Ruelle zeta function at zero for surfaces

By Semyon Dyatlov, Maciej Zworski. 2016

62 citations recorded by the source corpus.

We show that the Ruelle zeta function for a negatively curved oriented surface vanishes at zero to the order given by the absolute value of the Euler characteristic. This result was previously known only in constant curvature.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3a6e255fcc4ac921207f0d9db3c8a779a8db13c1