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Probability on Matrix-Cone Hypergroups: Limit Theorems and Structural Properties
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W. Hazod
Published/Copyright:
June 9, 2010
Abstract
Recent investigations of M. Rösler [Compos. Math. 143: 749–779, 2007] and M. Voit [J. Theoret. Probab. 22: 741–771, 2009] provide examples of hypergroups with properties similar to the group- or vector space case and with a sufficiently rich structure of automorphisms, providing thus tools to investigate the limit theory of normalized random walks and the structure of the corresponding limit laws. The investigations are parallel to corresponding investigations for vector spaces and simply connected nilpotent Lie groups.
Key words and phrases.: Hypergroup; stability; semistability; self-decomposability; Wishart distribution; Gaussian distribution
Received: 2008-03-05
Revised: 2009-02-11
Published Online: 2010-06-09
Published in Print: 2009-December
© Heldermann Verlag
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- Blow-up for Semidiscretization of a Localized Semilinear Heat Equation
- Probability on Matrix-Cone Hypergroups: Limit Theorems and Structural Properties
- A System of Two Conservation Laws with Flux Conditions and Small Viscosity
- Sandwich Theorems for Certain Subclasses of Analytic Functions Defined by Family of Linear Operators
- Oscillation of Solutions of Second Order Neutral Differential Equations with Positive and Negative Coefficients
Keywords for this article
Hypergroup;
stability;
semistability;
self-decomposability;
Wishart distribution;
Gaussian distribution
Articles in the same Issue
- A New Nonlinear Lagrangian Method for Nonconvex Semidefinite Programming
- Blow-up for Semidiscretization of a Localized Semilinear Heat Equation
- Probability on Matrix-Cone Hypergroups: Limit Theorems and Structural Properties
- A System of Two Conservation Laws with Flux Conditions and Small Viscosity
- Sandwich Theorems for Certain Subclasses of Analytic Functions Defined by Family of Linear Operators
- Oscillation of Solutions of Second Order Neutral Differential Equations with Positive and Negative Coefficients
