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Anisotropic spaces and nilmanifold automorphisms

Authors :
Butterley, Oliver
Kim, Minsung
Publication Year :
2023

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 />Comment: Comments welcome

Subjects

Subjects :
Mathematics - Dynamical Systems

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2308.06630
Document Type :
Working Paper