Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/on-the-asymptotic-behaviour-of-convolution-powers-of-probabilities-on-j0p2gCVMDm
References (8)
-
Peter Gerl (1981)
A Local Central Limit Theorem on Some Groups -
D. Cartwright, P. Soardi (1987)
A local limit theorem for random walks on the Cartesian product of discrete groups, 1
-
N. Th. Varopoulos (1987)
Convolution powers on locally compact groupsBull. Sc. math., 2e série, 111
-
P. Gerl, P. Révész (1981)
The First Pannonian Symposium on Mathematical Statistics -
W. Woess (1986)
Nearest neighbour random walks on free products of discrete groupsBoll. Un. Mat. Ital., 5-B
-
N. Varopoulos (1985)
Isoperimetric inequalities and Markov chainsJournal of Functional Analysis, 63
-
D. Cartwright (1988)
Some examples of random walks on free products of discrete groupsAnnali di Matematica Pura ed Applicata, 151
-
Y. Guivarch (1980)
Conference on Random Walks (Kleebach, 1979)
- Publisher
- Springer Journals
- Copyright
- Copyright © 1989 by Springer-Verlag
- Subject
- Mathematics; Mathematics, general
- ISSN
- 0026-9255
- eISSN
- 1436-5081
- DOI
- 10.1007/BF01517356
- Publisher site
- See Article on Publisher Site
Abstract
We give examples to show that a discrete group can carry two symmetric finitely supported probabilities μ, each satisfying a local limit law µ*n (e~Cσ n n −λ, but for different λ's. This disproves a conjecture ofGerl [3].
Journal
Monatshefte f�r Mathematik – Springer Journals
Published: Apr 4, 2005