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Hausdorff Dimension and Pressure for Piecewise Monotonic Maps of the Interval

โœ Scribed by Hofbauer, F.


Book ID
120094895
Publisher
Oxford University Press
Year
1993
Tongue
English
Weight
388 KB
Volume
s2-47
Category
Article
ISSN
0024-6107

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๐Ÿ“œ SIMILAR VOLUMES


Dynamical zeta functions for piecewise m
โœ David Ruelle ๐Ÿ“‚ Library ๐Ÿ“… 1994 ๐Ÿ› American Mathematical Society ๐ŸŒ English โš– 570 KB

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 unexpec