Zeta-functions for expanding maps and Anosov flows

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/MP_75_106/MP_75_106.pdf

Ruelle, David

RUELLE

05/1975

Abstract : Given a real-analytic expanding endomorphism of a compact manifold M, a meromorphic zeta function is defined on the complex-valued real-analytic functions on M. A zeta function for Anosov flows is shown to be meromorphic if the flow and its stable-unstable foliations are real-analytic.

FONCTIONS ZETA

MP/75/106

©IHES

Citer ce document

RUELLE, “Zeta-functions for expanding maps and Anosov flows,” Archives de l'IHES, consulté le 13 juin 2024, https://omeka.ihes.fr/document/MP_75_106.pdf.