34 citations
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- Institut de recherche mathématique de RennesFR1 paper
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4 papers · 1 filter
Matrix random products with singular harmonic measure
Vadim A. Kaimanovich, Vincent Le Prince
Any Zariski dense countable subgroup of is shown to carry a non-degenerate finitely supported symmetric random walk such that its harmonic measure on the flag space is si…
Convergence of Point Processes with Weakly Dependent Points
Raluca Balan, Sana Louhichi
For each , let be a sequence of strictly stationary random variables. In this article, we give some asymptotic weak dependence conditions…
A strong invariance principle for associated random fields
Raluca M. Balan
In this paper we generalize Yu's [Ann. Probab. 24 (1996) 2079-2097] strong invariance principle for associated sequences to the multi-parameter case, under the assumption that the…
Bridges and networks: Exact asymptotics
Robert D. Foley, David R. McDonald
We extend the Markov additive methodology developed in [Ann. Appl. Probab. 9 (1999) 110-145, Ann. Appl. Probab. 11 (2001) 596-607] to obtain the sharp asymptotics of the steady sta…