39 citations · 162 across the 36 of their papers we have counts for
6 papers · 1 filter
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…
Perturbations of supercritical oriented percolation and sticky Brownian webs
Emmanuel Schertzer, Rongfeng Sun
Previously, Sarkar and Sun have shown that for supercritical oriented percolation in dimension , the set of rightmost infinite open paths converges to the Brownian web after p…
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…
Geometry of the random walk range conditioned on survival among Bernoulli obstacles
Jian Ding, Ryoki Fukushima, Rongfeng Sun +1
We consider a discrete time simple symmetric random walk among Bernoulli obstacles on , , where the walk is killed when it hits an obstacle. It is known that…
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…
Equilibrium interfaces of biased voter models
Rongfeng Sun, Jan M. Swart, Jinjiong Yu
A one-dimensional interacting particle system is said to exhibit interface tightness if starting in an initial condition describing the interface between two constant configuration…