3 papers
math.PR2025
A central limit theorem for two-dimensional directed polymers with critical spatial correlation
Clément Cosco, Francesca Cottini, Anna Donadini
On the 1+2 dimensional lattice, we consider a directed polymer in a random Gaussian environment that is independent in time and correlated in space. The spatial correlation is supp…
math.PR2025
High moments of 2d directed polymers up to quasi-criticality
Clément Cosco, Shuta Nakajima
We consider two-dimensional directed polymers in random environment in the sub-critical regime and in the quasi-critical regime introduced recently by Caravenna, Cottini and Rossi,…
math.PR2023
Moments of partition functions of 2D Gaussian polymers in the weak disorder regime -- II
Clément Cosco, Ofer Zeitouni
Let be the partition function of a two-dimensional directed polymer in a random environment, where $ω(i,x),…