Spectra of Ruelle Transfer Operators for Contact Flows

Authors: Stoyanov, Luchezar
Issue Date: 2008
Citation: Serdica Mathematical Journal, Vol. 34, No 1, (2008), 219p-252p Copy to clipboard
ISSN: 1310-6600
URI: http://hdl.handle.net/10525/2588 Copy to clipboard
Abstract: In this survey article we discuss some recent results concerning strong spectral estimates for Ruelle transfer operators for contact flows on basic sets similar to these of Dolgopyat obtained in the case of Anosov flows with C1 stable and unstable foliations. Some applications of Dolgopyat's results and the more recent ones are also described.
Language: en
Publisher: Institute of Mathematics and Informatics, Bulgarian Academy of SciencesSubject: Axiom A FlowBasic SetRuelle Transfer OperatorContact FlowGibbs Measure
Type: Article