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Polyhedral Billiards, Eigenfunction Concentration and Almost Periodic Control

We study dynamical properties of the billiard flow on convex polyhedra away from a neighbourhood of the non-smooth part of the boundary, called “pockets”. We prove there are only finitely many immersed periodic tubes missing the pockets and moreover establish a new quantitative estimate for the leng...

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Detalles Bibliográficos
Autores principales: Cekić, Mihajlo, Georgiev, Bogdan, Mukherjee, Mayukh
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7347711/
https://www.ncbi.nlm.nih.gov/pubmed/32684638
http://dx.doi.org/10.1007/s00220-020-03741-0