N. Guillotin-Plantard

activity

20032025

most citedA local limit theorem for random walks in random scenery and on randomly oriented lattices

30 citations · 83 across the 27 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.PR2012★ 15 cited

Quenched Central Limit Theorems for Random Walks in Random Scenery

Nadine Guillotin-Plantard, Julien Poisat

Random walks in random scenery are processes defined by $Z_{n} := k = 1 \sum n ω_{S_{k}}$ where $S := (S_{k}, k \geq 0)$ is a random walk evolving in $Z^{d}$ and $ω:=(ω_x, x\in{\mathbb…

math.PR2012★ 7 cited

Central Limit Theorems for Open Quantum Random Walks and Quantum Measurement Records

Stephane Attal, Nadine Guillotin-Plantard, Christophe Sabot

Open Quantum Random Walks, as developed in \cite{APSS}, are a quantum generalization of Markov chains on finite graphs or on lattices. These random walks are typically quantum in t…

math.PR2012

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 $Z_{n} := \sum_{k = 1}^{n} ξ_{X_{1} + ... + X_{k}}$ , where basically $(X_{k}, k \geq 1)$ and $(ξ_{y}, y \in Z)$ are two independent sequences o…