Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants

Författare

  • Vesa Julin University of Jyväskylä, Department of Mathematics and Statistics
  • Giorgio Saracco Scuola Internazionale Superiore di Studi Avanzati (SISSA)

Nyckelord:

Cheeger sets, Cheeger constant, quantitative inequalities

Abstract

We provide a quantitative lower bound to the Cheeger constant of a set \(\Omega\) in both the Euclidean and the Gaussian settings in terms of suitable asymmetry indexes. We provide examples which show that these quantitative estimates are sharp.

 

Nedladdningar

Publicerad

2021-08-31

Nummer

Vol 46 Nr 2 (2021)

Sektion

Articles

Licens

Copyright (c) 2021 The Finnish Mathematical Society

Creative Commons-licens

Detta verk är licensierat under en Creative Commons Erkännande-IckeKommersiell 4.0 Internationell-licens.

Referera så här

Julin, V., & Saracco, G. (2021). Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants. Annales Fennici Mathematici, 46(2), 1071-1087. https://afm.journal.fi/article/view/111063