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Transfer operators, atomic decomposition and the Bestiary

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arxiv 1903.06976 v2 pith:LQYBCJNM submitted 2019-03-16 math.DS math.APmath.CAmath.FA

Daniel Smania This is my paper · ORCID
classification math.DSmath.APmath.CAmath.FA
keywords transferatomicdecompositionoperatorsspacesactingappliedarbieto
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Arbieto and S. recently used atomic decomposition to study transfer operators. We give a long list of old and new expanding dynamical systems for which those results can be applied, obtaining the quasi-compactness of transfer operator acting on Besov spaces of measure spaces with a good grid.

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  1. Discontinuous observables as an obstruction for small essential spectral radius

    math.DS 2025-06 conditional novelty 6.0 of 10

    Transfer operators of piecewise expanding maps have essential spectral radius at least 1/k or 1/Θ∞(1−s) whenever the Banach space contains interval indicators with natural norm bounds.

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