CRM Monograph Series – serie
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32 produkter
Introduction to Branching Measure-Valued Processes
Av American Mathematical Society
Inbunden, 1994
1386 kr
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For about half a century, two classes of stochastic processes - Gaussian processes and processes with independent increments - have played an important role in the development of stochastic analysis and its applications. During the last decade, a third class - branching measure-valued (BMV) …
Dynamics of Small Neural Populations
Av American Mathematical Society
Inbunden, 1996
837 kr
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This book arose from a series of lectures presented at the CRM Summer School in Mathematical Biology held at the University of British Columbia in the summer of 1993 by John Milton, a clinical neurologist and biomathematician. In this work, three themes are explored: time-delayed feedback control, …
Open Algebraic Surfaces
Inbunden, 2000
1386 kr
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Open algebraic surfaces are a synonym for algebraic surfaces that are not necessarily complete. An open algebraic surface is understood as a Zariski open set of a projective algebraic surface. There is a long history of research on projective algebraic surfaces, and there exists a beautiful …
Wavelets, Vibrations and Scalings
Av Yves Meyer
Inbunden, 1997
837 kr
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Physicists and mathematicians are intensely studying fractal sets of fractal curves. Mandelbrot advocated modeling of real-life signals by fractal or multifractal functions. One example is fractional Brownian motion, where large-scale behavior is related to a corresponding infrared divergence. …
Free Random Variables
Av American Mathematical Society
Häftad, 1992
598 kr
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This book presents the first comprehensive introduction to free probability theory, a highly noncommutative probability theory with independence based on free products instead of tensor products. Basic examples of this kind of theory are provided by convolution operators on free groups and by the …
Introduction to Abelian Varieties
Av American Mathematical Society
Häftad, 1993
598 kr
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'The book represents an introduction to the theory of abelian varieties with a view to arithmetic. The aim is to introduce some of the basics of the theory as well as some recent arithmetic applications to graduate students and researchers in other fields. The first part contains proofs of the …
Lectures on Hilbert Modular Varieties and Modular Forms
Av Eyal Goren
Inbunden, 2001
1386 kr
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This book is devoted to certain aspects of the theory of $p$-adic Hilbert modular forms and moduli spaces of abelian varieties with real multiplication. The theory of $p$-adic modular forms is presented first in the elliptic case, introducing the reader to key ideas of N. M. Katz and J.-P. Serre. …
Directions in Mathematical Quasicrystals
Av American Mathematical Society
Inbunden, 2000
1386 kr
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This volume includes twelve solicited articles which survey the current state of knowledge and some of the open questions on the mathematics of aperiodic order. A number of the articles deal with the sophisticated mathematical ideas that are being developed from physical motivations. Many prominent …
Regulators of Beilinson and Borel
Av American Mathematical Society
Inbunden, 2001
1386 kr
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This book contains a complete proof of the fact that Borel's regulator map is twice Beilinson's regulator map. The strategy of the proof follows the argument sketched in Beilinson's original paper and relies on very similar descriptions of the Chern-Weil morphisms and the van Est isomorphism. The …
On Finiteness in Differential Equations and Diophantine Geometry
Av American Mathematical Society
Inbunden, 2005
1386 kr
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This book focuses on finiteness conjectures and results in ordinary differential equations (ODEs) and Diophantine geometry. During the past twenty-five years, much progress has been achieved on finiteness conjectures, which are the offspring of the second part of Hilbert's 16th problem. Even in its …
Acyclic Models
Av American Mathematical Society
Inbunden, 2002
1386 kr
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Acyclic models is a method heavily used to analyze and compare various homology and cohomology theories appearing in topology and algebra. This book is the first attempt to put together in a concise form this important technique and to include all the necessary background. It presents a brief …
Fermionic Functional Integrals and the Renormalization Group
Av American Mathematical Society
Inbunden, 2002
1386 kr
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This book, written by well-known experts in the field, offers a concise summary of one of the latest and most significant developments in the theoretical analysis of quantum field theory. The renormalization group is the name given to a technique for analyzing the qualitative behavior of a class of …
Hecke Algebras with Unequal Parameters
Av American Mathematical Society
Inbunden, 2003
1386 kr
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Hecke algebras arise in representation theory as endomorphism algebras of induced representations. One of the most important classes of Hecke algebras is related to representations of reductive algebraic groups over $p$-adic or finite fields. In 1979, in the simplest (equal parameter) case of such …
Riemann Surfaces of Infinite Genus
Av American Mathematical Society
Inbunden, 2003
1386 kr
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In this book, the authors geometrically construct Riemann surfaces of infinite genus by pasting together plane domains and handles. To achieve a meaningful generalization of the classical theory of Riemann surfaces to the case of infinite genus, one must impose restrictions on the asymptotic …
Chirurgie Des Grassmanniennes
Av L. Lafforgue
Inbunden, 2003
1386 kr
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The AMS now makes available this succinct and quite elegant research monograph written by Fields Medalist and eminent researcher, Laurent Lafforgue. The material is an outgrowth of Lafforgue's lectures and seminar at the Centre de Recherches Mathematiques (University of Montreal, QC, Canada), where …
Mathematical Techniques for Analyzing Concurrent and Probabilistic Systems
Av American Mathematical Society
Inbunden, 2004
1386 kr
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This book consists of two sets of lecture notes devoted to slightly different methods of analysis of concurrent and probabilistic computational systems. The first set of lectures develops a calculus of streams (a generalization of the set of natural numbers) based on the coinduction principle …
Information Theory and Stochastics for Multiscale Nonlinear Systems
Av Andrew Majda, Marcus J. Grote
Inbunden, 2005
1386 kr
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This book introduces mathematicians to the fascinating mathematical interplay between ideas from stochastics and information theory and practical issues in studying complex multiscale nonlinear systems. It emphasizes the serendipity between modern applied mathematics and applications where rigorous …
Convexity Properties of Hamiltonian Group Actions
Av Victor Guillemin, Reyer Sjamaar
Häftad, 2006
1386 kr
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This is a monograph on convexity properties of moment mappings in symplectic geometry. The fundamental result in this subject is the Kirwan convexity theorem, which describes the image of a moment map in terms of linear inequalities. This theorem bears a close relationship to perplexing old puzzles …
Continuous Symmetries and Integrability of Discrete Equations
Av Decio Levi, Pavel Winternitz m. fl.
