1 citations · 1 across the 6 of their papers we have counts for
6 papers
The critical disordered pinning measure
Ran Wei, Jinjiong Yu
In this paper, we study a disordered pinning model induced by a random walk whose increments have a finite -th moment for some . It is known that this model is marginal…
Universality of the Brownian net
Rongfeng Sun, Jan M. Swart, Jinjiong Yu
The Brownian web is a collection of one-dimensional coalescing Brownian motions starting from every point in space and time, while the Brownian net is an extension that also allows…
Weak coupling limits for directed polymers in tube environments
Ran Wei, Jinjiong Yu
In this paper, we study a model of directed polymers in random environment, where the environment is restricted to a time-space tube whose spatial width grows polynomially with tim…
An invariance principle for biased voter model interfaces
Rongfeng Sun, Jan M. Swart, Jinjiong Yu
We consider one-dimensional biased voter models, where 1's replace 0's at a faster rate than the other way round, started in a Heaviside initial state describing the interface betw…
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…
Edwards-Wilkinson fluctuations in the Howitt-Warren flows
Jinjiong Yu
We study current fluctuations in a one-dimensional interacting particle system known as the dual smoothing process that is dual to random motions in a Howitt-Warren flow. The Howit…