Probabilities On The Heisenberg Group
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Probabilities On The Heisenberg Group
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Author : Daniel Neuenschwander
language : en
Publisher: Springer
Release Date : 2006-11-14
Probabilities On The Heisenberg Group written by Daniel Neuenschwander and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The Heisenberg group comes from quantum mechanics and is the simplest non-commutative Lie group. While it belongs to the class of simply connected nilpotent Lie groups, it turns out that its special structure yields many results which (up to now) have not carried over to this larger class. This book is a survey of probabilistic results on the Heisenberg group. The emphasis lies on limit theorems and their relation to Brownian motion. Besides classical probability tools, non-commutative Fourier analysis and functional analysis (operator semigroups) comes in. The book is intended for probabilists and analysts interested in Lie groups, but given the many applications of the Heisenberg group, it will also be useful for theoretical phycisists specialized in quantum mechanics and for engineers.
Probabilities On The Heisenberg Group
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Author : Daniel Neuenschwander
language : en
Publisher:
Release Date : 2014-09-01
Probabilities On The Heisenberg Group written by Daniel Neuenschwander and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Probabilities On The Heisenberg Group
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Author : Daniel Neuenschwander
language : en
Publisher: Lecture Notes in Mathematics
Release Date : 1996-08-19
Probabilities On The Heisenberg Group written by Daniel Neuenschwander and has been published by Lecture Notes in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-08-19 with Computers categories.
This volume constitutes the proceedings of the Third International Workshop of the European Association for Machine Translation, held in Heidelberg, Germany in April 1993. The EAMT Workshops traditionally aim at bringing together researchers, developers, users, and others interested in the field of machine or computer-assisted translation research, development and use. The volume presents thoroughly revised versions of the 15 best workshop contributions together with an introductory survey by the volume editor. The presentations are centered primarily on questions of acquiring, sharing, and managing lexical data, but also address aspects of lexical description.
Probability Measure On Groups Vii
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Author : H. Heyer
language : en
Publisher: Springer
Release Date : 2006-11-14
Probability Measure On Groups Vii written by H. Heyer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Probability Measures On Groups Viii
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Author : Herbert Heyer
language : en
Publisher: Springer
Release Date : 2006-11-14
Probability Measures On Groups Viii written by Herbert Heyer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Stable Probability Measures On Euclidean Spaces And On Locally Compact Groups
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Author : Wilfried Hazod
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Stable Probability Measures On Euclidean Spaces And On Locally Compact Groups written by Wilfried Hazod 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 2013-03-14 with Mathematics categories.
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.
The Geometry Of Heisenberg Groups
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Author : Ernst Binz
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
The Geometry Of Heisenberg Groups written by Ernst Binz 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 2008 with Mathematics categories.
"The three-dimensional Heisenberg group, being a quite simple non-commutative Lie group, appears prominently in various applications of mathematics. The goal of this book is to present basic geometric and algebraic properties of the Heisenberg group and its relation to other important mathematical structures (the skew field of quaternions, symplectic structures, and representations) and to describe some of its applications. In particular, the authors address such subjects as signal analysis and processing, geometric optics, and quantization. In each case, the authors present necessary details of the applied topic being considered." "This book manages to encompass a large variety of topics being easily accessible in its fundamentals. It can be useful to students and researchers working in mathematics and in applied mathematics."--BOOK JACKET.
Probability On Algebraic Structures
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Author : Gregory Budzban
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Probability On Algebraic Structures written by Gregory Budzban 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.
This volume presents results from an AMS Special Session held on the topic in Gainesville (FL). Papers included are written by an international group of well-known specialists who offer an important cross-section of current work in the field. In addition there are two expository papers that provide an avenue for non-specialists to comprehend problems in this area. The breadth of research in this area is evident by the variety of articles presented in the volume. Results concern probability on Lie groups and general locally compact groups. Generalizations of groups appear as hypergroups, abstract semigroups, and semigroups of matrices. Work on symmetric cones is included. Lastly, there are a number of articles on the current progress in constructing stochastic processes on quantum groups.
Probability Theory On Vector Spaces Iv
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Author : Stamatis Cambanis
language : en
Publisher: Springer
Release Date : 2006-11-14
Probability Theory On Vector Spaces Iv written by Stamatis Cambanis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Analysis On Infinite Dimensional Lie Groups And Algebras Proceedings Of The International Colloquium
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Author : Jean Marion
language : en
Publisher: World Scientific
Release Date : 1998-10-30
Analysis On Infinite Dimensional Lie Groups And Algebras Proceedings Of The International Colloquium written by Jean Marion and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-30 with categories.
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.