For Borel probability measures on metric spaces, this text studies the interplay between isoperimetric and Sobolev-type inequalities. In particular the question
Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical
The interactions between concentration, isoperimetry and functional inequalities have led to many significant advances in functional analysis and probability th
This volume of papers presented at the conference in honor of Calixto P. Calderón by his friends, colleagues, and students is intended to make the mathematical
The European Congress of Mathematics, held every four years, has established itself as a major international mathematical event. Following those in Paris, 1992,
