Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants

Kirjoittajat

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

Avainsanat:

Cheeger sets, Cheeger constant, quantitative inequalities

Abstrakti

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.

 

Tiedostolataukset

Julkaistu

2021-08-31

Numero

Vol 46 Nro 2 (2021)

Osasto

Articles

Lisenssi

Copyright (c) 2021 The Finnish Mathematical Society

Creative Commons License

Tämä työ on lisensoitu Creative Commons Nimeä-EiKaupallinen 4.0 Kansainvälinen Julkinen -lisenssillä.

Viittaaminen

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