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Singularity of the Spectrum for Smooth Area-Preserving Flows in Genus Two and Translation Surfaces Well Approximated by Cylinders

We consider smooth flows preserving a smooth invariant measure, or, equivalently, locally Hamiltonian flows on compact orientable surfaces and show that, when the genus of the surface is two, almost every such locally Hamiltonian flow with two non-degenerate isomorphic saddles has singular spectrum....

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Detalles Bibliográficos
Autores principales: Chaika, Jon, Frączek, Krzysztof, Kanigowski, Adam, Ulcigrai, Corinna
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7897234/
https://www.ncbi.nlm.nih.gov/pubmed/33678809
http://dx.doi.org/10.1007/s00220-020-03895-x