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Author : Xavier Fernique
Publisher :
ISBN 13 : 9783662214374
Total Pages : 136 pages
Book Rating : 4.2/5 (143 download)
Download or read book Geometrical and Statistical Aspects of Probability in Banach Spaces written by Xavier Fernique and published by . This book was released on 2014-01-15 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Xavier Fernique
Publisher : Springer
ISBN 13 : 3540398260
Total Pages : 133 pages
Book Rating : 4.5/5 (43 download)
Download or read book Geometrical and Statistical Aspects of Probability in Banach Spaces written by Xavier Fernique and published by Springer. This book was released on 2006-11-14 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Xavier Fermique
Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (11 download)
Download or read book Geometrical and Statistical Aspects of Probability in Banach Spaces written by Xavier Fermique and published by . This book was released on 1986 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 : 9780387164878
Total Pages : 0 pages
Book Rating : 4.1/5 (648 download)
Download or read book Geometrical and Statistical Aspects of Probability in Banach Spaces written by and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 : 9780387164878
Total Pages : pages
Book Rating : 4.1/5 (648 download)
Download or read book Geometrical and Statistical Aspects of Probability in Banach Spaces written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michel Ledoux
Publisher : Springer Science & Business Media
ISBN 13 : 3642202128
Total Pages : 493 pages
Book Rating : 4.6/5 (422 download)
Download or read book Probability in Banach Spaces written by Michel Ledoux and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed.
Author : V.V. Buldygin
Publisher : Springer Science & Business Media
ISBN 13 : 9401716870
Total Pages : 314 pages
Book Rating : 4.4/5 (17 download)
Download or read book Geometric Aspects of Probability Theory and Mathematical Statistics written by V.V. Buldygin and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that contemporary mathematics includes many disci plines. Among them the most important are: set theory, algebra, topology, geometry, functional analysis, probability theory, the theory of differential equations and some others. Furthermore, every mathematical discipline consists of several large sections in which specific problems are investigated and the corresponding technique is developed. For example, in general topology we have the following extensive chap ters: the theory of compact extensions of topological spaces, the theory of continuous mappings, cardinal-valued characteristics of topological spaces, the theory of set-valued (multi-valued) mappings, etc. Modern algebra is featured by the following domains: linear algebra, group theory, the theory of rings, universal algebras, lattice theory, category theory, and so on. Concerning modern probability theory, we can easily see that the clas sification of its domains is much more extensive: measure theory on ab stract spaces, Borel and cylindrical measures in infinite-dimensional vector spaces, classical limit theorems, ergodic theory, general stochastic processes, Markov processes, stochastical equations, mathematical statistics, informa tion theory and many others.
Author : R.M. Dudley
Publisher : Springer Science & Business Media
ISBN 13 : 1461203678
Total Pages : 512 pages
Book Rating : 4.4/5 (612 download)
Download or read book Probability in Banach Spaces, 8: Proceedings of the Eighth International Conference written by R.M. Dudley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability limit theorems in infinite-dimensional spaces give conditions un der which convergence holds uniformly over an infinite class of sets or functions. Early results in this direction were the Glivenko-Cantelli, Kolmogorov-Smirnov and Donsker theorems for empirical distribution functions. Already in these cases there is convergence in Banach spaces that are not only infinite-dimensional but nonsep arable. But the theory in such spaces developed slowly until the late 1970's. Meanwhile, work on probability in separable Banach spaces, in relation with the geometry of those spaces, began in the 1950's and developed strongly in the 1960's and 70's. We have in mind here also work on sample continuity and boundedness of Gaussian processes and random methods in harmonic analysis. By the mid-70's a substantial theory was in place, including sharp infinite-dimensional limit theorems under either metric entropy or geometric conditions. Then, modern empirical process theory began to develop, where the collection of half-lines in the line has been replaced by much more general collections of sets in and functions on multidimensional spaces. Many of the main ideas from probability in separable Banach spaces turned out to have one or more useful analogues for empirical processes. Tightness became "asymptotic equicontinuity. " Metric entropy remained useful but also was adapted to metric entropy with bracketing, random entropies, and Kolchinskii-Pollard entropy. Even norms themselves were in some situations replaced by measurable majorants, to which the well-developed separable theory then carried over straightforwardly.
Author : Jorgen Hoffmann-Jorgensen
Publisher : Springer Science & Business Media
ISBN 13 : 1461202531
Total Pages : 422 pages
Book Rating : 4.4/5 (612 download)
Download or read book Probability in Banach Spaces, 9 written by Jorgen Hoffmann-Jorgensen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers contained in this volume are an indication of the topics th discussed and the interests of the participants of The 9 International Conference on Probability in Banach Spaces, held at Sandjberg, Denmark, August 16-21, 1993. A glance at the table of contents indicates the broad range of topics covered at this conference. What defines research in this field is not so much the topics considered but the generality of the ques tions that are asked. The goal is to examine the behavior of large classes of stochastic processes and to describe it in terms of a few simple prop erties that the processes share. The reward of research like this is that occasionally one can gain deep insight, even about familiar processes, by stripping away details, that in hindsight turn out to be extraneous. A good understanding about the disciplines involved in this field can be obtained from the recent book, Probability in Banach Spaces, Springer-Verlag, by M. Ledoux and M. Thlagrand. On page 5, of this book, there is a list of previous conferences in probability in Banach spaces, including the other eight international conferences. One can see that research in this field over the last twenty years has contributed significantly to knowledge in probability and has had important applications in many other branches of mathematics, most notably in statistics and functional analysis.
