5 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…
Quantitative recurrence for tranformation
Françoise Pène, Benoit Saussol
We are interested in the study of the asymptotic behaviour of return times in small balls for the -transformation. We exhibit different asymptotic behaviours (different s…
Central limit theorems for the -periodic Lorentz gas
Françoise Pène, Damien Thomine
This paper is devoted to the study of the stochastic properties of dynamical systems preserving an infinite measure. More precisely we prove central limit theorems for Birkhoff sum…
Arbitrary many walkers meet infinitely often in a subballistic random environment
Alexis Devulder, Nina Gantert, Françoise Pene
We consider independent walkers in the same random environment in . Our assumption on the law of the environment is such that a single walker is transient to the ri…
Collisions of several walkers in recurrent random environments
Alexis Devulder, Nina Gantert, Françoise Pene
We consider d independent walkers on Z, m of them performing simple symmetric random walk and r = d -- m of them performing recurrent RWRE (Sinai walk), in I independent random env…