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.
Liverani, C., Tsujii, M. (2006). Zeta functions and Dynamical Systems. NONLINEARITY, 19, 2467-2473 [10.1088/0951-7715/19/10/011].
Zeta functions and Dynamical Systems
LIVERANI, CARLANGELO;
2006-01-01
Abstract
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.File in questo prodotto:
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