Ruelle zeta function at zero for surfaces
Name
1606.04560.pdf
Description
Accepted version
Size
241.97 KB
Format
Adobe PDF
Checksum (MD5)
69eb3967c9d964ccdbe73fa2203a6fd1
Author(s)
Dyatlov, Semyon
Zworski, Maciej
Date Issued
2017
Journal
Inventiones Mathematicae
Publisher
Springer Nature
Citation
Dyatlov, S., and M. Zworski. "Ruelle Zeta Function at Zero for Surfaces." Inventiones Mathematicae (2017): 1-19.
Version
Author's final manuscript
Abstract
© 2017, Springer-Verlag Berlin Heidelberg. 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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/S00222-017-0727-3
