30 citations · 83 across the 27 of their papers we have counts for
30 papers
Iterated random walks in random scenery (PAPAPA)
Nadine Guillotin-Plantard, Françoise Pène, Frédérique Watbled
We establish a limit theorem for a new model of 3-dimensional random walk in an inhomogeneous lattice with random orientations. This model can be seen as a 3dimensional version of…
Branching processes in correlated random environment
Xinxin Chen, Nadine Guillotin-Plantard
We consider the critical branching processes in correlated random environment which is positively associated and study the probability of survival up to the n-th generation. Moreov…
Empirical processes for recurrent and transient random walks in random scenery
Nadine Guillotin-Plantard, Francoise Pene, Martin Wendler
In this paper, we are interested in the asymptotic behaviour of the sequence of processes with \begin{equation*} W_n(s,t):=\sum_{k=1}^{\lfloor nt\rfloor}…
Random walks and branching processes in correlated Gaussian environment
Frank Aurzada, Alexis Devulder, Nadine Guillotin-Plantard +1
We study persistence probabilities for random walks in correlated Gaussian random environment first studied by Oshanin, Rosso and Schehr. From the persistence results, we can deduc…
Persistence probabilities for stationary increment processes
Frank Aurzada, Nadine Guillotin-Plantard, Françoise Pène
We study the persistence probability for processes with stationary increments. Our results apply to a number of examples: sums of stationary correlated random variables whose scali…
On the survival probability in the Matheron - De Marsily model
Nadine Guillotin-Plantard, Françoise Pène
We are interested in the behaviour of the range and of the first return time to the origin of random walks in random scenery. As a byproduct a precise estimate of the survival prob…