Transformation Groups And Invariant Measures
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Transformation Groups And Invariant Measures
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Author : A. B. Kharazishvili
language : en
Publisher: World Scientific
Release Date : 1998
Transformation Groups And Invariant Measures written by A. B. Kharazishvili and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
This book is devoted to some topics of the general theory of invariant and quasi-invariant measures. Such measures are usually defined on various sigma-algebras of subsets of spaces equipped with transformation groups, and there are close relationships between purely algebraic properties of these groups and the corresponding properties of invariant (quasi-invariant) measures. The main goal of the book is to investigate several aspects of those relationships (primarily from the set-theoretical point of view). Also of interest are the properties of some natural classes of sets, important from the viewpoint of the theory of invariant (quasi-invariant) measures.
Invariant Measures On Groups And Their Use In Statistics
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Author : Robert A. Wijsman
language : en
Publisher: IMS
Release Date : 1990
Invariant Measures On Groups And Their Use In Statistics written by Robert A. Wijsman and has been published by IMS this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Locally Compact Transformation Groups And C Algebras
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Author : Edward G. Effros
language : en
Publisher: American Mathematical Soc.
Release Date : 1967
Locally Compact Transformation Groups And C Algebras written by Edward G. Effros and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Algebras, Linear categories.
Decomposition And Invariance Of Measures And Statistical Transformation Models
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Author : Ole E Barndorff-Nielsen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Decomposition And Invariance Of Measures And Statistical Transformation Models written by Ole E Barndorff-Nielsen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Transformation Groups Applied To Mathematical Physics
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Author : Nail H. Ibragimov
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-11-30
Transformation Groups Applied To Mathematical Physics written by Nail H. Ibragimov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-30 with Science categories.
Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then It is that they can't see the problem. one day, perhaps you will find the final question. G.K. Chesterton. The Scandal of Father Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R.van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in - gional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in pack ing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Invariant Measures For Unitary Groups Associated To Kac Moody Lie Algebras
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Author : Doug Pickrell
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Invariant Measures For Unitary Groups Associated To Kac Moody Lie Algebras written by Doug Pickrell and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
The main purpose of this paper is to prove the existence, and in some cases the uniqueness, of unitarily invariant measures on formal completions of groups associated to affine Kac-Moody algebras, and associated homogeneous spaces. The basic invariant measure is a natural generalization of Haar measure for a simply connected compact Lie group, and its projection to flag spaces is a generalization of the normalized invariant volume element. The other ``invariant measures'' are actually measures having values in line bundles over these spaces; these bundle-valued measures heuristically arise from coupling the basic invariant measure to Hermitian structures on associated line bundles, but in this infinite dimensional setting they are generally singular with respect to the basic invariant measure.
Transformation Groups And Representation Theory
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Author : T. Tom Dieck
language : en
Publisher: Springer
Release Date : 2006-11-15
Transformation Groups And Representation Theory written by T. Tom Dieck and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Discrete Groups Expanding Graphs And Invariant Measures
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Author : Alex Lubotzky
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-02-17
Discrete Groups Expanding Graphs And Invariant Measures written by Alex Lubotzky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-17 with Mathematics categories.
In the last ?fteen years two seemingly unrelated problems, one in computer science and the other in measure theory, were solved by amazingly similar techniques from representation theory and from analytic number theory. One problem is the - plicit construction of expanding graphs («expanders»). These are highly connected sparse graphs whose existence can be easily demonstrated but whose explicit c- struction turns out to be a dif?cult task. Since expanders serve as basic building blocks for various distributed networks, an explicit construction is highly des- able. The other problem is one posed by Ruziewicz about seventy years ago and studied by Banach [Ba]. It asks whether the Lebesgue measure is the only ?nitely additive measure of total measure one, de?ned on the Lebesgue subsets of the n-dimensional sphere and invariant under all rotations. The two problems seem, at ?rst glance, totally unrelated. It is therefore so- what surprising that both problems were solved using similar methods: initially, Kazhdan’s property (T) from representation theory of semi-simple Lie groups was applied in both cases to achieve partial results, and later on, both problems were solved using the (proved) Ramanujan conjecture from the theory of automorphic forms. The fact that representation theory and automorphic forms have anything to do with these problems is a surprise and a hint as well that the two questions are strongly related.
Discrete Groups Expanding Graphs And Invariant Measures
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Author : Alexander Lubotzky
language : en
Publisher:
Release Date : 1989
Discrete Groups Expanding Graphs And Invariant Measures written by Alexander Lubotzky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Seminar On Transformation Groups Am 46 Volume 46
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Author : Armand Borel
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Seminar On Transformation Groups Am 46 Volume 46 written by Armand Borel and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.
The description for this book, Seminar on Transformation Groups. (AM-46), Volume 46, will be forthcoming.