Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations

Given any smooth Anosov map we construct a Banach space on which the associated transfer operator is quasi-compact. The peculiarity of such a space is that in the case of expanding maps it reduces exactly to the usual space of functions of bounded variation which has proven particularly successful i...

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Bibliographic Details

Main Authors:	Wael Bahsoun, Carlangelo Liverani
Format:	Default Article
Published:	2021
Subjects:	Theory of computation not elsewhere classified anisotropic Banach spaces Anosov diffeomorphsims foliation regularity transfer operators Computation Theory and Mathematics
Online Access:	https://hdl.handle.net/2134/14354549.v1
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