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Author : Herbert Heyer
Publisher : Springer
ISBN 13 : 3540448527
Total Pages : 397 pages
Book Rating : 4.5/5 (44 download)
Download or read book Probability Measures on Groups VIII written by Herbert Heyer and published by Springer. This book was released on 2006-11-14 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Herbert Heyer
Publisher :
ISBN 13 : 9783662210314
Total Pages : 400 pages
Book Rating : 4.2/5 (13 download)
Download or read book Probability Measures on Groups VIII written by Herbert Heyer and published by . This book was released on 2014-09-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.3/5 (91 download)
Download or read book Probability Measures on Groups written by and published by . This book was released on 1991 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Heyer
Publisher : Springer
ISBN 13 : 3540354069
Total Pages : 366 pages
Book Rating : 4.5/5 (43 download)
Download or read book Probability Measures on Groups written by H. Heyer and published by Springer. This book was released on 2006-11-15 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Heyer
Publisher : Springer Science & Business Media
ISBN 13 : 1489923640
Total Pages : 491 pages
Book Rating : 4.4/5 (899 download)
Download or read book Probability Measures on Groups X written by H. Heyer and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume contains the transactions of the lOth Oberwolfach Conference on "Probability Measures on Groups". The series of these meetings inaugurated in 1970 by L. Schmetterer and the editor is devoted to an intensive exchange of ideas on a subject which developed from the relations between various topics of mathematics: measure theory, probability theory, group theory, harmonic analysis, special functions, partial differential operators, quantum stochastics, just to name the most significant ones. Over the years the fruitful interplay broadened in various directions: new group-related structures such as convolution algebras, generalized translation spaces, hypercomplex systems, and hypergroups arose from generalizations as well as from applications, and a gradual refinement of the combinatorial, Banach-algebraic and Fourier analytic methods led to more precise insights into the theory. In a period of highest specialization in scientific thought the separated minds should be reunited by actively emphasizing similarities, analogies and coincidences between ideas in their fields of research. Although there is no real separation between one field and another - David Hilbert denied even the existence of any difference between pure and applied mathematics - bridges between probability theory on one side and algebra, topology and geometry on the other side remain absolutely necessary. They provide a favorable ground for the communication between apparently disjoint research groups and motivate the framework of what is nowadays called "Structural probability theory".
Author : H. Heyer
Publisher :
ISBN 13 : 9783662185094
Total Pages : 492 pages
Book Rating : 4.1/5 (85 download)
Download or read book Probability Measures on Groups written by H. Heyer and published by . This book was released on 2014-01-15 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Herbert Heyer
Publisher : Springer
ISBN 13 : 3540462066
Total Pages : 446 pages
Book Rating : 4.5/5 (44 download)
Download or read book Probability Measures on Groups IX written by Herbert Heyer and published by Springer. This book was released on 2006-11-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest in this series of Oberwolfach conferences focussed on the interplay between structural probability theory and various other areas of pure and applied mathematics such as Tauberian theory, infinite-dimensional rotation groups, central limit theorems, harmonizable processes, and spherical data. Thus it was attended by mathematicians whose research interests range from number theory to quantum physics in conjunction with structural properties of probabilistic phenomena. This volume contains 5 survey articles submitted on special invitation and 25 original research papers.
Author : Vladimir V. Kalashnikov
Publisher : Springer
ISBN 13 : 3540476458
Total Pages : 238 pages
Book Rating : 4.5/5 (44 download)
Download or read book Stability Problems for Stochastic Models written by Vladimir V. Kalashnikov and published by Springer. This book was released on 2006-11-15 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this book is a new direction in the field of probability theory and mathematical statistics which can be called "stability theory": it deals with evaluating the effects of perturbing initial probabilistic models and embraces quite varied subtopics: limit theorems, queueing models, statistical inference, probability metrics, etc. The contributions are original research articles developing new ideas and methods of stability analysis.
Author : John Christopher Taylor
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870242
Total Pages : 220 pages
Book Rating : 4.8/5 (72 download)
Download or read book Topics in Probability and Lie Groups written by John Christopher Taylor and published by American Mathematical Soc.. This book was released on with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is comprised of two parts: the first contains articles by S. N. Evans, F. Ledrappier, and Figa-Talomanaca. These articles arose from a Centre de Recherches de Mathematiques (CRM) seminar entitiled, ''Topics in Probability on Lie Groups: Boundary Theory''. Evans gives a synthesis of his pre-1992 work on Gaussian measures on vector spaces over a local field. Ledrappier uses the freegroup on $d$ generators as a paradigm for results on the asymptotic properties of random walks and harmonic measures on the Martin boundary. These articles are followed by a case study by Figa-Talamanca using Gelfand pairs to study a diffusion on a compact ultrametric space. The second part of the book is an appendix to the book Compactifications of Symmetric Spaces (Birkhauser) by Y. Guivarc'h and J. C. Taylor. This appendix consists of an article by each author and presents the contents of this book in a more algebraic way. L. Ji and J.-P. Anker simplifies some of their results on the asymptotics of the Green function that were used to compute Martin boundaries. And Taylor gives a self-contained account of Martin boundary theory for manifolds using the theory of second order strictly elliptic partial differential operators.
