The study of epidemic models is one of the central topics of mathematical biology. This volume presents in monograph form the rigorous mathematical theory developed to analyze the asymptotic behaviour of certain types of epidemic models. The main model discussed is the so-called spatial deterministic epidemic in which infected individuals are not allowed to again become susceptible, and infection is spread by means of contact distributions. Results concern the existence of travelling wave solutions, the asymptotic speed of propagation and the spatial final size. A central result for radially...

Over the last ten years, the theory of Bergman spaces has undergone a remarkable metamorphosis. In a series of major advances, central problems once considered intractable were solved, and a rich theory emerged. Although progress continues, the time seems ripe for a full and unified account of the subject, weaving the old and new results together. This thorough exposition provides just that. The subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory. It has much in common with Hardy spaces, but involves new elements such as...

Summarizes the literature about the ring structure of the mod 2 cohomology of sporadic simple groups. This book offers background material on the relevant constructions from algebraic topology, and on local geometries from group theory.

Since the discovery that Artin's braid groups enjoy a left-invariant linear ordering, several different approaches have been used to understand this phenomenon. This text provides an account of those approaches, involving varied objects & domains as combinatorial group theory, self-distributive algebra & finite combinatorics.

Geometric analysis has become one of the most important tools in geometry and topology. In their books on the Ricci flow, the authors reveal the depth and breadth of this flow method for understanding the structure of manifolds. With the present book, the authors focus on the analytic aspects of Ricci flow.

Studies the relationship between foliation theory and differential geometry and analysis on Cauchy-Riemann (CR) manifolds. This title proposes many open problems that may attract the mathematical community and lead to further applications of foliation theo

Symplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thought for the past 300 years - the relations between the wave and the corpuscular theories of light. The purpose of this book is to develop these themes, and present some of the advances, using the language of differential geometry as a unifying influence.

Presents a survey of gradient inequalities and their applications. This exposition emphasizes the powerful applications of gradient inequalities in studying asymptotic behavior and stability of gradient-like dynamical systems. It is written for advanced gr

Model categories have become a standard tool in algebraic topology and homological algebra and, increasingly, in other fields where homotopy theoretic ideas are becoming important, such as algebraic $K$-theory and algebraic geometry. Suitable for graduate

Includes chapters that cover the basics about subnormal operator theory and present a study of analytic functions on the unit disk. This book includes such topics as: some results on hyponormal operators, a study of weak-star rational approximation, and a set of results that can be termed structure theorems for subnormal operators.