The Concentration Function Problem for Locally Compact Groups Revisited : Nondissipating Space-Time Random Walks, τ-Decomposable Laws, and Their Continuous Time Analogues
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-23
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The concentration function problem for locally compact groups is concerned with the structure of groups admitting adapted nondissipating random walks.
It is closely related to discrete relatively compact M- or skew convolution semigroups and corresponding space-time random walks, and to τ-decomposable laws, respectively, where τ denotes an automorphism.
Analogous results are obtained in the case of continuous time: nondissipating Lévy processes are related to relatively compact distributions of generalized Ornstein-Uhlenbeck processes and corresponding space-time processes and to T-decomposable laws, respectively with T=τt denoting a continuous group of automorphisms acting as contracting mod.
a compact subgroup.
American Psychological Association (APA)
Hazod, Wilfried. 2013. The Concentration Function Problem for Locally Compact Groups Revisited : Nondissipating Space-Time Random Walks, τ-Decomposable Laws, and Their Continuous Time Analogues. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-479897
Modern Language Association (MLA)
Hazod, Wilfried. The Concentration Function Problem for Locally Compact Groups Revisited : Nondissipating Space-Time Random Walks, τ-Decomposable Laws, and Their Continuous Time Analogues. Journal of Mathematics No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-479897
American Medical Association (AMA)
Hazod, Wilfried. The Concentration Function Problem for Locally Compact Groups Revisited : Nondissipating Space-Time Random Walks, τ-Decomposable Laws, and Their Continuous Time Analogues. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-479897
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479897