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math.AP2013
A quantitative log-Sobolev inequality for a two parameter family of functions
Emanuel Indrei, Diego Marcon
We prove a sharp, dimension-free stability result for the classical logarithmic Sobolev inequality for a two parameter family of functions. Roughly speaking, our family consists of…
math.AP2012
A sharp stability result for the relative isoperimetric inequality inside convex cones
Alessio Figalli, Emanuel Indrei
The relative isoperimetric inequality inside an open, convex cone states that, at fixed volume, minimizes the perimeter inside . Star…
math.AP2012
Free boundary regularity in the optimal partial transport problem
Emanuel Indrei
In the optimal partial transport problem, one is asked to transport a fraction of the mass of onto while minimizing a…