Bøger i Fields Institute Monographs serien

This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative solutions of nonlinear elliptic problems in asymptotically symmetric unbounded domains.

This monograph aims to provide a rigorous yet accessible presentation of some fundamental concepts used in modeling brain mechanics and give a glimpse of the insights and advances that have arisen as a result of the nascent interaction of the mathematical and neurosurgical sciences.

This book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the current open problems.

This book gives a short introduction to parts of modern discrete geometry in addition to leading the reader to the frontiers of geometric research on sphere arrangements. It contains 30 open research problems ideal for graduate students and researchers.

This book is offers a concise study of derivatives of inner functions, confined to treating the integral means of derivatives and presenting a comprehensive list of results on Hardy and Bergman means.

This book details the theory of uniform spaces using pseudometrics. It features complete proofs, exercises as well as several new results. The book also presents diverse results from many sources organized in a logical whole.

Presents a systematic approach to conformal field theory with gauge symmetry from the point of view of complex algebraic geometry. This book also presents the basic facts of the theory of compact Riemann surfaces and the representation theory of affine Lie algebras.

This book collects recent developments in stochastic control theory with applications to financial mathematics. It approaches quadratic backward stochastic differential equations following the point of view of Tevzadze.

Monte Carlo methods form an experimental branch of mathematics that employs simulations driven by random number generators. This book examines the theoretical properties of Monte Carlo methods as well as practical issues concerning their computer implementation and statistical analysis.

This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative solutions of nonlinear elliptic problems in asymptotically symmetric unbounded domains.

Offers researchers and graduate students an introduction to some of the major modern themes in the representation theory of p-adic groups: the classification and construction of their (complex) admissible representations, the calculation of their characters, and the realization of the celebrated local Langlands correspondence.

Presents a series of lectures delivered by Stephen Wiggins at the Fields Institute in early 1993, that is concerned with the geometrical viewpoint of the global dynamics of nonlinear dynamical systems. This work is suitable for engineers and mathematicians who work on issues related to the global dynamics of nonlinear dynamical systems.

Focusing on the theme of point counting and explicit arithmetic on the Jacobians of curves over finite fields the topics covered in this volume include Schoof's $\ell$-adic point counting algorithm, the $p$-adic algorithms of Kedlaya and Denef-Vercauteren, explicit arithmetic on the Jacobians of $C_{ab}$ curves and zeta functions.

Contains results about the global dynamics defined by a class of delay differential equations which model basic feedback mechanisms and arise in a variety of applications such as neural networks. This book describes the geometric structure of a fundamental invariant set, which in special cases is the global attractor.

Offers an introduction to large deviations. This book is divided into two parts: theory and applications. It presents basic large deviation theorems for i i d sequences, Markov sequences, and sequences with moderate dependence. It also includes an outline of general definitions and theorems.

A monograph that is concerned with Galois theoretical embedding problems of so-called Brauer type with a focus on 2-groups and on finding explicit criteria for solvability and explicit constructions of the solutions. It also considers questions of reducing the embedding problems and reformulating the solvability criteria.