On Ruelle's Lemma and Ruelle Zeta Functions

Details On Ruelle's Lemma and Ruelle Zeta Functions On Ruelle's Lemma and Ruelle Zeta Functions

2010-10-22

arxiv.org/abs/1010.4607v1

Mathematics

Dynamical Systems

This article represents the main result of the author's honours dissertation at the University of Western Australia, supervise

Scientific paper

In this article we prove an important inequality regarding the Ruelle operator in hyperbolic flows. This was already proven briefly by Mark Pollicott and Richard Sharp in a low dimensional case, but we present a clearer proof of the inequality, filling in gaps and explaining the ideas in more detail, and extend the inequality to higher dimensional flows. This inequality is necessary to prove a proposition about the analyticity of Ruelle zeta functions.

Affiliated with

Also associated with

No associations

Rating

On Ruelle's Lemma and Ruelle Zeta Functions 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 On Ruelle's Lemma and Ruelle Zeta Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Ruelle's Lemma and Ruelle Zeta Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-659102