Probabilities on the Heisenberg Group

Probabilities on the Heisenberg Group PDF Author: Daniel Neuenschwander
Publisher: Springer
ISBN: 3540685901
Category : Mathematics
Languages : en
Pages : 146

Get Book Here

Book Description
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

Probabilities on the Heisenberg Group PDF Author: Daniel Neuenschwander
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Computers
Languages : en
Pages : 158

Get Book Here

Book Description
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.

Probabilities on the Heisenberg Group

Probabilities on the Heisenberg Group PDF Author: Daniel Neuenschwander
Publisher: Springer
ISBN: 3540685901
Category : Mathematics
Languages : en
Pages : 146

Get Book Here

Book Description
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

Probabilities on the Heisenberg Group PDF Author: Daniel Neuenschwander
Publisher:
ISBN: 9783662208403
Category :
Languages : en
Pages : 156

Get Book Here

Book Description


Probability Measure on Groups VII

Probability Measure on Groups VII PDF Author: H. Heyer
Publisher: Springer
ISBN: 3540388745
Category : Mathematics
Languages : en
Pages : 599

Get Book Here

Book Description


Probability Measures on Groups VIII

Probability Measures on Groups VIII PDF Author: Herbert Heyer
Publisher: Springer
ISBN: 3540448527
Category : Mathematics
Languages : en
Pages : 397

Get Book Here

Book Description


The Geometry of Heisenberg Groups

The Geometry of Heisenberg Groups PDF Author: Ernst Binz
Publisher: American Mathematical Soc.
ISBN: 0821844954
Category : Mathematics
Languages : en
Pages : 321

Get Book Here

Book Description
"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 Theory and Mathematical Statistics

Probability Theory and Mathematical Statistics PDF Author: B. Grigelionis
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311231932X
Category : Mathematics
Languages : en
Pages : 752

Get Book Here

Book Description
No detailed description available for "Probability Theory and Mathematical Statistics".

Probability Measures on Groups

Probability Measures on Groups PDF Author: H. Heyer
Publisher: Springer
ISBN: 3540392068
Category : Mathematics
Languages : en
Pages : 492

Get Book Here

Book Description
a

Probability Theory on Vector Spaces III

Probability Theory on Vector Spaces III PDF Author: D Szynal
Publisher: Springer
ISBN: 3540389393
Category : Mathematics
Languages : en
Pages : 381

Get Book Here

Book Description


Probability on Algebraic Structures

Probability on Algebraic Structures PDF Author: Gregory Budzban
Publisher: American Mathematical Soc.
ISBN: 0821820273
Category : Mathematics
Languages : en
Pages : 250

Get Book Here

Book Description
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.