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arXiv · 1010.4607

On Ruelle's Lemma and Ruelle Zeta Functions

Paul Wright
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Abstract

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.

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Paul Wright. 2010-10-22. On Ruelle's Lemma and Ruelle Zeta Functions. https://arxiv.org/abs/1010.4607

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