Pollicott–Ruelle Resonances for Open Systems
Name
1410.5516.pdf
Description
Accepted version
Size
1.33 MB
Format
Adobe PDF
Checksum (MD5)
267c9064704da0109262a8e8f1ac6a2b
Author(s)
Dyatlov, Semyon
Guillarmou, Colin
Date Issued
2016
Journal
Annales Henri Poincare
Publisher
Springer Nature
Citation
Dyatlov, S., and C. Guillarmou. "Pollicott�Ruelle Resonances for Open Systems." Annales Henri Poincare (2016): 1-58.
Version
Author's final manuscript
Abstract
© 2016, Springer International Publishing. We define Pollicott–Ruelle resonances for geodesic flows on noncompact asymptotically hyperbolic negatively curved manifolds, as well as for more general open hyperbolic systems related to Axiom A flows. These resonances are the poles of the meromorphic continuation of the resolvent of the generator of the flow and they describe decay of classical correlations. As an application, we show that the Ruelle zeta function extends meromorphically to the entire complex plane.
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/S00023-016-0491-8
