TY - JOUR AU - Julin, Vesa AU - Saracco, Giorgio PY - 2021/08/31 Y2 - 2024/03/29 TI - Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants JF - Annales Fennici Mathematici JA - Ann. Fenn. Math. VL - 46 IS - 2 SE - Articles DO - UR - https://afm.journal.fi/article/view/111063 SP - 1071-1087 AB - <pre>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.</pre><p>&nbsp;</p> ER -