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Probability Measures on Groups X
Overview of attention for book
Table of Contents
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Book Overview
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Chapter 1
Homoclinic Points C r -Created under Hypotheses by Probability Measures
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Chapter 2
An Approximate Martingale Convergence Theorem on Locally Compact Abelian Groups
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Chapter 3
Positive Definite Functions and the Lévy Continuity Theorem for Commutative Hypergroups
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Chapter 4
A Hunt-Stein Theorem for Amenable Semigroups
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Chapter 5
Jacobi Polynomials and Related Hypergroup Structures
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Chapter 6
Discrete Time Voter Models: A Class of Stochastic Automata
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Chapter 7
Theoretical and Distributional Aspects of Shape Analysis
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Chapter 8
Speed of Convergence of Transformed Convolution Powers of a Probability Measure on a Compact Connected Group
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Chapter 9
Krawtchouk Polynomials and Finite Probability Theory
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Chapter 10
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
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Chapter 11
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
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Chapter 12
Applications of Symmetry Groups in Markov Processes
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Chapter 13
Classes of Trimeasures: Applications of Harmonic Analysis
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Chapter 14
A Study of Some Stationary Gaussian Processes Indexed by the Homogeneous Tree
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Chapter 15
Semistability and Domains of Attraction on Compact Extensions of Nilpotent Groups
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Chapter 16
Poisson Boundaries of Random Walks on Discrete Solvable Groups
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Chapter 17
The Domain of Normal Attraction of a Stable Probability Measure on a Nilpotent Group
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Chapter 18
Positive Convolution Structures Associated with Quantum Groups
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Chapter 19
Regularity and Singularity of Weakly Stationary Processes Indexed by a Commutative Hypergroup
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Chapter 20
Construction of Quasi Invariant Probability Measures on Some Current Groups of Continuous Sections of a Bundle of Compact Semisimple Lie Groups
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Chapter 21
An Example of a Solvable Lie Group Admitting an Absolutely Continuous Gauss Semigroup with Incomparable Supports
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Chapter 22
Invariant Probability Measures on Compact Right Topological Groups
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Chapter 23
Semigroups, Attractors, and Products of Random Matrices
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Chapter 24
Isometric Operators on L 1 -Algebras of Hypergroups
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Chapter 25
A New Proof of the Central Limit Theorem on Stratified Lie Groups
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Chapter 26
Semigroups in Probability Theory
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Chapter 27
Infinite Convolution of Distributions on Discrete Commutative Semigroups
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Chapter 28
Realization of Unitary q -White Noise on Fock Space
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Chapter 29
Bernstein Polynomials and Random Walks on Hypergroups
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Chapter 30
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
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Chapter 31
A Generalization of Orbital Morphisms of Hypergroups
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Chapter 32
A Complete Invariant of a Locally Compact Group
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Chapter 33
Behaviour at Infinity and Harmonic Functions of Random Walks on Graphs
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Chapter 34
Counterexamples in Algebraic Probability Theory
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Chapter 35
Duality of Commutative Hypergroups
Overall attention for this book and its chapters
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Mentioned by
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Book overview
1. Homoclinic Points C r -Created under Hypotheses by Probability Measures
2. An Approximate Martingale Convergence Theorem on Locally Compact Abelian Groups
3. Positive Definite Functions and the Lévy Continuity Theorem for Commutative Hypergroups
4. A Hunt-Stein Theorem for Amenable Semigroups
5. Jacobi Polynomials and Related Hypergroup Structures
6. Discrete Time Voter Models: A Class of Stochastic Automata
7. Theoretical and Distributional Aspects of Shape Analysis
8. Speed of Convergence of Transformed Convolution Powers of a Probability Measure on a Compact Connected Group
9. Krawtchouk Polynomials and Finite Probability Theory
10. 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
11. 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
12. Applications of Symmetry Groups in Markov Processes
13. Classes of Trimeasures: Applications of Harmonic Analysis
14. A Study of Some Stationary Gaussian Processes Indexed by the Homogeneous Tree
15. Semistability and Domains of Attraction on Compact Extensions of Nilpotent Groups
16. Poisson Boundaries of Random Walks on Discrete Solvable Groups
17. The Domain of Normal Attraction of a Stable Probability Measure on a Nilpotent Group
18. Positive Convolution Structures Associated with Quantum Groups
19. Regularity and Singularity of Weakly Stationary Processes Indexed by a Commutative Hypergroup
20. Construction of Quasi Invariant Probability Measures on Some Current Groups of Continuous Sections of a Bundle of Compact Semisimple Lie Groups
21. An Example of a Solvable Lie Group Admitting an Absolutely Continuous Gauss Semigroup with Incomparable Supports
22. Invariant Probability Measures on Compact Right Topological Groups
23. Semigroups, Attractors, and Products of Random Matrices
24. Isometric Operators on L 1 -Algebras of Hypergroups
25. A New Proof of the Central Limit Theorem on Stratified Lie Groups
26. Semigroups in Probability Theory
27. Infinite Convolution of Distributions on Discrete Commutative Semigroups
28. Realization of Unitary q -White Noise on Fock Space
29. Bernstein Polynomials and Random Walks on Hypergroups
30. 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
31. A Generalization of Orbital Morphisms of Hypergroups
32. A Complete Invariant of a Locally Compact Group
33. Behaviour at Infinity and Harmonic Functions of Random Walks on Graphs
34. Counterexamples in Algebraic Probability Theory
35. Duality of Commutative Hypergroups
Summary
Syllabi
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Université de Mons-Hainaut
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