3 papers
math.PR2026
Strong large deviation principles for pair empirical measures of random walks in the Mukherjee-Varadhan topology
Dirk Erhard, Julien Poisat
In this paper we introduce a topology under which the pair empirical measure of a large class of random walks satisfies a strong Large Deviation principle. The definition of the to…
math.PR2025
Variational representation and estimates for the free energy of a quenched charged polymer model
Julien Poisat
Random walks with a disordered self-interaction potential may be used to model charged polymers. In this paper we consider a one-dimensional and directed version of the charged pol…
math.PR2024
Localization of a one-dimensional simple random walk among power-law renewal obstacles
Julien Poisat, Francois Simenhaus
We consider a one-dimensional simple random walk killed by quenched soft obstacles. The position of the obstacles is drawn according to a renewal process with a power-law increment…