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Dynamical zeta functions for piecewise monotone maps of the interval
Consider a space M, a map f:M\to M, and a function g:M \to {\mathbb C}. The formal power series \zeta (z) = \exp \sum ^\infty _{m=1} \frac {z^m}{m} \sum _{x \in \mathrm {Fix}\,f^m} \prod ^{m-1}_{k=0} g (f^kx) yields an example of a dynamical zeta function. Such functions have unexpected analytic pro...
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| Lenguaje: | eng |
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American Mathematical Society
2004
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| Acceso en línea: | http://cds.cern.ch/record/2279783 |