Probability on Algebraic Structures.

Intro -- Contents -- I. Lie Groups, Topological Groups -- Contractible Measures and Levy's Measures on Lie Groups -- Lie Response to Signals with Noise -- On Shifted Convolution Powers and Concentration Functions in Locally Compact Groups -- Embedding Infinitely Divisible Probabilities on Subsemigroups of Lie Groups -- s-stable Semigroups on Simply Connected Step 2-nilpotent Lie Groups -- II. Hypergroups -- The Covariance Distribution of a Generalized Random Field Over a Commutative Hypergroup -- Lévy Processes on Commutative Hypergroups -- III. Symmetric Cones, Wishart Distributions -- Symmetric Cones as Gelfand Pairs: Probabilistic Applications -- Representations of the Wishart Distributions -- IV. Quantum Groups, Quantum Probability -- Quantum Probability: An Historical Survey -- Lévy Processes on Quantum Groups -- Lévy Processes on Uq(g) as Infinitely Divisible Representations -- V. Semigroups, Matrices, Applications -- A Semigroup Approach to the Road Coloring Problem -- On Some One-Dimensional Stochastic Population Models -- Three Algebraic Problems in Probability Theory -- Products of I.I.D. d x d Real Matrices: Convergence in Direction.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.