Mather β-Function for Ellipses and Rigidity

Michael Bialy

doi:10.3390/e24111600

Mather β-Function for Ellipses and Rigidity

Michael Bialy

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

The goal of the first part of this note is to get an explicit formula for rotation number and Mather (Formula presented.) -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 we discuss application of Mather (Formula presented.) -function to rigidity problem.

Original language	English
Article number	1600
Journal	Entropy
Volume	24
Issue number	11
DOIs	https://doi.org/10.3390/e24111600
State	Published - Nov 2022

Keywords

Birkhoff billiard
action minimizers: rigidity, integrable billiards
invariant curve

All Science Journal Classification (ASJC) codes

Information Systems
Mathematical Physics
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Electrical and Electronic Engineering

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10.3390/e24111600

Cite this

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note = "Publisher Copyright: {\textcopyright} 2022 by the author.",

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KW - action minimizers: rigidity, integrable billiards

KW - invariant curve

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Mather β-Function for Ellipses and Rigidity

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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