3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.AP2021
Regularity of the Schr{ö}dinger cost
Gauthier Clerc
The Schr{ö}dinger problem is an entropy minimisation problem on the space of probability measures. Its optimal value is a cost between two probability measures. In this article we…
math.CA2020★ 3 cited
On the variational interpretation of local logarithmic Sobolev inequalities
Gauthier Clerc, Giovanni Conforti, Ivan Gentil
The celebrated Otto calculus has established itself as a powerful tool for proving quantitative energy dissipation estimates and provides with an elegant geometric interpretation o…
math.AP2020
Long-time behaviour of entropic interpolations
Gauthier Clerc, Giovanni Conforti, Ivan Gentil
In this article we investigate entropic interpolations. These measure valued curves describe the optimal solutions of the Schr{ö}dinger problem [Sch31], which is the problem of fin…