The Concentration Function Problem for Locally Compact Groups Revisited: Nondissipating Space-Time Random Walks, -Decomposable Laws, and Their Continuous Time Analogues
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 -decomposabl...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/540471 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561045416181760 |
|---|---|
| author | Wilfried Hazod |
| author_facet | Wilfried Hazod |
| author_sort | Wilfried Hazod |
| collection | DOAJ |
| description | 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 -decomposable laws, respectively, where 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 -decomposable laws, respectively with denoting a continuous group of automorphisms acting as contracting mod. a compact subgroup. |
| format | Article |
| id | doaj-art-d5f36cc46c5d4e7ba37f16ca0963e9fc |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d5f36cc46c5d4e7ba37f16ca0963e9fc2025-02-03T01:26:05ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/540471540471The Concentration Function Problem for Locally Compact Groups Revisited: Nondissipating Space-Time Random Walks, -Decomposable Laws, and Their Continuous Time AnaloguesWilfried Hazod0Faculty of Mathematics, TU Dortmund University, D-44221 Dortmund, GermanyThe 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 -decomposable laws, respectively, where 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 -decomposable laws, respectively with denoting a continuous group of automorphisms acting as contracting mod. a compact subgroup.http://dx.doi.org/10.1155/2013/540471 |
| spellingShingle | Wilfried Hazod The Concentration Function Problem for Locally Compact Groups Revisited: Nondissipating Space-Time Random Walks, -Decomposable Laws, and Their Continuous Time Analogues Journal of Mathematics |
| title | The Concentration Function Problem for Locally Compact Groups Revisited: Nondissipating Space-Time Random Walks, -Decomposable Laws, and Their Continuous Time Analogues |
| title_full | The Concentration Function Problem for Locally Compact Groups Revisited: Nondissipating Space-Time Random Walks, -Decomposable Laws, and Their Continuous Time Analogues |
| title_fullStr | The Concentration Function Problem for Locally Compact Groups Revisited: Nondissipating Space-Time Random Walks, -Decomposable Laws, and Their Continuous Time Analogues |
| title_full_unstemmed | The Concentration Function Problem for Locally Compact Groups Revisited: Nondissipating Space-Time Random Walks, -Decomposable Laws, and Their Continuous Time Analogues |
| title_short | The Concentration Function Problem for Locally Compact Groups Revisited: Nondissipating Space-Time Random Walks, -Decomposable Laws, and Their Continuous Time Analogues |
| title_sort | concentration function problem for locally compact groups revisited nondissipating space time random walks decomposable laws and their continuous time analogues |
| url | http://dx.doi.org/10.1155/2013/540471 |
| work_keys_str_mv | AT wilfriedhazod theconcentrationfunctionproblemforlocallycompactgroupsrevisitednondissipatingspacetimerandomwalksdecomposablelawsandtheircontinuoustimeanalogues AT wilfriedhazod concentrationfunctionproblemforlocallycompactgroupsrevisitednondissipatingspacetimerandomwalksdecomposablelawsandtheircontinuoustimeanalogues |