Previous Conferences & Workshops

We study the integrability properties of the gain part of the Boltzmann collision operator using radial symmetrization techniques from harmonic analysis to show Young's inequality for the case of hard potentials and the Hardy-Littlewood-Sobolev...

Rigorous results about the classical microcanonical ensemble have so far been based on the regularization of the microcanonical measure, with the exception of the ideal gas. In this talk I explain that the regularization is not needed for...

In 2005 Ma, Trudinger and Wang introduced a fourth-order differential condition which comes close to be necessary and sufficient for the smoothness of solutions to optimal transport problems with a given cost function. If the cost function is the...

The large-time behavior of the return probabilities of a random walk is controlled by the behavior of the Green's function $G_r (x,y)$ at the radius $r=R$ of convergence. For nearest neighbor random walks on virtually free groups it is known that...

In recent years, fully nonlinear versions of the Yamabe problem have received much attention. In particular, for manifolds with boundary, $C^1$ and $C^2$a priori estimates have been proved for a large class of data. To get an existence result, it is...

In pioneering work Tian/Viaclovsky initiated the study of the moduli space of Bach-flat metrics. They showed C^0-orbifold regularity and, equivalently, ALE order zero of noncompact finite-energy solutions. By use of Kato inequalities, the full...

The classical isoperimetric inequality in Euclidean space asserts that among all sets of given Lebesgue measure; the Euclidean ball minimizes surface area. Using a suitable generalization of surface area, isoperimetric inequalities may be...