Probability Measures on Groups X

Front Matter....Pages i-ix
Homoclinic Points C r -Created under Hypotheses by Probability Measures....Pages 1-9
An Approximate Martingale Convergence Theorem on Locally Compact Abelian Groups....Pages 11-17
Positive Definite Functions and the Lévy Continuity Theorem for Commutative Hypergroups....Pages 19-38
A Hunt-Stein Theorem for Amenable Semigroups....Pages 39-43
Jacobi Polynomials and Related Hypergroup Structures....Pages 45-81
Discrete Time Voter Models: A Class of Stochastic Automata....Pages 83-94
Theoretical and Distributional Aspects of Shape Analysis....Pages 95-116
Speed of Convergence of Transformed Convolution Powers of a Probability Measure on a Compact Connected Group....Pages 117-127
Krawtchouk Polynomials and Finite Probability Theory....Pages 129-135
On Some Multidimensional Integral Transforms and Their Connection with the Theory of Hypergroups / Sur Quelques Transformations Integrales Multidimensionnelles et leur Lien Avec la Theorie des Hypergroupes....Pages 137-144
The Transience Criterion for Semigroups of Probability Measures on a Class of Commutative Hypergroups / Critère de Transience D’un Semi Groupe de Probabilitès sur une Classe D’hypergroupes Commutatifs....Pages 145-154
Applications of Symmetry Groups in Markov Processes....Pages 155-168
Classes of Trimeasures: Applications of Harmonic Analysis....Pages 169-176
A Study of Some Stationary Gaussian Processes Indexed by the Homogeneous Tree....Pages 177-188
Semistability and Domains of Attraction on Compact Extensions of Nilpotent Groups....Pages 189-204
Poisson Boundaries of Random Walks on Discrete Solvable Groups....Pages 205-238
The Domain of Normal Attraction of a Stable Probability Measure on a Nilpotent Group....Pages 239-247
Positive Convolution Structures Associated with Quantum Groups....Pages 249-268
Regularity and Singularity of Weakly Stationary Processes Indexed by a Commutative Hypergroup....Pages 269-278
Construction of Quasi Invariant Probability Measures on Some Current Groups of Continuous Sections of a Bundle of Compact Semisimple Lie Groups....Pages 279-292
An Example of a Solvable Lie Group Admitting an Absolutely Continuous Gauss Semigroup with Incomparable Supports....Pages 293-297
Invariant Probability Measures on Compact Right Topological Groups....Pages 299-302
Semigroups, Attractors, and Products of Random Matrices....Pages 303-313
Isometric Operators on L 1 -Algebras of Hypergroups....Pages 315-328
A New Proof of the Central Limit Theorem on Stratified Lie Groups....Pages 329-336
Semigroups in Probability Theory....Pages 337-363
Infinite Convolution of Distributions on Discrete Commutative Semigroups....Pages 365-376
Realization of Unitary q -White Noise on Fock Space....Pages 377-386
Bernstein Polynomials and Random Walks on Hypergroups....Pages 387-393
Permutation Operators and the Central Limit Theorem Associated with Partial Differential Operators / Operateurs de Permutation et Theoreme de la Centrale Associes a des Operateurs aux Derivees Partielles....Pages 395-424
A Generalization of Orbital Morphisms of Hypergroups....Pages 425-433
A Complete Invariant of a Locally Compact Group....Pages 435-436
Behaviour at Infinity and Harmonic Functions of Random Walks on Graphs....Pages 437-458
Counterexamples in Algebraic Probability Theory....Pages 459-465
Duality of Commutative Hypergroups....Pages 467-488
Back Matter....Pages 489-498