REVIEW 1 cited by
Resonances for rational Anosov maps on the torus
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
A complete description of resonances for rational toral Anosov diffeomorphisms preserving certain Reinhardt domains is presented. As a consequence it is shown that every homotopy class of two-dimensional Anosov diffeomorphisms contains maps with the sequence of resonances decaying stretched-exponentially. This is achieved by introducing a certain group of rational toral diffeomorphisms and computing the resonances of the respective composition operator considered on suitable anisotropic spaces of hyperfunctions. The class of examples is sufficiently rich to also include non-linear Anosov maps with trivial resonances, or resonances decaying exponentially, as well as with or without area-preservation or reversing symmetries.
Forward citations
Cited by 1 Pith paper
-
A pseudospectral approach to rigorous numerical estimation of resonances of transfer operators
A pseudospectral, computer-assisted framework yields certified enclosures and exclosures of Ruelle-Pollicott resonances for analytic expanding circle maps, demonstrated on a Blaschke benchmark and a perturbed doubling map.
Discussion (0). Continue with ORCID to comment.