Authors: | Hazod, Wilfried |
Title: | The concentration function problem for locally compact groups revisited |
Other Titles: | Non-dissipating space-time random walks, tau-decomposable laws and their continuous time analogues |
Language (ISO): | en |
Abstract: | The concentration function problem for locally compact groups, i.e., the structure of groups admitting adapted nondissipating random walks, is closely related to relatively compact M- or skew semigroups and corresponding space-time random walks, resp. to tau-decomposable laws, where tau denotes an automorphism. Analogous results are obtained in the case of continuous time: Non-dissipating Lévy processes are related to relatively compact distributions of generalized Ornstein Uhlenbeck processes and corresponding space-time processes, resp. T-decomposable laws, T =(tau_t) denoting a continuous group of automorphisms acting on groups of the form N = C_K(T). |
URI: | http://hdl.handle.net/2003/27627 http://dx.doi.org/10.17877/DE290R-14581 |
Issue Date: | 2011-02-17 |
Appears in Collections: | Preprints der Fakultät für Mathematik |
Files in This Item:
File | Description | Size | Format | |
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mathematicalPreprint-2011-05.pdf | 427.37 kB | Adobe PDF | View/Open |
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