A. Kolesnikov

most citedMass transport and variants of the logarithmic Sobolev inequality

4 citations · 5 across the 2 of their papers we have counts for

collaborators

2 papers

math.DG2008★ 1 cited

Mass transport generated by a flow of Gauss maps

Vladimir I. Bogachev, Alexander V. Kolesnikov

Let $A \subset R^{d}$ , $d \geq 2$ , be a compact convex set and let $μ = ϱ_{0} d x$ be a probability measure on $A$ equivalent to the restriction of Lebesgue measure. Let $ν=…

math.PR2007★ 4 cited

Mass transport and variants of the logarithmic Sobolev inequality

Franck Barthe, Alexander V. Kolesnikov

We develop the optimal transportation approach to modified log-Sobolev inequalities and to isoperimetric inequalities. Various sufficient conditions for such inequalities are given…