English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The goal of the first part of this note is to get an explicit formula forrotation number and Mather $\beta$-function for ellipse. This is done here withthe help of non-standard generating function of billiard problem. In this waythe derivation especially simple. In the second part we discuss application ofMather $\beta$-function to rigidity problem.

Mather $\beta$-function for ellipses and rigidity