A footnote on Expanding maps
Carlangelo Liverani

TL;DR
This paper introduces Banach spaces tailored for analyzing the spectrum of transfer operators linked to piecewise expanding maps with Hölder weights, enabling precise spectral characterization.
Contribution
It presents a novel Banach space framework that allows exact spectral analysis of transfer operators for certain expanding maps.
Findings
Spectral properties of transfer operators are precisely characterized.
The framework applies to maps with Hölder continuous weights.
Enhanced understanding of dynamical systems' spectral behavior.
Abstract
I introduce Banach spaces on which it is possible to precisely characterize the spectrum of the transfer operator associated to a piecewise expanding map with H\"older weight.
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Taxonomy
TopicsMathematical Dynamics and Fractals
