Advanced Courses in Mathematics - CRM Barcelona – serie
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43 produkter
Introduction to Piecewise Smooth Dynamics
Av Paul Glendinning, Mike R. Jeffrey m. fl.
Häftad, 2019
313 kr
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This book is aimed at mathematicians, scientists, and engineers, studying models that involve a discontinuity, or studying the theory of nonsmooth systems for its own sake. It is divided in two complementary courses: piecewise smooth flows and maps, respectively. Starting from well known …
Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension
Av Aidan Sims, Gábor Szabó m. fl.
Häftad, 2020
281 kr
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This book collects the notes of the lectures given at the Advanced Course on Crossed Products, Groupoids, and Rokhlin dimension, that took place at the Centre de Recerca Matemàtica (CRM) from March 13 to March 17, 2017. The notes consist of three series of lectures. The first one was given by Dana …
Introduction to C*-Algebras and the Classification Program
Av Karen R. Strung, Francesc Perera
Häftad, 2020
312 kr
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This book is directed towards graduate students that wish to start from the basic theory of C*-algebras and advance to an overview of some of the most spectacular results concerning the structure of nuclear C*-algebras.The text is divided into three parts. First, elementary notions, classical …
Global Riemannian Geometry: Curvature and Topology
Av Ana Hurtado, Steen Markvorsen m. fl.
Häftad, 2020
314 kr
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This book contains a clear exposition of two contemporary topics in modern differential geometry:distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvaturethe study of scalar curvature rigidity and …
Limit Cycles of Differential Equations
Av Colin Christopher, Chengzhi Li m. fl.
Häftad, 2024
314 kr
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This textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Recerca Matemàtica Barcelona in 2006.The topics covered are the center-focus problem for polynomial vector fields, and the application of Abelian …
Higher Structures and Operadic Calculus
Häftad, 2025
716 kr
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This book presents the notes originating from five series of lectures given at the CRM Barcelona in 21-25 June, 2021, during the “Higher homotopical structures” programme.Since their introduction 60 years ago, the notions of infinity algebras (Stasheff, Sugawara), higher categories (Boardman-Vogt), …
Advances in Poisson Geometry
Av Mario Garcia-Fernandez, David Iglesias Ponte m. fl.
Häftad, 2025
607 kr
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This book presents recent advances in topics related to Poisson geometry originating from lectures given at the “Poisson School” held in 2022 at the CRM in Barcelona. The purpose is to give both an introduction to this active field of research as well as highlight new trends in related topics. The …
Mean Curvature Flow and Isoperimetric Inequalities
Av Manuel Ritoré, Carlo Sinestrari m. fl.
Häftad, 2009
334 kr
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Geometric flows have many applications in physics and geometry. The mean curvature flow occurs in the description of the interface evolution in certain physical models. This is related to the property that such a flow is the gradient flow of the area functional and therefore appears naturally in …
Simplicial Methods for Operads and Algebraic Geometry
Av Ieke Moerdijk, Bertrand Toën
Häftad, 2010
279 kr
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This book is an introduction to two higher-categorical topics in algebraic topology and algebraic geometry relying on simplicial methods. It is based on lectures - livered at the Centre de Recerca Matem ati ca in February 2008, as part of a special year on Homotopy Theory and Higher Categories. …
Modern Optimization Modelling Techniques
Av Roberto Cominetti, Francisco Facchinei m. fl.
Häftad, 2012
334 kr
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The theory of optimization, understood in a broad sense, is the basis of modern applied mathematics, covering a large spectrum of topics from theoretical considerations (structure, stability) to applied operational research and engineering applications. The compiled material of this book puts on …
Harmonic and Geometric Analysis
Av Giovanna Citti, Loukas Grafakos m. fl.
Häftad, 2015
281 kr
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This book contains an expanded version of lectures delivered by the authors at the CRM in Spring of 2009. It contains four series of lectures. The first one is an application of harmonic analysis and the Heisenberg group to understand human vision. The second and third series of lectures cover some …
Elliptic Curves, Hilbert Modular Forms and Galois Deformations
Av Laurent Berger, Gebhard Böckle m. fl.
Häftad, 2013
334 kr
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The notes in this volume correspond to advanced courses held at the Centre de Recerca Matemàtica as part of the research program in Arithmetic Geometry in the 2009-2010 academic year.The notes by Laurent Berger provide an introduction to p-adic Galois representations and Fontaine rings, which are …
Variable Lebesgue Spaces and Hyperbolic Systems
Av David Cruz-Uribe, Alberto Fiorenza m. fl.
Häftad, 2014
281 kr
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This book targets graduate students and researchers who want to learn about Lebesgue spaces and solutions to hyperbolic equations. It is divided into two parts.Part 1 provides an introduction to the theory of variable Lebesgue spaces: Banach function spaces like the classical Lebesgue spaces but …
Arithmetic Geometry over Global Function Fields
Av Gebhard Böckle, David Burns m. fl.
Häftad, 2014
498 kr
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This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2009-2010 at the CRM Barcelona. All of them deal with characteristic p global fields; the common theme around which they are centered is the arithmetic of L-functions (and other special functions), …
Foliations: Dynamics, Geometry and Topology
Av Masayuki Asaoka, Aziz El Kacimi Alaoui m. fl.
Häftad, 2014
421 kr
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This book is an introduction to several active research topics in Foliation Theory and its connections with other areas. It contains expository lectures showing the diversity of ideas and methods converging in the study of foliations. The lectures by Aziz El Kacimi Alaoui provide an introduction to …
Integral Geometry and Valuations
Av Semyon Alesker, Joseph H.G. Fu m. fl.
