stable Lévy processes for nonuniformly hyperbolic dynamical systems
- Strong invariance principles with rate for ``reverse martingale differences and applications
- Deterministic homogenization for fast-slow systems with chaotic noise
- Polynomial decay of correlations for flows, including Lorentz gas examples
- Limit laws and recurrence for the planar Lorentz process with infinite horizon
- Mixing limit theorems for ergodic transformations
- Moment bounds and concentration inequalities for slowly mixing dynamical systems
- Berry--Esseen theorem and local limit theorem for non uniformly expanding maps
- Stochastic-Process Limits
- Mixing rates and limit theorems for random intermittent maps
- Decay of correlation for random intermittent maps
- Convergence of moments for Axiom A and non-uniformly hyperbolic flows
- Averaging and rates of averaging for uniform families of deterministic fast-slow skew product systems
- Correlation asymptotics from large deviations in dynamical systems with infinite measure
- Rates in almost sure invariance principle for slowly mixing dynamical systems
- Absolutely continuous invariant measures for non-uniformly expanding maps
- Statistical properties of a skew product with a curve of neutral points
- Large deviations for nonuniformly hyperbolic systems
- Large and moderate deviations for slowly mixing dynamical systems
- Ergodic structure and invariant densities of non-Markovian interval maps with indifferent fixed points
- A probabilistic approach to intermittency
- LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS
- Billiards with polynomial decay of correlations
- Absolutely continuous invariant probability measures for arbitrary expanding piecewise $\mathbb{R}$-analytic mappings of the plane
- Stochastic stability for piecewise expanding maps in ℝd
- Decay of correlations for piecewise smooth maps with indifferent fixed points
- Absolutely continuous invariant measures for most piecewise smooth expanding maps
- Multidimensional expanding maps with singularities: a pedestrian approach
- Quenched decay of correlations for slowly mixing systems
- Sur un Theoreme Spectral et son Application aux Noyaux Lipchitziens
- Billiards with polynomial mixing rates
- Homogenization for deterministic maps and multiplicative noise
