Contains research and expository articles based on talks presented at the 2nd Symposium on Analysis and PDEs, held at Purdue University. This book contains topics that include kinetic formulations of nonlinear PDEs; unique continuation results and their ap

This is the proceedings of the AMS special session on nonstandard models of arithmetic and set theory held at the Joint Mathematics Meetings in Baltimore (MD). The volume opens with an essay from Haim Gaifman that probes the concept of non-standardness in mathematics and provides a fascinating mix of historical and philosophical insights into the nature of nonstandard mathematical structures. In particular, Gaifman compares and contrasts the discovery of nonstandard models with other key mathematical innovations, such as the introduction of various number systems, the modern concept of...

This volume consists of contributions by speakers at the AMS Special Session on Combinatorial and Statistical Group Theory held at New York University. Readers will find a variety of contributions, including survey papers on applications of group theory in cryptography, research papers on various aspects of statistical group theory, and papers on more traditional combinatorial group theory. The book is suitable for graduate students and research mathematicians interested in group theory and its applications to cryptography.

The representation theory of real reductive groups is still incomplete, in spite of much progress made thus far. These papers aim to elucidate the problems that remain. They also explain what tools have recently become available to solve the problems.

This book is devoted to progress in the study of curves and abelian varieties. It discusses both classical aspects of this deep subject as well as two important developments, tropical geometry and the theory of log schemes.

Based on two special sessions held at the AMS Annual Meeting in New Orleans in January 2007, and a satellite workshop held in Baton Rouge on January 4-5, 2007, this text consists of invited expositions that together represent a broad spectrum of fields, stressing connections between areas that are normally thought of as disparate.

Focuses on Banach spaces of functions analytic in the open unit disc, such as the classical Hardy and Bergman spaces, and weighted versions of these spaces. This book includes results characterizing bounded, compact and isometric composition operators in v

Contains a series of articles on wave phenomena and fluid dynamics, highlighting recent advances in these two areas of mathematics. This book discusses mathematical topics that range from partial differential equations, dynamical systems and stochastic pro

Summarizes progress in the field of topological robotics - a fresh discipline at the crossroads of topology, engineering and computer science. This book uses topological ideas, topological language, topological philosophy, and specially developed tools of

Reflects the program of the Eighth International Conference on $p$-adic Functional Analysis held at Blaise Pascal University (Clemont-Ferrand, France). This work covers a range of topics, including basic ultrametric functional analysis, topological vector