For Borel probability measures on metric spaces, this text studies the interplay between isoperimetric and Sobolev-type inequalities. In particular the question

The interactions between concentration, isoperimetry and functional inequalities have led to many significant advances in functional analysis and probability th

In this book, the authors describe a continuum limit of the Toda ODE system, obtained by taking as initial data for the finite lattice successively finer discre

This volume is about tree-like structures, namely semilinear ordering, general betweenness relations, C-relations and D-relations. It contains a systematic stud

Presents a systematic treatment for the evaluation of basic almost poised series. Some 200 identities are covered, among which most are believed to be new. Thei