This textbook contains the lecture series originally delivered at the "e;Advanced Course on Limit Cycles of Differential Equations"e; in the Centre de Recerca Matematica Barcelona in 2006.The topics covered are the center-focus problem for po...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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 Matematica (CRM) from March 13 to March 17, 2017. The notes consist of three ser...Lasīt vairāk
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,...Lasīt vairāk
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 h...Lasīt vairāk
This book collects the notes of the lectures given at an Advanced Course on Dynamical Systems at the Centre de Recerca Matematica (CRM) in Barcelona. The notes consist of four series of lectures.The first one, given by Andrew Toms, presents the basic...Lasīt vairāk
This book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matematica (CRM) in Barcelona. These notes correspond to five series of lectures. The first series is dedicated to t...Lasīt vairāk
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...Lasīt vairāk
This volume presents the lecture notes from the authors three summer courses offered during the program "e;Automorphisms of Free Groups: Geometry, Topology, and Dynamics,"e; held at the Centre de Recerca Matematica (CRM) in Bellaterra, Spain...Lasīt vairāk
Vladimir Fock, Andrey Marshakov, Florent Schaffhauser, Constantin Teleman, Richard Wentworth, Luis Alvarez Consul, Jųrgen Ellegaard Andersen, Ignasi Mundet i Riera
Sērija : Advanced Courses in Mathematics - CRM Barcelona
This volume is based on four advanced courses held at the Centre de Recerca Matematica (CRM), Barcelona. It presents both background information and recent developments on selected topics that are experiencing extraordinary growth within the broad re...Lasīt vairāk
This volume presents the lecture notes from two courses given by Davar Khoshnevisan and Rene Schilling, respectively, at the second Barcelona Summer School on Stochastic Analysis.Rene Schillings notes are an expanded version of his course on Levy an...Lasīt vairāk
Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matematica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory...Lasīt vairāk
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 par...Lasīt vairāk
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 t...Lasīt vairāk
The notes of this book originate from three series of lectures given at the Centre de Recerca Matematica (CRM) in Barcelona. The first one is dedicated to the study of periodic solutions of autonomous differential systems in Rn via the Averaging Theo...Lasīt vairāk
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 C...Lasīt vairāk
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. T...Lasīt vairāk
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 e...Lasīt vairāk
?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...Lasīt vairāk
