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arXiv:2204.01511 [math.DS]AbstractReferencesReviewsResources

Explicit examples of resonances for Anosov maps of the torus

Mark Pollicott, Benedict Sewell

Published 2022-04-04Version 1

In [23], Slipantschuk, Bandtlow and Just gave concrete examples of Anosov diffeomorphisms of the two-torus for which their resonances could be completely described. Their approach was based on composition operators acting on analytic anisotropic Hilbert spaces, and in this note we present a construction of alternative anisotropic Hilbert spaces which helps to simplify parts of their analysis and gives scope for constructing further examples.

Comments: 23 pages, 4 figures
Categories: math.DS, math.SP
Subjects: 37A30, 37C05, 37D20, 37A25
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