Smooth ergodic theory of \(\mathbb{Z}^d \)-actions
DOI10.3934/jmd.2023014zbMath1526.37030arXiv1610.09997OpenAlexW2542901359MaRDI QIDQ6176580
Zhiren Wang, Federico Rodriguez Hertz, Aaron W. Brown
Publication date: 25 July 2023
Published in: Journal of Modern Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.09997
Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)
Cites Work
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- Entropy, volume growth and SRB measures for Banach space mappings
- Measure and cocycle rigidity for certain nonuniformly hyperbolic actions of higher-rank Abelian groups
- Zimmer's conjecture for actions of \(\mathrm{SL}(m,\mathbb{Z})\)
- Rigidity of measures -- the high entropy case and non-commuting foliations
- Measure rigidity beyond uniform hyperbolicity: invariant measures for Cartan actions on tori
- The asymptotic shape theorem for generalized first passage percolation
- Invariant measures satisfying an equality relating entropy, folding entropy and negative Lyapunov exponents
- The metric entropy of endomorphisms
- Ergodic theorems. With a supplement by Antoine Brunel
- The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
- Entropy formula for random transformations
- Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
- Characterization of measures satisfying the Pesin entropy formula for random dynamical systems
- Dimension and product structure of hyperbolic measures
- Invariant measures for actions of unipotent groups over local fields on homogeneous spaces
- Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Ruelle's inequality in negative curvature
- Counterexamples to Ruelle's inequality in the noncompact case
- First passage percolation: the stationary case
- Smooth ergodic theory of random dynamical systems
- Zimmer's conjecture: subexponential growth, measure rigidity, and strong property (T)
- Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds
- Propriétés ergodiques des mesures de Sinaï
- Joinings of higher-rank diagonalizable actions on locally homogeneous spaces
- The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
- Some new functional spaces
- Some ergodic properties of commuting diffeomorphisms
- The ergodic theorem for additive cocycles of ℤd or ℝd
- A proof of the estimation from below in Pesin's entropy formula
- An inequality for the entropy of differentiable maps
- A proof of Pesin's formula
- A Relativised Variational Principle for Continuous Transformations
- Invariant measures on G/Γ for split simple Lie groups G
- Entropy formula for random dynamical systems: relations between entropy, exponents and dimension
- Smoothness of stable holonomies inside center-stable manifolds
- LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS
- Invariant manifolds
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