21 citations · 33 across the 12 of their papers we have counts for
7 papers · 1 filter
On the asymptotic behavior of the Diaconis and Freedman's chain in a multidimensional simplex
Marc Peigné, Tat Dat Tran
In this paper, we give out a setting of an Diaconis and Freedman's chain in a multidimensional simplex and consider its asymptotic behavior. By using techniques in random iterated…
On the affine recursion on
Sara Brofferio, Marc Peigné, Thi Da Cam Pham
We fix and denote the semi-group of matrices with non negative entries. We consider a sequence of i. i. d. random vari…
Limit theorem for reflected random walks
Hoang-Long Ngo, Marc Peigné
Let n , n N be a sequence of i.i.d. random variables with values in Z. The associated random walk on Z is S(n) = 1 + + n+1 and the corr…
Recurrence of 2-dimensional queueing processes, and random walk exit times from the quadrant
Marc Peigné, Wolfgang Woess
Let be a 2-dimensional random variable and a sequence of i.i.d. copies of . The associated random walk is .…
Iterated function systems with place dependent probabilities and application to the Diaconis-Friedman's chain on [0,1]
Fetima Ladjimi, Marc Peigné
We study Markov chains generated by iterated Lipschitz functions systems with possibly place dependent probabilities. Under general conditions, we prove uniqueness of the invariant…
Some aspects of fluctuations of random walks on R and applications to random walks on R+ with non-elastic reflection at 0
Rim Essifi, Marc Peigné, Kilian Raschel
In this article we refine well-known results concerning the fluctuations of one-dimensional random walks. More precisely, if is a random walk starting from 0 and…