The goal of this review paper is to provide the reader with a concise introduction to the
mathematical theory of collision processes in (dilute) gases and plasmas, viewed as a …

This is the first comprehensive introduction to the theory of mass transportation with its many—
and sometimes unexpected—applications. In a novel approach to the subject, the book both …

At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and
John Mather launched a revolution in the venerable field of optimal transport founded by G …

Concentration inequalities deal with deviations of functions of independent random
variables from their expectation. In the last decade new tools have been introduced making …

The theory of random matrices plays an important role in many areas of pure mathematics
and employs a variety of sophisticated mathematical tools (analytical, probabilistic and …

The observation of the concentration of measure phenomenon is inspired by isoperimetric
inequalities. This book offers the basic techniques and examples of the concentration of …

We define a notion of a measured length space X having nonnegative N-Ricci curvature, for
N∈[1,∞), or having∞-Ricci curvature bounded below by K, for K∈ ℝ. The definitions are in …

In this paper, we introduce a synthetic notion of Riemannian Ricci bounds from below for
metric measure spaces (X, d, m) which is stable under measured Gromov–Hausdorff …

During the seven years that elapsed between the first and second editions of the present
book, considerable progress was achieved in the area of financial modelling and pricing of …

One of the most studied problem in nonparametric statistics is density estimation. Suppose
that one observes n independent random variables X1,..., Xn valued in some measurable …