This book gives a comprehensive and self-contained introduction to the theory of symmetric Markov processes and symmetric quasi-regular Dirichlet forms. In a detailed and accessible manner, Zhen-Qing
By studying the degeneration of abelian varieties with PEL structures, this book explains the compactifications of smooth integral models of all PEL-type Shimura varieties, providing the logical found
This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre's f
The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitou
There are many types of infinite-dimensional groups, most of which have been studied separately from each other since the 1950s. It is now possible to fit these apparently disparate groups into one co
Geck (U. Claude Bernard Lyon I, France) and Pfeiffer (mathematics, National U. of Ireland, Galway) develop a substantial part of the theory of conjugacy classes and irreducible characters, both for fi
The coclass project (1980-1994) provided a new and powerful way to classify finite p-groups. This monograph gives a coherent account of the thinking out of which developed the philosophy that lead to
Aiming to unite and note the interrelations between the traditional and modern branches of algebra (the pseudoalgebraic branch on zeros and critical points and the analytic branch on extremal properti
Monograph intended to be accessible to beginning graduate students, and derived from lectures presented by the principal author at Oxford during 1983/84. The field, in which both authors enjoy the sta
