40 citations · 97 across the 17 of their papers we have counts for
4 papers · 1 filter
Obstructions to regularity in the classical Monge problem
Maria Colombo, Emanuel Indrei
We provide counterexamples to regularity of optimal maps in the classical Monge problem under various assumptions on the initial data. Our construction is based on a variant of the…
Regularity of shadows and the geometry of the singular set associated to a Monge-Ampere equation
Emanuel Indrei, Levon Nurbekyan
Illuminating the surface of a convex body with parallel beams of light in a given direction generates a shadow region. We prove sharp regularity results for the boundary of this sh…
On the regularity of the free boundary in the optimal partial transport problem
Shibing Chen, Emanuel Indrei
This paper concerns the regularity and geometry of the free boundary in the optimal partial transport problem for general cost functions. More specifically, we prove that a c…
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…