Exponential decay of correlations for surface semi-flows without finite Markov partitions

By Viviane Baladi, B. Vallée. 2003

79 citations recorded by the source corpus.

We extend Dolgopyat\'s bounds on iterated transfer operators to suspensions of interval maps with infinitely many intervals of monotonicity.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Exponential mixing for the Teichmüller flow (2005, methodology): “This paper has two main parts: rst we obtain exponential recurrence estimates, and then, using ideas rst introduced by Dolgopyat [Do] and developed in [ BV ], we obtain exponential mixing.”
Chapter 2 – Smooth Ergodic Theory and Nonuniformly Hyperbolic Dynamics (2006, methodology): “We end this section by mentioning the works of Pollicott [206] and Baladi & Vallée [19] for versions of Dolgopyat’s estimate for semi-flows over piecewise expanding maps of the interval, Dolgopyat’s study of exponential and rapid mixing for generic hyperbolic flows [73, 75], the paper by Stoyanov [2”
Decay of correlations in suspension semi-flows of angle-multiplying maps (2005, background): “(See also Baladi and Vall’ee [5] for a generalization.”