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Mather β-Function for Ellipses and Rigidity

The goal of the first part of this note is to get an explicit formula for rotation number and Mather [Formula: see text]-function for ellipse. This is done here with the help of non-standard generating function of billiard problem. In this way the derivation is especially simple. In the second part...

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Detalles Bibliográficos
Autor principal: Bialy, Michael
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9689066/
https://www.ncbi.nlm.nih.gov/pubmed/36359689
http://dx.doi.org/10.3390/e24111600