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Article Dans Une Revue Journal of Statistical Physics Année : 2017

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

Dates et versions

hal-01342348 , version 1 (05-07-2016)

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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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