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Variations on a Theme of Borel
In the middle of the last century, after hearing a talk of Mostow on one of his rigidity theorems, Borel conjectured in a letter to Serre a purely topological version of rigidity …
Linear and Projective Representations of Symmetric Groups
The representation theory of symmetric groups is one of the most beautiful, popular, and important parts of algebra with many deep relations to other areas of mathematics, such as …
Affine Hecke Algebras and Orthogonal Polynomials
In recent years there has developed a satisfactory and coherent theory of orthogonal polynomials in several variables, attached to root systems, and depending on two or more …
Algebraic L-theory and Topological Manifolds
The Browder-Novikov-Sullivan-Wall surgery theory emerged in the 1960s as the main technique for classifying high-dimensional topological manifolds, using the algebraic L-theory of …
Dimensions, Embeddings, and Attractors
This accessible research monograph investigates how 'finite-dimensional' sets can be embedded into finite-dimensional Euclidean spaces. The first part brings together a number of …
Auxiliary Polynomials in Number Theory
This unified account of various aspects of a powerful classical method, easy to understand in its simplest forms, is illustrated by applications in several areas of number theory. …
Fractional Sobolev Spaces and Inequalities
The fractional Sobolev spaces studied in the book were introduced in the 1950s by Aronszajn, Gagliardo and Slobodeckij in an attempt to fill the gaps between the classical Sobolev …
Mixed Hodge Structures and Singularities
This 1998 book is both an introduction to, and a survey of, some topics of singularity theory; in particular the studying of singularities by means of differential forms. Here some …
Lévy Processes in Lie Groups
The theory of Lévy processes in Lie groups is not merely an extension of the theory of Lévy processes in Euclidean spaces. Because of the unique structures possessed by …
Totally Positive Matrices
Totally positive matrices constitute a particular class of matrices, the study of which was initiated by analysts because of its many applications in diverse areas. This account of …
Large Deviations for Markov Chains
This book studies the large deviations for empirical measures and vector-valued additive functionals of Markov chains with general state space. Under suitable recurrence …