The quest for the ultimate anisotropic Banach space
Résumé
We present a new scale $U^{t,s}_p$ (with $s<-t<0$ and $1 \le p <\infty$) of anisotropic Banach spaces, defined via Paley-Littlewood, on which the transfer operator associated to a hyperbolic dynamical system has good spectral properties. When $p=1$ and $t$ is an integer, the spaces are analogous to the "geometric" spaces considered by Gou\"ezel and Liverani. When $p>1$ and $-1+1/p
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Soumis le : mardi 5 juillet 2016-18:30:30
Dernière modification le : vendredi 3 mai 2024-10:57:31
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Identifiants
- HAL Id : hal-01342348 , version 1
- ARXIV : 1607.00654
- DOI : 10.1007/s10955-016-1663-0
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Viviane Baladi. The quest for the ultimate anisotropic Banach space. Journal of Statistical Physics, 2017, Special Issue: Dedicated to David Ruelle & Yakov Sinai, 166 (3-4), pp.525-557. ⟨10.1007/s10955-016-1663-0⟩. ⟨hal-01342348⟩
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