Poincare recurrences and entropy of suspended flows

Authors
Chazottes, JR
Citation
Jr. Chazottes, Poincare recurrences and entropy of suspended flows, CR AC S I, 332(8), 2001, pp. 739-744
Citations number
7
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
332
Issue
8
Year of publication
2001
Pages
739 - 744
Database
ISI
SICI code
0764-4442(20010415)332:8<739:PRAEOS>2.0.ZU;2-D
Abstract
We prove a formula giving the metric entropy of an ergodic flow suspended o ver a weakly specified subshift with positive entropy by using recurrence-t ime properties of generic orbits. This is a partial generalization to suspe nded flows pf a formula by Ornstein and Weiss established for maps. (C) 200 1 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.