Probability on algebraic structures : AMS Special Session on Probability on Algebraic Structures, March 12-13, 1999, Gainesville, Florida
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Bibliographic Information
Probability on algebraic structures : AMS Special Session on Probability on Algebraic Structures, March 12-13, 1999, Gainesville, Florida
（Contemporary mathematics, v. 261）
American Mathematical Society, c2000
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Includes bibliographical references
Description and Table of Contents
Description
This volume presents results from an AMS Special Session held on the topic in Gainesville (FL). The 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
Lie groups, topological groups: Contractible measures in Levy's measures on Lie groups by S. G. Dani and R. Shah Lie response to signals with noise by P. Feinsilver and R. Schott On shifted convolution powers and concentration functions in locally compact groups by W. Jaworski Embedding infinitely divisible probabilities on subsemigroups of Lie groups by M. McCrudden and S. Walker s-stable semigroups on simply connected step 2-nilpotent Lie groups by D. Neuenschwander Hypergroups: The covariance distribution of a generalized random field over a commutative hypergroup by H. Heyer Levy processes on commutative hypergroups by C. Rentzsch and M. Voit Symmetric cones, Wishart distributions: Symmetric cones as Gelfand pairs: Probabilistic applications by G. Letac Representations of the Wishart distributions by G. Letac and H. Massam Quantum groups, quantum probability: Quantum probability: An historical survey by L. Accardi Levy processes on quantum groups by U. Franz Levy processes on $U_q(\mathfrak{g})$ as infinitely divisible representations by V. K. Dobrev, H.-D. Doebner, U. Franz, and R. Schott Semigroups, matrices, applications: A semigroup approach to the road coloring problem by G. Budzban and A. Mukherjea On some one-dimensional stochastic population models by G. Hognas Three algebraic problems in probability theory by Z. J. Jurek Products of i.i.d. $d \times d$ real matrices: Convergence in direction by A. Mukherjea.
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