Fields Institute Monographs – serie
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46 produkter
Riemannian Geometry
Av American Mathematical Society
Inbunden, 1996
823 kr
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This book is a compendium of survey lectures presented at a conference on Riemannian Geometry sponsored by The Fields Institute for Research in Mathematical Sciences (Waterloo, Canada) in August 1993. Attended by over 80 participants, the aim of the conference was to promote research activity in …
Galois Module Structure
Av American Mathematical Society
Inbunden, 1994
682 kr
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Galois module structure deals with the construction of algebraic invariants from a Galois extension of number fields with group $G$. Typically these invariants lie in the class-group of some group-ring of $G$ or of a related order. These class-groups have 'Hom-descriptions' in terms of …
Multiplicative Galois Module Structure
Av American Mathematical Society
Inbunden, 1996
682 kr
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This book is the result of a short course on the Galois structure of $S$-units that was given at The Fields Institute in the fall of 1993. Offering a new angle on an old problem, the main theme is that this structure should be determined by class field theory, in its cohomological form, and by the …
Lectures on Operator Theory and Its Applications
Av American Mathematical Society
Inbunden, 1995
1709 kr
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Lifting Solutions to Perturbing Problems in C*-Algebras
Av American Mathematical Society
Inbunden, 1996
767 kr
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The nature of $C^*$-algebras is such that one cannot study perturbation without also studying the theory of lifting and the theory of extensions. Approximation questions involving representations of relations in matrices and $C^*$-algebras are the central focus of this volume. A variety of …
Quasicrystals and Discrete Geometry
Av Jiri Patera
Inbunden, 1998
1386 kr
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The common topic of the eleven articles in this volume is ordered aperiodic systems realized either as point sets with the Delone property or as tilings of a Euclidean space. This emerging field of study is found at the crossroads of algebra, geometry, Fourier analysis, number theory, …
Lectures on Operator Theory
Av American Mathematical Society
Inbunden, 1999
1147 kr
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This book resulted from the lectures held at The Fields Institute (Waterloo, ON, Canada). Leading international experts presented current results on the theory of $C^*$-algebras and von Neumann algebras, together with recent work on the classification of $C^*$-algebras. Much of the material in the …
Ordered Exponential Fields
Av American Mathematical Society
Inbunden, 1999
851 kr
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Model theoretic algebra has witnessed remarkable progress in the last few years. It has found profound applications in other areas of mathematics, notably in algebraic geometry and in singularity theory. Since Wilkie's results on the o-minimality of the expansion of the reals by the exponential …
Shape, Smoothness and Invariant Stratification of an Attracting Set for Delayed Monotone Positive Feedback
Av American Mathematical Society
Inbunden, 1998
1217 kr
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This book contains recent 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. The authors describe in detail the geometric structure of a fundamental invariant set, …
Lectures on Algebraic Model Theory
Av American Mathematical Society
Inbunden, 2001
588 kr
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In recent years, model theory has had remarkable success in solving important problems as well as in shedding new light on our understanding of them. The three lectures collected here present recent developments in three such areas: Anand Pillay on differential fields, Patrick Speissegger on …
Coloring Mixed Hypergraphs
Theory, Algorithms and Applications
Av American Mathematical Society
Inbunden, 2002
823 kr
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The theory of graph coloring has existed for more than 150 years. Historically, graph coloring involved finding the minimum number of colors to be assigned to the vertices so that adjacent vertices would have different colors. From this modest beginning, the theory has become central in discrete …
Meromorphic Functions and Linear Algebra
Av American Mathematical Society
Inbunden, 2003
795 kr
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This volume describes for the first time in monograph form important applications in numerical methods of linear algebra. The author presents new material and extended results from recent papers in a very readable style. The main goal of the book is to study the behavior of the resolvent of a …
Brauer Type Embedding Problems
Av American Mathematical Society
Inbunden, 2005
837 kr
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This monograph 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. The advantage of considering Brauer type embedding problems is their comparatively …
Modular Calabi-Yau Threefolds
Inbunden, 2005
950 kr
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This book discusses the connection between Calabi-Yau threefolds and modular forms. It presents the general theory and brings together the known results. Hundreds of new examples are given of rigid and non-rigid Calabi-Yau threefolds, and the construction of correspondences between them leads to …
Conformal Field Theory with Gauge Symmetry
Av American Mathematical Society
Inbunden, 2008
893 kr
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This book presents a systematic approach to conformal field theory with gauge symmetry from the point of view of complex algebraic geometry. After presenting the basic facts of the theory of compact Riemann surfaces and the representation theory of affine Lie algebras in Chapters 1 and 2, conformal …
Introduction to Orthogonal, Symplectic and Unitary Representations of Finite Groups
