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
Enhanced noise sensitivity, 2D directed polymers and Stochastic Heat Flow
Francesco Caravenna, Anna Donadini
We investigate noise sensitivity beyond the classical setting of binary random variables, extending the celebrated result by Benjamini, Kalai, and Schramm to a wide class of functi…
math.PR2025
On the Central Limit Theorem for the log-partition function of 2D directed polymers
Clément Cosco, Anna Donadini
The log-partition function of the two-dimensional directed polymer in random environment is known to converge in distribution to a normal distribution when consider…