Blanc SIMI 1 - Sciences de l'information, de la matière et de l'ingénierie : Mathématiques et interactions

Random walks, random environments, Reinforcement. – MEMEMO 2

Submission summary

The aim of proposed research is to study various models of non-Markovian random walks modeling the dynamical properties of disordered media. Among these models, the focus is on random walks in random environments, random walks on random graphs like percolation clusters or random trees, reinforced random walks, and random walks in random sceneries. These models have different origins and motivations, but all have natural applications in physics, biology or engineering (see for instance [AH], [BDG], [BTDA], [CM], [dG], [MM], [lD], [St], ...) . All of these models exhibit strong dependence on the past, either by definition of the model itself, or as a consequence of averaging with respect to the random environment. This feature leads to a number of interesting questions, about recurrence/transience of these processes, limit theorems, or large deviations properties that we wish to address in the present project.

Project coordinator

Madame Fabienne CASTELL (CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE - DELEGATION REGIONALE PROVENCE) – castell@cmi.univ-mrs.fr

The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.

Partner

UBO UNIVERSITE DE BRETAGNE OCCIDENTALE
UP13 (LAGA) Laboratoire Analyse, Géométr UNIVERSITE DE PARIS XIII
ICJ CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE - DELEGATION REGIONALE RHONE-AUVERGNE
CNRS DR12_ LATP CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE - DELEGATION REGIONALE PROVENCE

Help of the ANR 300,000 euros
Beginning and duration of the scientific project: - 48 Months

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