Author : Wilfried Hazod
Publisher : Springer Science & Business Media
ISBN 13 : 940173061X
Total Pages : 626 pages
Book Rating : 4.4/5 (17 download)
Download or read book Stable Probability Measures on Euclidean Spaces and on Locally Compact Groups written by Wilfried Hazod and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalising classical concepts of probability theory, the investigation of operator (semi)-stable laws as possible limit distributions of operator-normalized sums of i.i.d. random variable on finite-dimensional vector space started in 1969. Currently, this theory is still in progress and promises interesting applications. Parallel to this, similar stability concepts for probabilities on groups were developed during recent decades. It turns out that the existence of suitable limit distributions has a strong impact on the structure of both the normalizing automorphisms and the underlying group. Indeed, investigations in limit laws led to contractable groups and - at least within the class of connected groups - to homogeneous groups, in particular to groups that are topologically isomorphic to a vector space. Moreover, it has been shown that (semi)-stable measures on groups have a vector space counterpart and vice versa. The purpose of this book is to describe the structure of limit laws and the limit behaviour of normalized i.i.d. random variables on groups and on finite-dimensional vector spaces from a common point of view. This will also shed a new light on the classical situation. Chapter 1 provides an introduction to stability problems on vector spaces. Chapter II is concerned with parallel investigations for homogeneous groups and in Chapter III the situation beyond homogeneous Lie groups is treated. Throughout, emphasis is laid on the description of features common to the group- and vector space situation. Chapter I can be understood by graduate students with some background knowledge in infinite divisibility. Readers of Chapters II and III are assumed to be familiar with basic techniques from probability theory on locally compact groups.
Author : Jean Marion
Publisher : World Scientific
ISBN 13 : 9814544841
Total Pages : 410 pages
Book Rating : 4.8/5 (145 download)
Download or read book Analysis On Infinite-dimensional Lie Groups And Algebras - Proceedings Of The International Colloquium written by Jean Marion and published by World Scientific. This book was released on 1998-10-30 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume can be considered as a monograph on the state-of-the-art in the wide range of analysis on infinite-dimensional algebraic-topological structures. Topics covered in this volume include integrability and regularity for Lie groups and Lie algebras, actions of infinite-dimensional Lie groups on manifolds of paths and related minimal orbits, quasi-invariant measures, white noise analysis, harmonic analysis on generalized convolution structures, and noncommutative geometry. A special feature of this volume is the interrelationship between problems of pure and applied mathematics and also between mathematics and physics.
Author :
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (258 download)
Download or read book Probability measures on groups written by and published by . This book was released on 1979 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Heyer
Publisher : Springer Science & Business Media
ISBN 13 : 3642667066
Total Pages : 542 pages
Book Rating : 4.6/5 (426 download)
Download or read book Probability Measures on Locally Compact Groups written by H. Heyer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability measures on algebraic-topological structures such as topological semi groups, groups, and vector spaces have become of increasing importance in recent years for probabilists interested in the structural aspects of the theory as well as for analysts aiming at applications within the scope of probability theory. In order to obtain a natural framework for a first systematic presentation of the most developed part of the work done in the field we restrict ourselves to prob ability measures on locally compact groups. At the same time we stress the non Abelian aspect. Thus the book is concerned with a set of problems which can be regarded either from the probabilistic or from the harmonic-analytic point of view. In fact, it seems to be the synthesis of these two viewpoints, the initial inspiration coming from probability and the refined techniques from harmonic analysis which made this newly established subject so fascinating. The goal of the presentation is to give a fairly complete treatment of the central limit problem for probability measures on a locally compact group. In analogy to the classical theory the discussion is centered around the infinitely divisible probability measures on the group and their relationship to the convergence of infinitesimal triangular systems.
Author : Tullio Ceccherini-Silberstein
Publisher : Cambridge University Press
ISBN 13 : 1316604403
Total Pages : 539 pages
Book Rating : 4.3/5 (166 download)
Download or read book Groups, Graphs and Random Walks written by Tullio Ceccherini-Silberstein and published by Cambridge University Press. This book was released on 2017-06-29 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date, panoramic account of the theory of random walks on groups and graphs, outlining connections with various mathematical fields.
Author : Herbert Heyer
Publisher :
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.:/5 (636 download)
Download or read book Probability Measures on Groups written by Herbert Heyer and published by . This book was released on 1986 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wolfgang Woess
Publisher : Cambridge University Press
ISBN 13 : 0521552923
Total Pages : 350 pages
Book Rating : 4.5/5 (215 download)
Download or read book Random Walks on Infinite Graphs and Groups written by Wolfgang Woess and published by Cambridge University Press. This book was released on 2000-02-13 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure theory. The author considers Markov chains whose state space is equipped with the structure of an infinite, locally finite graph, or as a particular case, of a finitely generated group. The transition probabilities are assumed to be adapted to the underlying structure in some way that must be specified precisely in each case. From the probabilistic viewpoint, the question is what impact the particular type of structure has on various aspects of the behaviour of the random walk. Vice-versa, random walks may also be seen as useful tools for classifying, or at least describing the structure of graphs and groups. Links with spectral theory and discrete potential theory are also discussed. This book will be essential reading for all researchers working in stochastic process and related topics.
Author : Herbert Heyer
Publisher :
ISBN 13 : 9783662169858
Total Pages : 452 pages
Book Rating : 4.1/5 (698 download)
Download or read book Probability Measures on Groups IX written by Herbert Heyer and published by . This book was released on 2014-01-15 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
