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.
Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants / Julin, Vesa; Saracco, Giorgio. - In: ANNALES FENNICI MATHEMATICI. - ISSN 2737-0690. - 46:2(2021), pp. 1071-1087. [10.5186/aasfm.2021.4666]
Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants
Saracco, Giorgio
2021-01-01
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.File in questo prodotto:
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