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4 papers
The two-dimensional KPZ equation in the entire subcritical regime
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras
We consider the KPZ equation in space dimension 2 driven by space-time white noise. We showed in previous work that if the noise is mollified in space on scale and its strength…
On the moments of the (2+1)-dimensional directed polymer and stochastic heat equation in the critical window
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras
The partition function of the directed polymer model on Z^{2+1} undergoes a phase transition in a suitable continuum and weak disorder limit. In this paper, we focus on a window ar…
The Dickman subordinator, renewal theorems, and disordered systems
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras
We consider the so-called Dickman subordinator, whose Levy measure has density 1/x restricted to the interval (0,1). The marginal density of this process, known as the Dickman func…
High temperature limits for -dimensional directed polymer with heavy-tailed disorder
Partha S. Dey, Nikos Zygouras
The directed polymer model at intermediate disorder regime was introduced by Alberts-Khanin-Quastel~\cite{AKQ12}. It was proved that at inverse temperature with t…