Author : Michel LeDoux
Publisher : Springer
ISBN 13 : 9783642202131
Total Pages : 500 pages
Book Rating : 4.2/5 (21 download)
Download or read book Probability in Banach Spaces written by Michel LeDoux and published by Springer. This book was released on 2014-01-15 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on recent developments, such as new isoperimetric inequalities and random process techniques, this book presents a thorough treatment of the main aspects of Probability in Banach spaces, and of some of their links to Geometry of Banach spaces.
Author : Yurij I. Manin
Publisher : Springer
ISBN 13 : 3540480161
Total Pages : 406 pages
Book Rating : 4.5/5 (44 download)
Download or read book K-Theory, Arithmetic and Geometry written by Yurij I. Manin and published by Springer. This book was released on 2006-11-15 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to K-theory, homological algebra and algebraic geometry. The main topics discussed include additive K-theory, cyclic cohomology, mixed Hodge structures, theory of Virasoro and Neveu-Schwarz algebras.
Author : Oleg Y. Viro
Publisher : Springer
ISBN 13 : 3540459588
Total Pages : 582 pages
Book Rating : 4.5/5 (44 download)
Download or read book Topology and Geometry - Rohlin Seminar written by Oleg Y. Viro and published by Springer. This book was released on 2006-11-14 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of papers dedicated to the memory of V. A. Rohlin (1919-1984) - an outstanding mathematician and the founder of the Leningrad topological school. It includes survey and research papers on topology of manifolds, topological aspects of the theory of complex and real algebraic varieties, topology of projective configuration spaces and spaces of convex polytopes.
Author : Toshikazu Sunada
Publisher : Springer
ISBN 13 : 3540459308
Total Pages : 290 pages
Book Rating : 4.5/5 (44 download)
Download or read book Geometry and Analysis on Manifolds written by Toshikazu Sunada and published by Springer. This book was released on 2006-11-14 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Taniguchi Symposium on global analysis on manifolds focused mainly on the relationships between some geometric structures of manifolds and analysis, especially spectral analysis on noncompact manifolds. Included in the present volume are expanded versions of most of the invited lectures. In these original research articles, the reader will find up-to date accounts of the subject.
Author : Heinz Hopf
Publisher : Springer
ISBN 13 : 3540394826
Total Pages : 192 pages
Book Rating : 4.5/5 (43 download)
Download or read book Differential Geometry in the Large written by Heinz Hopf and published by Springer. This book was released on 2003-07-01 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes consist of two parts: Selected in York 1) Geometry, New 1946, Topics University Notes Peter Lax. by Differential in the 2) Lectures on Stanford Geometry Large, 1956, Notes J.W. University by Gray. are here with no essential They reproduced change. Heinz was a mathematician who mathema- Hopf recognized important tical ideas and new mathematical cases. In the phenomena through special the central idea the of a or difficulty problem simplest background is becomes clear. in this fashion a crystal Doing geometry usually lead serious allows this to to - joy. Hopf's great insight approach for most of the in these notes have become the st- thematics, topics I will to mention a of further try ting-points important developments. few. It is clear from these notes that laid the on Hopf emphasis po- differential Most of the results in smooth differ- hedral geometry. whose is both t1al have understanding geometry polyhedral counterparts, works I wish to mention and recent important challenging. Among those of Robert on which is much in the Connelly rigidity, very spirit R. and in - of these notes (cf. Connelly, Conjectures questions open International of Mathematicians, H- of gidity, Proceedings Congress sinki vol. 1, 407-414) 1978, .
Author : Giorgio Talenti
Publisher : Springer
ISBN 13 : 354047353X
Total Pages : 214 pages
Book Rating : 4.5/5 (44 download)
Download or read book Inverse Problems written by Giorgio Talenti and published by Springer. This book was released on 2006-11-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sebastian S. Koh
Publisher : Springer
ISBN 13 : 3540479082
Total Pages : 111 pages
Book Rating : 4.5/5 (44 download)
Download or read book Invariant Theory written by Sebastian S. Koh and published by Springer. This book was released on 2006-11-15 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of expository papers is the outgrowth of a conference in combinatorics and invariant theory. In recent years, newly developed techniques from algebraic geometry and combinatorics have been applied with great success to some of the outstanding problems of invariant theory, moving it back to the forefront of mathematical research once again. This collection of papers centers on constructive aspects of invariant theory and opens with an introduction to the subject by F. Grosshans. Its purpose is to make the current research more accesssible to mathematicians in related fields.
Author : Giorgio Letta
Publisher : Springer
ISBN 13 : 3540409556
Total Pages : 293 pages
Book Rating : 4.5/5 (44 download)
Download or read book Probability and Analysis written by Giorgio Letta and published by Springer. This book was released on 2006-11-14 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures Given at the 1st 1985 Session of the Centro Internazionale Matematico Estivo, (CIME)
