Spectra of Ruelle transfer operators for Axiom A flows (Revised)

Details Spectra of Ruelle transfer operators for Axiom A flows (Revised) Spectra of Ruelle transfer operators for Axiom A flows (Revised)

2008-10-07

arxiv.org/abs/0810.1126v4

Mathematics

Dynamical Systems

30 pages

Scientific paper

For Axiom A flows on basic sets satisfying certain additional conditions we prove strong spectral estimates for Ruelle transfer operators similar to these of Dolgopyat (1998) for geodesic flows on compact surfaces (for general potentials)and transitive Anosov flows on compact manifolds with C^1 jointly non-integrable horocycle foliations (for the Sinai-Bowen-Ruelle potential). Here we deal with general potentials. As is now well known, such results have deep implications in some related areas, e.g. in studying analytic properties of Ruelle zeta functions and partial differential operators, closed orbit counting functions, decay of correlations for H\"older continuous potentials.

Affiliated with

Also associated with

No associations

Rating

Spectra of Ruelle transfer operators for Axiom A flows (Revised) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spectra of Ruelle transfer operators for Axiom A flows (Revised), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectra of Ruelle transfer operators for Axiom A flows (Revised) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-556899