7 citations · 8 across the 7 of their papers we have counts for
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Free energy and phase transition for 2D directed polymers with critical spatial correlations
Quentin Berger, Francesca Cottini
We study the two-dimensional directed polymer model in a Gaussian environment which is independent in time and spatially correlated, with covariances either summable or with…
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…
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…
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…
Gaussian Limits for Subcritical Chaos
Francesco Caravenna, Francesca Cottini
We present a simple criterion, only based on second moment assumptions, for the convergence of polynomial or Wiener chaos to a Gaussian limit. We exploit this criterion to obtain n…