A footnote on Expanding maps

2012/07/17 by Carlangelo Liverani, Liverani, Carlangelo
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #math.DS

paper · pdf · doi:10.48550/arxiv.1207.3982

Added details and extended results

openalex publication_date 2012/07/17 · arxiv created 2012/10/16 · arxiv updated 2012/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Hölder weight.

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• Regularity of the spectrum for expanding maps
• Discontinuous observables as an obstruction for small essential spectral radius
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• Eventually Expanding Maps