Anisotropic spaces and nilmanifold automorphisms

FOS: Mathematics Dynamical Systems (math.DS) Mathematics - Dynamical Systems
DOI: 10.48550/arxiv.2308.06630 Publication Date: 2023-01-01
ABSTRACT
We introduce anisotropic Banach spaces on Heisenberg nilmanifolds and study the resonance spectrum associated to partially hyperbolic automorphisms. In this work we describe an alternative proof of the spectrum which takes advantage of geometric-style anisotropic norms.<br/>Comments welcome<br/>
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