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.

 

Nummer
Vol 46 Nr 2 (2021)
Sektion
Articles

Publicerad

2021-08-31

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. Hämtad från https://afm.journal.fi/article/view/111063

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