Zeta functions and dynamical systems

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Published 15 September 2006 2006 IOP Publishing Ltd and London Mathematical Society
, , Citation Carlangelo Liverani and Masato Tsujii 2006 Nonlinearity 19 2467 DOI 10.1088/0951-7715/19/10/011

0951-7715/19/10/2467

Abstract

In this brief paper we present a very simple strategy to investigate dynamical determinants for uniformly hyperbolic systems. The construction builds on the recent introduction of suitable functional spaces which allow us to transform simple heuristic arguments into rigorous ones. Although the results so obtained are not exactly optimal, the straightforwardness of the argument makes them noticeable.

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10.1088/0951-7715/19/10/011