| Title:
|
On concentrated probabilities on non locally compact groups (English) |
| Author:
|
Bartoszek, Wojciech |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
3 |
| Year:
|
1996 |
| Pages:
|
635-640 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $G$ be a Polish group with an invariant metric. We characterize those probability measures $\mu$ on $G$ so that there exist a sequence $g_n \in G$ and a compact set $A \subseteq G$ with \, ${\mu}^{*n} (g_n A) \equiv 1$ \, for all $n$. (English) |
| Keyword:
|
concentration function |
| Keyword:
|
random walk |
| Keyword:
|
Markov operator |
| Keyword:
|
invariant measure |
| MSC:
|
22D40 |
| MSC:
|
43A05 |
| MSC:
|
47A35 |
| MSC:
|
60B15 |
| MSC:
|
60J15 |
| idZBL:
|
Zbl 0881.22001 |
| idMR:
|
MR1426928 |
| . |
| Date available:
|
2009-01-08T18:26:46Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118870 |
| . |
| Reference:
|
[1] Bartoszek W.: On concentrated probabilities.Ann. Polon. Math. 61.1 (1995), 25-38. Zbl 0856.22006, MR 1318315 |
| Reference:
|
[2] Bartoszek W.: The structure of random walks on semidirect products.Bull. L'Acad. Pol. Sci. ser. Sci. Math. Astr. & Phys. 43.4 (1995), 277-282. Zbl 0849.22006, MR 1414784 |
| Reference:
|
[3] Csiszár I.: On infinite products of random elements and infinite convolutions of probability distributions on locally compact groups.Z. Wahrsch. Verw. Gebiete 5 (1966), 279-299. MR 0205306 |
| Reference:
|
[4] Jaworski W., Rosenblatt J., Willis G.: Concentration functions in locally compact groups.preprint, 17 pages, 1995. Zbl 0854.43001, MR 1399711 |
| Reference:
|
[5] Parthasarathy K.R.: Introduction to Probability and Measure.New Delhi, 1980. Zbl 1075.28001 |
| Reference:
|
[6] Sine R.: Geometric theory of a single Markov operator.Pacif. J. Math. 27.1 (1968), 155-166. Zbl 0281.60083, MR 0240281 |
| . |
