Some variational formulas for Hausdorff dimension, topological entropy, and SRB entropy for hyperbolic dynamical systems

Howard Weiss

doi:10.1007/BF01050439

Some variational formulas for Hausdorff dimension, topological entropy, and SRB entropy for hyperbolic dynamical systems

Howard Weiss

Biology

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We derive several variational formulas for the topological entropy and SRB entropy of Axiom A flows on compact manifolds and for the Hausdorff dimension of basic sets for Axiom A diffeomorphisms on compact surfaces.

Original language	English (US)
Pages (from-to)	879-886
Number of pages	8
Journal	Journal of Statistical Physics
Volume	69
Issue number	3-4
DOIs	https://doi.org/10.1007/BF01050439
State	Published - Nov 1992

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/BF01050439

Cite this

@article{c36d909b87824be79a4da7267fbc29c7,

title = "Some variational formulas for Hausdorff dimension, topological entropy, and SRB entropy for hyperbolic dynamical systems",

abstract = "We derive several variational formulas for the topological entropy and SRB entropy of Axiom A flows on compact manifolds and for the Hausdorff dimension of basic sets for Axiom A diffeomorphisms on compact surfaces.",

author = "Howard Weiss",

year = "1992",

month = nov,

doi = "10.1007/BF01050439",

language = "English (US)",

volume = "69",

pages = "879--886",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer",

number = "3-4",

}

TY - JOUR

T1 - Some variational formulas for Hausdorff dimension, topological entropy, and SRB entropy for hyperbolic dynamical systems

AU - Weiss, Howard

PY - 1992/11

Y1 - 1992/11

N2 - We derive several variational formulas for the topological entropy and SRB entropy of Axiom A flows on compact manifolds and for the Hausdorff dimension of basic sets for Axiom A diffeomorphisms on compact surfaces.

AB - We derive several variational formulas for the topological entropy and SRB entropy of Axiom A flows on compact manifolds and for the Hausdorff dimension of basic sets for Axiom A diffeomorphisms on compact surfaces.

UR - https://www.scopus.com/pages/publications/21144462953

UR - https://www.scopus.com/pages/publications/21144462953#tab=citedBy

U2 - 10.1007/BF01050439

DO - 10.1007/BF01050439

M3 - Article

AN - SCOPUS:21144462953

SN - 0022-4715

VL - 69

SP - 879

EP - 886

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3-4

ER -

Some variational formulas for Hausdorff dimension, topological entropy, and SRB entropy for hyperbolic dynamical systems

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this