Probability Measures On Groups X

Author : H. Heyer
Publisher : Springer Science & Business Media
Page : 491 pages
File Size : 45,6 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781489923646

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Probability Measures on Groups X by H. Heyer Pdf

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 : Springer
Page : 599 pages
File Size : 50,6 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540388746

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Probability Measure on Groups VII by H. Heyer Pdf

Author : H. Heyer
Publisher : Springer
Page : 366 pages
File Size : 41,7 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540354062

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Probability Measures on Groups by H. Heyer Pdf

Author : H. Heyer
Publisher : Springer Science & Business Media
Page : 542 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642667060

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Probability Measures on Locally Compact Groups by H. Heyer Pdf

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 : K. R. Parthasarathy
Publisher : Academic Press
Page : 289 pages
File Size : 42,7 Mb
Release : 2014-07-03
Category : Mathematics
ISBN : 9781483225258

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Probability Measures on Metric Spaces by K. R. Parthasarathy Pdf

Probability Measures on Metric Spaces presents the general theory of probability measures in abstract metric spaces. This book deals with complete separable metric groups, locally impact abelian groups, Hilbert spaces, and the spaces of continuous functions. Organized into seven chapters, this book begins with an overview of isomorphism theorem, which states that two Borel subsets of complete separable metric spaces are isomorphic if and only if they have the same cardinality. This text then deals with properties such as tightness, regularity, and perfectness of measures defined on metric spaces. Other chapters consider the arithmetic of probability distributions in topological groups. This book discusses as well the proofs of the classical extension theorems and existence of conditional and regular conditional probabilities in standard Borel spaces. The final chapter deals with the compactness criteria for sets of probability measures and their applications to testing statistical hypotheses. This book is a valuable resource for statisticians.

Author : Herbert Heyer
Publisher : Springer
Page : 397 pages
File Size : 42,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540448525

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Probability Measures on Groups VIII by Herbert Heyer Pdf

Author : Herbert Heyer
Publisher : Springer
Page : 446 pages
File Size : 54,5 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540462064

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Probability Measures on Groups IX by Herbert Heyer Pdf

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 : Herbert Heyer
Publisher : Unknown
Page : 452 pages
File Size : 43,5 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662169851

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Probability Measures on Groups IX by Herbert Heyer Pdf

Author : H. Heyer
Publisher : Unknown
Page : 368 pages
File Size : 43,8 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662186551

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Probability Measures on Groups by H. Heyer Pdf

Author : Anonim
Publisher : Unknown
Page : 520 pages
File Size : 51,8 Mb
Release : 1991
Category : Group theory
ISBN : UOM:39015026535289

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Probability Measures on Groups by Anonim Pdf

Author : Wilfried Hazod,Eberhard Siebert
Publisher : Springer Science & Business Media
Page : 626 pages
File Size : 51,7 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9789401730617

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Stable Probability Measures on Euclidean Spaces and on Locally Compact Groups by Wilfried Hazod,Eberhard Siebert Pdf

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 : Herbert Heyer
Publisher : Unknown
Page : 400 pages
File Size : 46,9 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 3662210312

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Probability Measures on Groups VIII by Herbert Heyer Pdf

Author : Göran Högnäs,Arunava Mukherjea
Publisher : Springer Science & Business Media
Page : 399 pages
File Size : 47,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475723885

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Probability Measures on Semigroups: Convolution Products, Random Walks and Random Matrices by Göran Högnäs,Arunava Mukherjea Pdf

A Scientific American article on chaos, see Crutchfield et al. (1986), illus trates a very persuasive example of recurrence. A painting of Henri Poincare, or rather a digitized version of it, is stretched and cut to produce a mildly distorted image of Poincare. The same procedure is applied to the distorted image and the process is repeated over and over again on the successively more and more blurred images. After a dozen repetitions nothing seems to be left of the original portrait. Miraculously, structured images appear briefly as we continue to apply the distortion procedure to successive images. After 241 iterations the original picture reappears, unchanged! Apparently the pixels of the Poincare portrait were moving about in accor dance with a strictly deterministic rule. More importantly, the set of all pixels, the whole portrait, was transformed by the distortion mechanism. In this exam ple the transformation seems to have been a reversible one since the original was faithfully recreated. It is not very farfetched to introduce a certain amount of randomness and irreversibility in the above example. Think of a random miscoloring of some pixels or of inadvertently giving a pixel the color of its neighbor. The methods in this book are geared towards being applicable to the asymp totics of such transformation processes. The transformations form a semigroup in a natural way; we want to investigate the long-term behavior of random elements of this semigroup.

Author : H. Heyer
Publisher : Springer
Page : 492 pages
File Size : 49,8 Mb
Release : 2006-11-17
Category : Mathematics
ISBN : 9783540392064

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Probability Measures on Groups by H. Heyer Pdf

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Author : Jean Marion,Herbert Heyer
Publisher : World Scientific
Page : 410 pages
File Size : 47,9 Mb
Release : 1998-10-30
Category : Electronic
ISBN : 9789814544849

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Analysis On Infinite-dimensional Lie Groups And Algebras - Proceedings Of The International Colloquium by Jean Marion,Herbert Heyer Pdf

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.