Häftad, 2014
281 kr
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In the last years there has been significant progress in the theory of valuations, which in turn has led to important achievements in integral geometry. This book originated from two courses delivered by the authors at the CRM and provides a self-contained introduction to these topics, covering …
Analysis on h-Harmonics and Dunkl Transforms
Häftad, 2015
281 kr
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This book provides an introduction to h-harmonics and Dunkl transforms. These are extensions of the ordinary spherical harmonics and Fourier transforms, in which the usual Lebesgue measure is replaced by a reflection-invariant weighted measure. The authors’ focus is on the analysis side of both …
Sparse Approximation with Bases
Av Vladimir Temlyakov, Sergey Tikhonov
Häftad, 2015
334 kr
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This book systematically presents recent fundamental results on greedy approximation with respect to bases.Motivated by numerous applications, the last decade has seen great successes in studying nonlinear sparse approximation. Recent findings have established that greedy-type algorithms are …
Moduli of Weighted Hyperplane Arrangements
Av Valery Alexeev, Gilberto Bini m. fl.
Häftad, 2015
281 kr
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This book focuses on a large class of geometric objects in moduli theory and provides explicit computations to investigate their families. Concrete examples are developed that take advantage of the intricate interplay between Algebraic Geometry and Combinatorics. Compactifications of moduli spaces …
Compactifying Moduli Spaces
Av Paul Hacking, Radu Laza m. fl.
Häftad, 2016
281 kr
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This book focusses on a large class of objects in moduli theory and provides different perspectives from which compactifications of moduli spaces may be investigated.Three contributions give an insight on particular aspects of moduli problems. In the first of them, various ways to construct and …
Central Configurations, Periodic Orbits, and Hamiltonian Systems
Av Jaume Llibre, Richard Moeckel m. fl.
Häftad, 2015
334 kr
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The notes of this book originate from three series of lectures given at the Centre de Recerca Matemàtica (CRM) in Barcelona. The first one is dedicated to the study of periodic solutions of autonomous differential systems in Rn via the Averaging Theory and was delivered by Jaume Llibre. The second …
Stochastic Integration by Parts and Functional Itô Calculus
Av Vlad Bally, Lucia Caramellino m. fl.
Häftad, 2016
334 kr
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This volume contains lecture notes from the coursesgiven by Vlad Bally and Rama Cont at the Barcelona Summer School on StochasticAnalysis (July 2012).The notes of the course by Vlad Bally, co-authoredwith Lucia Caramellino, develop integration by parts formulas in an abstractsetting, extending …
Geometry and Dynamics of Integrable Systems
Av Alexey Bolsinov, Juan J. Morales-Ruiz m. fl.
Häftad, 2016
281 kr
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Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matemàtica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable …
Geometry and Quantization of Moduli Spaces
Av Vladimir Fock, Andrey Marshakov m. fl.
Häftad, 2017
334 kr
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This volume is based on four advanced courses held at the Centre de Recerca Matemàtica (CRM), Barcelona. It presents both background information and recent developments on selected topics that are experiencing extraordinary growth within the broad research area of geometry and quantization of …
From Lévy-Type Processes to Parabolic SPDEs
Av Davar Khoshnevisan, René Schilling m. fl.
Häftad, 2017
334 kr
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This volume presents the lecture notes from two courses given by Davar Khoshnevisan and René Schilling, respectively, at the second Barcelona Summer School on Stochastic Analysis.René Schilling’s notes are an expanded version of his course on Lévy and Lévy-type processes, the purpose of which is …
Algorithmic and Geometric Topics Around Free Groups and Automorphisms
Av Javier Aramayona, Volker Diekert m. fl.
Häftad, 2017
281 kr
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This volume presents the lecture notes from the authors’ three summer courses offered during the program “Automorphisms of Free Groups: Geometry, Topology, and Dynamics,” held at the Centre de Recerca Matemàtica (CRM) in Bellaterra, Spain. The first two chapters present the basic tools needed, from …
Building Bridges Between Algebra and Topology
Av Wojciech Chachólski, Tobias Dyckerhoff m. fl.
Häftad, 2018
367 kr
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This volume presents an elaborated version of lecture notes for two advanced courses: (Re)Emerging methods in Commutative Algebra and Representation Theory and Building Bridges Between Algebra and Topology, held at the CRM in the spring of 2015.Homological algebra is a rich and ubiquitous area; it …
Crossed Products of C*-Algebras, Topological Dynamics, and Classification
Av Thierry Giordano, David Kerr m. fl.
Häftad, 2018
487 kr
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This book collects the notes of the lectures given at an Advanced Course on Dynamical Systems at the Centre de Recerca Matemàtica (CRM) in Barcelona. The notes consist of four series of lectures.The first one, given by Andrew Toms, presents the basic properties of the Cuntz semigroup and its role …
Combinatorial Matrix Theory
Av Richard A. Brualdi, Ángeles Carmona m. fl.
Häftad, 2018
367 kr
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This book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matemàtica (CRM) in Barcelona. These notes correspond to five series of lectures. The first series is dedicated to the study of several matrix classes defined …
Hyperbolic Cross Approximation
Av Dinh Dũng, Vladimir Temlyakov m. fl.
Häftad, 2018
498 kr
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This book provides a systematic survey of classical and recent results on hyperbolic cross approximation.Motivated by numerous applications, the last two decades have seen great success in studying multivariate approximation. Multivariate problems have proven to be considerably more difficult than …
