Vector-valued almost sure invariance principles for (non)stationary and random dynamical systems

DOI10.1090/tran/8609zbMath1505.37064OpenAlexW4200012122MaRDI QIDQ5082376

Yaofeng Su

Publication date: 16 June 2022

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/8609

zbMATH Keywords

random dynamical systemsspectral gapYoung towersalmost sure invariance principlesnonstationary dynamical systems

Mathematics Subject Classification ID

Generation, random and stochastic difference and differential equations (37H10) Functional limit theorems; invariance principles (60F17) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Random iteration (37H12)

Related Items (3)

Random Young towers and quenched limit laws ⋮ A vector-valued almost sure invariance principle for random expanding on average cocycles ⋮ Large deviations, moment estimates and almost sure invariance principles for skew products with mixing base maps and expanding-on-average fibers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Polynomial loss of memory for maps of the interval with a neutral fixed point
• Almost sure invariance principle for nonuniformly hyperbolic systems
• Memory loss for time-dependent dynamical systems
• Almost sure invariance principle for dynamical systems by spectral methods
• A vector-valued almost sure invariance principle for hyperbolic dynamical systems
• Almost sure invariance principles for partial sums of mixing B-valued random variables
• Approximation theorems for independent and weakly dependent random vectors
• Recurrence times and rates of mixing
• Central limit theorem and stable laws for intermittent maps
• A spectral approach for quenched limit theorems for random expanding dynamical systems
• Rates in almost sure invariance principle for dynamical systems with some hyperbolicity
• Almost surely invariance principle for non-stationary and random intermittent dynamical systems
• Quenched normal approximation for random sequences of transformations
• Statistical properties and decay of correlations for interval maps with critical points and singularities
• Rates in almost sure invariance principle for slowly mixing dynamical systems
• Bounded variation and invariant measures
• A probabilistic approach to intermittency
• Almost sure invariance principle for random piecewise expanding maps
• Central limit theorems for sequential and random intermittent dynamical systems
• Rates in almost sure invariance principle for quickly mixing dynamical systems
• Large deviations and central limit theorems for sequential and random systems of intermittent maps
• Central limit theorems with a rate of convergence for time-dependent intermittent maps
• Moment Inequalities for the Maximum Cumulative Sum
• Almost sure invariance principle for sequential and non-stationary dynamical systems
• Contributions to Central Limit Theory for Dependent Variables

This page was built for publication: Vector-valued almost sure invariance principles for (non)stationary and random dynamical systems