scholarly journals On mixing properties of compact group extensions of hyperbolic systems

2002 ◽  
Vol 130 (1) ◽  
pp. 157-205 ◽  
Author(s):  
Dmitry Dolgopyat
Keyword(s):  
Compact Group ◽  
Hyperbolic Systems ◽  
Mixing Properties ◽  
Group Extensions

The structure of ergodic measures for compact group extensions

1974 ◽  
Vol 18 (4) ◽  
pp. 363-389 ◽  
Author(s):  
H. B. Keynes’ ◽  
D. Newton
Keyword(s):  
Compact Group ◽  
Group Extensions ◽  
Ergodic Measures

Prevalence of rapid mixing—II: topological prevalence

2000 ◽  
Vol 20 (4) ◽  
pp. 1045-1059 ◽  
Author(s):  
DMITRY DOLGOPYAT
Keyword(s):  
Finite Type ◽  
Hyperbolic Systems ◽  
Steklov Inst ◽  
Suspension Flow ◽  
Mixing Properties ◽  
Quantitative Version ◽  
Rapid Mixing ◽  
Hyperbolic Flows ◽  
Subshifts Of Finite Type

We continue the study of mixing properties of generic hyperbolic flows started in an earlier paper (D. Dolgopyat. Prevalence of rapid mixing in hyperbolic flows. Erg. Th.& Dyn. Sys.18 (1998), 1097–1114). Our main result is that generic suspension flow over subshifts of finite type is exponentially mixing. This is a quantitative version of an earlier result of Parry and Pollicott (W. Parry and M. Pollicott. Stability of mixing for toral extensions of hyperbolic systems. Proc. Steklov Inst.216 (1997), 354–363).

Stable transitivity of Heisenberg group extensions of hyperbolic systems

Nonlinearity ◽  
2014 ◽  
Vol 27 (4) ◽  
pp. 661-683 ◽  
Author(s):  
Viorel Niţică ◽  
Andrei Török
Keyword(s):  
Heisenberg Group ◽  
Hyperbolic Systems ◽  
Group Extensions
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