Prevalence of rapid mixing - II: topological prevalence

Authors
Dolgopyat, D
Citation
D. Dolgopyat, Prevalence of rapid mixing - II: topological prevalence, ERGOD TH DY, 20, 2000, pp. 1045-1059
Citations number
9
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
20
Year of publication
2000
Part
4
Pages
1045 - 1059
Database
ISI
SICI code
0143-3857(200008)20:<1045:PORM-I>2.0.ZU;2-9
Abstract
We continue the study of mixing properties of generic hyperbolic flows star ted in an earlier paper (D. Dolgopyat. Prevalence of rapid mixing in hyperb olic flows. Erg. Th.& Dyn. Sys. 18 (1998), 1097-1114). Our main result is t hat generic suspension flow over subshifts of finite type is exponentially mixing. This is a quantitative version of an earlier result of Parry and Po llicott (W. Parry and M. Pollicott. Stability of mixing for toral extension s of hyperbolic systems.