Contemporary Mathematics 2000; 238 pp; softcover Volume: 261 ISBN10: 0821820273 ISBN13: 9780821820278 List Price: US$68 Member Price: US$54.40 Order Code: CONM/261
 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 wellknown specialists who offer an important crosssection of current work in the field. In addition there are two expository papers that provide an avenue for nonspecialists 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. Readership Graduate students and research mathematicians interested in probability, topology, functional analysis, and group theory. Table of Contents Lie groups, topological groups  S. G. Dani and R. Shah  Contractible measures in Levy's measures on Lie groups
 P. Feinsilver and R. Schott  Lie response to signals with noise
 W. Jaworski  On shifted convolution powers and concentration functions in locally compact groups
 M. McCrudden and S. Walker  Embedding infinitely divisible probabilities on subsemigroups of Lie groups
 D. Neuenschwander  sstable semigroups on simply connected step 2nilpotent Lie groups
Hypergroups  H. Heyer  The covariance distribution of a generalized random field over a commutative hypergroup
 C. Rentzsch and M. Voit  Lévy processes on commutative hypergroups
Symmetric cones, Wishart distributions  G. Letac  Symmetric cones as Gelfand pairs: Probabilistic applications
 G. Letac and H. Massam  Representations of the Wishart distributions
Quantum groups, quantum probability  L. Accardi  Quantum probability: An historical survey
 U. Franz  Lévy processes on quantum groups
 V. K. Dobrev, H.D. Doebner, U. Franz, and R. Schott  Lévy processes on \(U_q(\mathfrak{g})\) as infinitely divisible representations
Semigroups, matrices, applications  G. Budzban and A. Mukherjea  A semigroup approach to the road coloring problem
 G. Högnäs  On some onedimensional stochastic population models
 Z. J. Jurek  Three algebraic problems in probability theory
 A. Mukherjea  Products of i.i.d. \(d \times d\) real matrices: Convergence in direction
