Smooth Livšic regularity for piecewise expanding maps

DOI10.1090/S0002-9939-2011-10949-3zbMath1263.37060arXiv1007.4190OpenAlexW2133280816MaRDI QIDQ2880650

Tomas Persson, Matthew Nicol

Publication date: 13 April 2012

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

Full work available at URL: https://arxiv.org/abs/1007.4190

zbMATH Keywords

cohomological equation\(\beta\)-transformationGibbs-Markov map

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving maps of the interval (37E05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (1)

A vector-valued almost sure invariance principle for Sinai billiards with random scatterers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ergodicity and weak-mixing of homogeneous extensions of measure-preserving transformations with applications to Markov shifts
• Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation
• Ergodic properties of invariant measures for piecewise monotonic transformations
• Decay of correlations for piecewise expanding maps.
• Livsic theorems for connected Lie groups
• Livšic's theorem for semisimple Lie groups
• Equilibrium states for piecewise monotonic transformations
• Regularity of solutions to the measurable Livsic equation
• Measurable Cocycle Rigidity for Some Non-Compact Groups
• The Livsic Cocycle Equation for Compact Lie Group Extensions of Hyperbolic Systems
• LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS
• Livšic theorems and stable ergodicity for group extensions of hyperbolic systems with discontinuities
• Livšic Regularity Theorems for Twisted Cocycle Equations Over Hyperbolic Systems
• Smooth cocycle rigidity for expanding maps, and an application to Mostow rigidity
• Livsic theorems for hyperbolic flows
• The flat-trace asymptotics of a uniform system of contractions
• APERIODICITY OF COCYCLES AND CONDITIONAL LOCAL LIMIT THEOREMS
• Regularity of coboundaries for nonuniformly expanding Markov maps
• Livšic regularity for Markov systems

This page was built for publication: Smooth Livšic regularity for piecewise expanding maps