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angle-left A quantitative dimension free isoperimetric inequality for the fractional Gaussian perimeter
 03 Maggio 2022  -  Scadenza 04 Maggio
Mercoledì 4 maggio 2022, alle ore 15:30, in aula Anni,  il Dott. Alessandro Carbotti (Università del Salento) terrà un seminario dal titolo
 
"A quantitative dimension free isoperimetric inequality for the fractional Gaussian perimeter". 
 
 
Abstract
We prove a quantitative isoperimetric inequality for the fractional Gaussian perimeter using extension techniques. Though the exponent of the Fraenkel asymmetry is not sharp, the constant appearing in the inequality does not depend on the dimension but only on the Gaussian volume of the set and on the fractional order. In the last part of the talk we give a brief overview on open problems and possible generalizations.