Dimension theory for invariant measures of endomorphisms
From MaRDI portal
Publication:985707
DOI10.1007/S00220-010-1059-YzbMath1217.37021OpenAlexW2042727187MaRDI QIDQ985707
Publication date: 6 August 2010
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-010-1059-y
invariant measureshyperbolic measuresLyapunov dimension of measurerandom endomorphismsRiemannian manifolds without boundary
Invariant manifold theory for dynamical systems (37D10) Dimension theory of smooth dynamical systems (37C45)
Related Items (5)
A dimension associated with a cutting of the square of a Gibbs measure ⋮ Dimension of invariant measures for affine iterated function systems ⋮ A dichotomy for the dimension of SRB measure ⋮ A new entropy formula of Ledrappier–Young type for linear toral dynamics ⋮ The metric entropy of endomorphisms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Smooth ergodic theory for endomorphisms
- Entropy formula for endomorphisms: relations between entropy, exponents and dimension
- Invariant measures satisfying an equality relating entropy, folding entropy and negative Lyapunov exponents
- The metric entropy of endomorphisms
- The Lyapunov dimension of strange attractors
- The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
- Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
- Dimension formula for random transformations
- Positivity of entropy production in nonequilibrium statistical mechanics
- Entropy formula of Pesin type for noninvertible random dynamical systems
- Dimension and product structure of hyperbolic measures
- On the spectra of randomly perturbed expanding maps
- Ruelle inequality relating entropy, folding entropy and negative Lyapunov exponents
- A note on the relationship of pointwise dimension of an invariant measure and its natural extension
- SRB measures and Pesin’s entropy formula for endomorphisms
- Dimension, entropy and Lyapunov exponents
- Dimension of invariant measures for maps with exponent zero
- A proof of Pesin's formula
- Dimension and invertibility of hyperbolic endomorphisms with singularities
- A dimension formula for endomorphisms—the Belykh family
- Ergodic theory for axiom A endomorphisms
- Ergodic theory of chaos and strange attractors
- Dimension of hyperbolic measures of random diffeomorphisms
This page was built for publication: Dimension theory for invariant measures of endomorphisms