Among the topics covered in the book are measure concentration, isoperimetric constants of log-concave measures, thin-shell estimates, stochastic localization, the... Læs mere
This book is based on lectures given at the Graduate Summer School of the 2015 Park City Mathematics Institute program, “Geometry of moduli spaces and... Læs mere
Gives a rigorous introduction to some of Perelman's work and explains some technical aspects of Ricci flow useful for singularity... Læs mere
An encyclopedia of number theory. It features text in German.
Examines the theory of measures having values in Banach spaces. This book deals with countably additive vector measures finitely additive vector measures, the Orlicz-Pettis theorem and... Læs mere
Covers geometric approximation algorithms in detail. In addition, more traditional computational geometry techniques that are widely used in developing such... Læs mere
Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory... Læs mere
Offers an introduction to various aspects of the representation theory of finite groups. The authors go beyond the standard elementary... Læs mere
Discusses the Riemann and the Riemann-Stieltjes integrals. This book deals with Lebesgue measure and integration. It is suitable for students studying the basic principles of analysis.
Expands on a set of lectures held at the Courant Institute on Riemann-Hilbert problems, orthogonal polynomials, and random matrix theory. The goal of the course was to prove universality for a variety of statistical quantities arising in the theory of random matrix models.