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.

 

Numero
Vol 46 Nro 2 (2021)
Osasto
Articles

Julkaistu

2021-08-31

Viittaaminen

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

Copyright (c) 2021 The Finnish Mathematical Society

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