Spectra of Ruelle Transfer Operators for Contact Flows

Stoyanov, Luchezar. "Spectra of Ruelle Transfer Operators for Contact Flows." Serdica Mathematical Journal 34.1 (2008): 219-252. <http://eudml.org/doc/281491>.

@article{Stoyanov2008,
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.},
author = {Stoyanov, Luchezar},
journal = {Serdica Mathematical Journal},
keywords = {Axiom A Flow; Basic Set; Ruelle Transfer Operator; Contact Flow; Gibbs Measure; Ruelle transfer operator; Contact hyperbolic flows; Basic sets},
language = {eng},
number = {1},
pages = {219-252},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Spectra of Ruelle Transfer Operators for Contact Flows},
url = {http://eudml.org/doc/281491},
volume = {34},
year = {2008},
}

TY - JOUR
AU - Stoyanov, Luchezar
TI - Spectra of Ruelle Transfer Operators for Contact Flows
JO - Serdica Mathematical Journal
PY - 2008
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 34
IS - 1
SP - 219
EP - 252
AB - 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.
LA - eng
KW - Axiom A Flow; Basic Set; Ruelle Transfer Operator; Contact Flow; Gibbs Measure; Ruelle transfer operator; Contact hyperbolic flows; Basic sets
UR - http://eudml.org/doc/281491
ER -