Asymptotic methods constitute an important area of both pure and applied mathematics and have applications to a vast array of problems. This collection of papers is devoted to asymptotic methods applied to mechanical problems, primarily thin structure problems. The first section presents a survey of asymptotic methods and a review of the literature, including the considerable body of Russian works in this area. This part may be used as a reference book or as a textbook for advanced undergraduate or graduate students in mathematics or engineering. The second part presents original papers...

Contains the developments on the structure of moduli spaces, with an emphasis on the algebraic structures that underlie this structure. This book covers such topics as Hilbert schemes of points, moduli of instantons, coherent sheaves and their derived cate

Brings together scientists working in several different but related areas. This title places emphasis on the combination of analytical and numerical methods and also the use of symbolic computation. It is suitable for scientists working in this highly topi

The lectures collected for this volume were given during a workshop entitled, Semi-analytic Methods for the Navier Stokes Equations held at the CRM in Montreal. The title reflects the current reality in fluid dynamics: Navier-Stokes equations (NSE) describe the behaviour of fluid in a wide range of physical situations, the solutions of these equations are sufficiently complicated, so that another level of analysis is clearly needed. The fundamental problem is not just to solve the NSE, but also to understand what the solutions mean.

The papers in this collection explore the connections between the rapidly developing fields of measure-valued processes, stochastic partial differential equations, and interacting particle systems. Bringing together ideas and tools arising from these different sources, the papers include contributions to major directions of research in these fields, explore the interface between them, and describe newly developing research problems and methodologies. Several papers are devoted to different aspects of measure-valued branching processes (also called superprocesses). Some new classes of these...

Special geometries as well as the relation between curvature and topology have always been of interest to differential geometers. This title provides a survey on the developments on Riemannian geometry, special geometrical structures on manifolds, and thei

A collection of survey and research papers that gives a glance of the profound consequences of Molchanov's contributions in stochastic differential equations, spectral theory for deterministic and random operators, localization and intermittency, mathemati

This book is the first volume of the proceedings of the Canadian Mathematical Society Annual Seminar on Mathematical Quantum Theory, held in Vancouver in August 1993. The seminar was run as a research-level summer school concentrating on two related areas of contemporary mathematical physics. The subject of the first session, quantum field theory and many-body theory, is covered in the present volume; papers from the second session, on Schr odinger operators, are in Volume 2. Each session featured a series of minicourses, consisting of approximately four one-hour lectures, designed to...

Based on the Workshop on Symmetries in Physics held at the Center de recherches mathematiques in memory of Robert T Sharp. This book includes such topics as representation theoretic methods for Lie algebras, and quantization techniques. It is suitable for students interested in group theoretic methods, and mathematical physics.

Collects articles from the meeting of the Canadian Number Theory Association held at the Centre de Recherches Mathematiques (CRM) at the University of Montreal. This book covers topics such as algebraic number theory, analytic number theory, arithmetic algebraic geometry, computational number theory, and Diophantine analysis and approximation.