Inbunden, 2023
1512 kr
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This book on integrable systems and symmetries presents new results on applications of symmetries and integrability techniques to the case of equations defined on the lattice. This relatively new field has many applications, for example, in describing the evolution of crystals and molecular systems …
Combinatorics on Words
Christoffel Words and Repetitions in Words
Av Jean Berstel, Aaron Lauve m. fl.
Inbunden, 2009
1386 kr
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The two parts of this text are based on two series of lectures delivered by Jean Berstel and Christophe Reutenauer in March 2007 at the Centre de Recherches Mathematiques, Montreal, Canada. Part I represents the first modern and comprehensive exposition of the theory of Christoffel words. Part II …
Monoidal Functors, Species and Hopf Algebras
Av Marcelo Aguiar, Swapneel Mahajan
Inbunden, 2010
2117 kr
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This research monograph integrates ideas from category theory, algebra and combinatorics. It is organised in three parts. Part I belongs to the realm of category theory. It reviews some of the foundational work of Bénabou, Eilenberg, Kelly and Mac Lane on monoidal categories and of Joyal and Street …
Skew-orthogonal Polynomials and Random Matrix Theory
Av American Mathematical Society
Inbunden, 2009
1386 kr
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Orthogonal polynomials satisfy a three-term recursion relation irrespective of the weight function with respect to which they are defined. This gives a simple formula for the kernel function, known in the literature as the Christoffel - Darboux sum. The availability of asymptotic results of …
Quaternion Orders, Quadratic Forms and Shimura Curves
Av Montserrat Alsina, Pilar Bayer
Häftad, 2013
1472 kr
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Shimura curves are a far-reaching generalisation of the classical modular curves. They lie at the crossroads of many areas, including complex analysis, hyperbolic geometry, algebraic geometry, algebra, and arithmetic. This monograph presents Shimura curves from a theoretical and algorithmic …
La Formule Des Traces Tordue D'apres Le Friday Morning Seminar
Av Jean-Pierre Labesse, Jean-Loup Waldspurger
Inbunden, 2013
1569 kr
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The trace formula for an arbitrary connected reductive group over a number field was developed by James Arthur. The twisted case was the subject of the Friday Morning Seminar at the Institute for Advanced Study in Princeton during the 1983-1984 academic year. During this seminar, lectures were …
Random Matrices and the Six-Vertex Model
Inbunden, 2014
1569 kr
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This book provides a detailed description of the Riemann-Hilbert approach (RH approach) to the asymptotic analysis of both continuous and discrete orthogonal polynomials, and applications to random matrix models as well as to the six-vertex model. The RH approach was an important ingredient in the …
Function Theory on Symplectic Manifolds
Av Leonid Polterovich, Daniel Rosen
Inbunden, 2014
1569 kr
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This is a book on symplectic topology, a rapidly developing field of mathematics which originated as a geometric tool for problems of classical mechanics. Since the 1980s, powerful methods such as Gromov's pseudo-holomorphic curves and Morse-Floer theory on loop spaces gave rise to the discovery of …
Geometric and Arithmetic Volume of Shimura Varieties of Orthogonal Type
Inbunden, 2015
1569 kr
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This book outlines a functorial theory of integral models of (mixed) Shimura varieties and of their toroidal compactifications, for odd primes of good reduction. This is the integral version, developed in the author's thesis, of the theory invented by Deligne and Pink in the rational case. In …
Lecons D'Analyse Classique
Exposition D'un Cours Fait Par Paul Koosis a L'Universite McGill, Montreal
Inbunden, 2015
1569 kr
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Ce livre est base sur un cours de deuxieme cycle donne en 2005-2006 par M. Paul Koosis, professeur emerite a l'universite McGill. Il traite de sujets soigneusement choisis par le professeur a l'intention de ceux qui, plutot que de rechercher un catalogue exhaustif de resultats techniques et …
Classification and Identification of Lie Algebras
Av Libor Šnobl, Pavel Winternitz
Häftad, 2014
1569 kr
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A co-publication of the AMS and Centre de Recherches Mathématiques.The purpose of this book is to serve as a tool for researchers and practitioners who apply Lie algebras and Lie groups to solve problems arising in science and engineering. The authors address the problem of expressing a Lie algebra …
Elliptic Boundary Value Problems with Fractional Regularity Data
The First Order Approach
Av Alex Amenta, Pascal Auscher
Inbunden, 2018
1569 kr
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In this monograph the authors study the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces. The authors use …
