40 citations · 99 across the 15 of their papers we have counts for
18 papers
Multivariate stable mixing local limit theorem for intermittent diffeomorphisms and flows
Ian Melbourne, Françoise Pène, Dalia Terhesiu
We prove mixing local limit theorems for dynamical systems in the superdiffusive regime where there is convergence to a multivariate stable law (including the nonstandard domain of…
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…
Expansions in the local and the central limit theorems for dynamical systems
Kasun Fernando, Françoise Pène
We study higher order expansions both in the Berry-Esséen estimate (Edgeworth expansions) and in the local limit theorems for Birkhoff sums of chaotic probability preserving dynami…
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…
Mixing rate in infinite measure for Z^d-extension, application to the periodic Sinai billiard
Françoise Pène
We study the rate of mixing of observables of Z^d-extensions of probability preserving dynamical systems. We explain how this question is directly linked to the local limit theorem…
Multiplicative ergodicity of laplace transforms for additive functional of markov chains with application to age-dependent branching process
Loïc Hervé, Sana Louhichi, Françoise Pène
We study the exponential growth of bifurcating processes with ancestral dependence. We suppose here that the lifetimes of the cells are dependent random variables, that the numbers…
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…
Persistence exponent for random walk on directed versions of
Nadine Guillotin-Plantard, Françoise Pène
We study the persistence exponent for random walks in random sceneries (RWRS) with integer values and for some special random walks in random environment in including…
On the range of the Campanino and Pétritis random walk
Nadine Guillotin-Plantard, Françoise Pène
We are interested in the behaviour of the range of the Campanino and Pétritis random walk, namely a simple random walk on the lattice with random orientations of the…
On the local time of random processes in random scenery
Fabienne Castell, Nadine Guillotin--Plantard, Françoise Pène +1
Random walks in random scenery are processes defined by , where basically and are two independent sequences o…
Renewal theorems for random walks in random scenery
Nadine Guillotin-Plantard, Françoise Pène
Random walks in random scenery are processes defined by , where and are two independent sequences of i.i.d. r…
A local limit theorem for random walks in random scenery and on randomly oriented lattices
Fabienne Castell, Nadine Guillotin-Plantard, Françoise Pène +1
Random walks in random scenery are processes defined by , where and are two independent sequences of i.i.d. r…
The Nagaev-Guivarc'h method via the Keller-Liverani theorem
Loïc Hervé, Françoise Pène
The Nagaev-Guivarc'h method, via the perturbation operator theorem of Keller and Liverani, has been exploited in recent papers to establish local limit and Berry-Essen type theorem…
Rate of convergence in the multidimensional central limit theorem for stationary processes. Application to the Knudsen gas and to the Sinai billiard
Françoise Pène
We show how Rio's method [Probab. Theory Related Fields 104 (1996) 255--282] can be adapted to establish a rate of convergence in in the multidimensional cen…