Inbunden, 2011
1414 kr
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Orthogonal, symplectic and unitary representations of finite groups lie at the crossroads of two more traditional subjects of mathematics--linear representations of finite groups, and the theory of quadratic, skew symmetric and Hermitian forms --and thus inherit some of the characteristics of …
Large Deviations
Häftad, 2008
795 kr
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This volume offers an introduction to large deviations. It is divided into two parts: theory and applications. Basic large deviation theorems are presented for i.i.d. sequences, Markov sequences, and sequences with moderate dependence. The rate function is computed explicitly. The theory is …
Introduction to Homotopy Theory
Av American Mathematical Society
Häftad, 2008
823 kr
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This text is based on a one-semester graduate course taught by the author at The Fields Institute in fall 1995 as part of the homotopy theory program which constituted the Institute's major program that year. The intent of the course was to bring graduate students who had completed a first course …
Ottawa Lectures on Admissible Representations of Reductive P-adic Groups
Av American Mathematical Society
Häftad, 2009
992 kr
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Ottawa Lectures offers researchers and graduate students a rare 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 …
Function Theory
Interpolation and Corona Problems
Inbunden, 2009
950 kr
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These lecture notes take the reader from Lennart Carleson's first deep results on interpolation and corona problems in the unit disk to modern analogues in the disk and ball. The emphasis is on introducing the diverse array of techniques needed to attack these problems rather than producing an …
Coxeter Groups and Hopf Algebras
Av Marcelo Aguiar, Swapneel Mahajan
Häftad, 2012
851 kr
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An important idea in the work of G.-C. Rota is that certain combinatorial objects give rise to Hopf algebras that reflect the manner in which these objects compose and decompose. Recent work has seen the emergence of several interesting Hopf algebras of this kind, which connect diverse subjects …
Global Dynamics, Phase Space Transport, Orbits Homoclinic to Resonances and Applications
Av American Mathematical Society
Inbunden, 1993
682 kr
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This monograph, which grew out a series of lectures delivered by Stephen Wiggins at the Fields Institute in early 1993, is concerned with the geometrical viewpoint of the global dynamics of nonlinear dynamical systems. With appropriate examples and concise explanations, Wiggins unites many …
Density Evolution Under Delayed Dynamics
An Open Problem
Av Jérôme Losson, Michael C. Mackey m. fl.
Inbunden, 2020
1098 kr
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This monograph has arisen out of a number of attempts spanning almost five decades to understand how one might examine the evolution of densities in systems whose dynamics are described by differential delay equations. Though the authors have no definitive solution to the problem, they offer this …
Density Evolution Under Delayed Dynamics
An Open Problem
Av Jérôme Losson, Michael C. Mackey m. fl.
Häftad, 2021
1098 kr
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This monograph has arisen out of a number of attempts spanning almost five decades to understand how one might examine the evolution of densities in systems whose dynamics are described by differential delay equations. Though the authors have no definitive solution to the problem, they offer this …
Optimal Stochastic Control, Stochastic Target Problems, and Backward SDE
Av Nizar Touzi
Inbunden, 2012
1316 kr
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This book collects some recent developments in stochastic control theory with applications to financial mathematics. We first address standard stochastic control problems from the viewpoint of the recently developed weak dynamic programming principle. A special emphasis is put on the regularity …
Uniform Spaces and Measures
Av Jan Pachl
Inbunden, 2012
1098 kr
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This book addresses the need for an accessible comprehensive exposition of the theory of uniform measures; the need that became more critical when recently uniform measures reemerged in new results in abstract harmonic analysis. Until now, results about uniform measures have been scattered through …
Derivatives of Inner Functions
Inbunden, 2012
552 kr
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Inner functions form an important subclass of bounded analytic functions. Since they have unimodular boundary values, they appear in many extremal problems of complex analysis. They have been extensively studied since early last century, and the literature on this topic is vast. Therefore, this …
Lectures on Sphere Arrangements – the Discrete Geometric Side
Inbunden, 2013
552 kr
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This monograph gives a short introduction to the relevant modern parts of discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate and early graduate students, as well as interested …
Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization
Häftad, 2016
1104 kr
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Since the early 1960s, polyhedral methods have played a central role in both the theory and practice of combinatorial optimization. Since the early 1990s, a new technique, semidefinite programming, has been increasingly applied to some combinatorial optimization problems. The semidefinite …
C*-Algebras by Example
Häftad, 1996
1020 kr
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The subject of C*-algebras received a dramatic revitalization in the 1970s by the introduction of topological methods through the work of Brown, Douglas, and Fillmore on extensions of C*-algebras and Elliott's use of $K$-theory to provide a useful classification of AF algebras. These results were …
