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Explicit examples of resonances for Anosov maps of the torus
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Pollicott, Mark and Sewell, Benedict (2023) Explicit examples of resonances for Anosov maps of the torus. Nonlinearity, 36 (1). pp. 110-132. doi:10.1088/1361-6544/ac9a2e ISSN 0951-7715.
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Official URL: https://doi.org/10.1088/1361-6544/ac9a2e
Abstract
In (2017 Nonlinearity 30 2667–86) Slipantschuk, Bandtlow and Just gave concrete examples of Anosov diffeomorphisms of T2 for which their resonances could be completely described. Their approach was based on composition operators acting on analytic anisotropic Hilbert spaces. 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.
Item Type: | Journal Article | ||||||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
SWORD Depositor: | Library Publications Router | ||||||||||||
Library of Congress Subject Headings (LCSH): | Anosov diffeomorphisms, Resonance, Hilbert spaces, Blaschke products | ||||||||||||
Journal or Publication Title: | Nonlinearity | ||||||||||||
Publisher: | Institute of Physics Publishing Ltd. | ||||||||||||
ISSN: | 0951-7715 | ||||||||||||
Official Date: | 2023 | ||||||||||||
Dates: |
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Volume: | 36 | ||||||||||||
Number: | 1 | ||||||||||||
Page Range: | pp. 110-132 | ||||||||||||
DOI: | 10.1088/1361-6544/ac9a2e | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||
Date of first compliant deposit: | 4 January 2023 | ||||||||||||
Date of first compliant Open Access: | 5 January 2023 | ||||||||||||
RIOXX Funder/Project Grant: |
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