4 papers
On irreducible central limit theorems
Francesco Caravenna, Francesca Cottini, Giovanni Peccati
We consider sequences of homogeneous sums based on independent random variables and satisfying a central limit theorem (CLT). We address the following question: "In which cases is…
Non-coincidence of critical points for directed polymers on supercritical percolation clusters
Francesca Cottini, Maximilian Nitzschner
We consider the model of a directed polymer in a random environment defined on the infinite cluster of supercritical Bernoulli bond percolation in dimensions . For this m…
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…
Quasi-critical fluctuations for 2d directed polymers
Francesco Caravenna, Francesca Cottini, Maurizia Rossi
We study the 2d directed polymer in random environment in a novel *quasi-critical regime*, which interpolates between the much studied sub-critical and critical regimes. We prove E…