@article{3b5100f535d34e8fbf8148f0212925b5,
title = "Mather β-Function for Ellipses and Rigidity",
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.",
keywords = "Birkhoff billiard, action minimizers: rigidity, integrable billiards, invariant curve",
author = "Michael Bialy",
note = "Publisher Copyright: {\textcopyright} 2022 by the author.",
year = "2022",
month = nov,
doi = "10.3390/e24111600",
language = "אנגלית",
volume = "24",
journal = "Entropy",
issn = "1099-4300",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "11",
}