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arXiv 2006-06-19 DOI 10.1088/0951-7715/19/10/011 0 views

Zeta functions and Dynamical Systems

Liverani, Carlangelo · Tsujii, Masato

Original · EN

In this brief note 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 to transform simple heuristic arguments in rigorous ones. Although the results so obtained are not exactly optimal the straightforwardness of the argument makes it noticeable.

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