**Contemporary Mathematics**

Volume: 261;
2000;
238 pp;
Softcover

MSC: Primary 60;
Secondary 43; 81

Print ISBN: 978-0-8218-2027-8

Product Code: CONM/261

List Price: $72.00

Individual Member Price: $57.60

**Electronic ISBN: 978-0-8218-7851-4
Product Code: CONM/261.E**

List Price: $72.00

Individual Member Price: $57.60

# Probability on Algebraic Structures

Share this page *Edited by *
*Gregory Budzban; Philip Feinsilver; Arunava Mukherjea*

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.

#### Table of Contents

# Table of Contents

## Probability on Algebraic Structures

- Contents vii8 free
- I. Lie Groups, Topological Groups 112 free
- Contractible Measures and Levy's Measures on Lie Groups 314
- Lie Response to Signals with Noise 1526
- On Shifted Convolution Powers and Concentration Functions in Locally Compact Groups 2334
- Embedding Infinitely Divisible Probabilities on Subsemigroups of Lie Groups 4354
- s-stable Semigroups on Simply Connected Step 2-nilpotent Lie Groups 5970

- II. Hypergroups 7182
- III. Symmetric Cones, Wishart Distributions 107118
- IV. Quantum Groups, Quantum Probability 143154
- V. Semigroups, Matrices, Applications 193204

#### Readership

Graduate students and research mathematicians interested in probability, topology, functional analysis, and group theory.