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Author: H. Heyer
Publisher: Springer
ISBN: 3540388745
Category : Mathematics
Languages : en
Pages : 599
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Book Description
Author: H. Heyer
Publisher: Springer
ISBN: 3540388745
Category : Mathematics
Languages : en
Pages : 599
Get Book Here
Book Description
Author: Herbert Heyer
Publisher: Springer
ISBN:
Category : Group theory
Languages : en
Pages : 606
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Book Description
Author: H. Heyer
Publisher: Springer
ISBN: 3540354069
Category : Mathematics
Languages : en
Pages : 366
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Book Description
Author: Wilfried Hazod
Publisher: Springer Science & Business Media
ISBN: 940173061X
Category : Mathematics
Languages : en
Pages : 626
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Book Description
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: Springer
ISBN: 9783540514015
Category : Mathematics
Languages : en
Pages : 442
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Book Description
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: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 416
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Book Description
Author: Joel E. Cohen
Publisher: American Mathematical Soc.
ISBN: 082185044X
Category : Mathematics
Languages : en
Pages : 376
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Book Description
Features twenty-six expository papers on random matrices and products of random matrices. This work reflects both theoretical and applied concerns in fields as diverse as computer science, probability theory, mathematical physics, and population biology.
Author: J. L. Dupont
Publisher: Springer
ISBN: 3540385207
Category : Mathematics
Languages : en
Pages : 705
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Book Description
University of Aarhus, 50. Anniversary, 11 September 1978
Author: J.P. Raoult
Publisher: Springer
ISBN: 3540383182
Category : Mathematics
Languages : en
Pages : 184
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Author: M. Kervaire
Publisher: Springer
ISBN: 3540385312
Category : Mathematics
Languages : en
Pages : 284
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Book Description
