3 citations · 9 across the 17 of their papers we have counts for
20 papers
Scaling limit of a weakly asymmetric simple exclusion process in the framework of regularity structures
Ruojun Huang, Konstantin Matetski, Hendrik Weber
We prove that a parabolically rescaled and suitably renormalised height function of a weakly asymmetric simple exclusion process on a circle converges to the Cole-Hopf solution of…
Phase Synchronization in Random Geometric Graphs on the 2D Sphere
Cecilia De Vita, Pablo Groisman, Ruojun Huang
The Kuramoto model is a classical nonlinear ODE system designed to study synchronization phenomena. Each equation represents the phase of an oscillator and the coupling between the…
A non-inertial model for particle aggregation under turbulence
Franco Flandoli, Ruojun Huang
We consider an abstract non-inertial model of aggregation under the influence of a Gaussian white noise with prescribed space-covariance, and prove a formula for the mean collision…
Scaling Limit of the Kuramoto Model on Random Geometric Graphs
Francisco Cirelli, Pablo Groisman, Ruojun Huang +1
We consider the Kuramoto model on a graph with nodes given by i.i.d. points uniformly distributed on the dimensional torus. Two nodes are declared neighbors if they are at…
Smoluchowski coagulation equation with velocity dependence
Franco Flandoli, Ruojun Huang, Andrea Papini
In the present article we introduce a variant of Smoluchowski's coagulation equation with both position and velocity variables taking a kinetic viewpoint arising as the scaling lim…
Noise based on vortex structures in 2D and 3D
Franco Flandoli, Ruojun Huang
A new noise, based on vortex structures in 2D (point vortices) and 3D (vortex filaments), is introduced. It is defined as the scaling limit of a jump process which explores vortex…
Turbulence enhancement of coagulation: the role of eddy diffusion in velocity
Franco Flandoli, Ruojun Huang, Andrea Papini
A Smoluchowski type model of coagulation in a turbulent fluid is given, first expressed by means of a stochastic model, then in a suitable scaling limit as a deterministic model wi…
The Kuramoto model on dynamic random graphs
Pablo Groisman, Ruojun Huang, Hernan Vivas
We propose a Kuramoto model of coupled oscillators on a time-varying graph, whose dynamics is dictated by a Markov process in the space of graphs. The simplest representative is co…
Scaling limit for a second-order particle system with local annihilation
Ruojun Huang
For a second-order particle system in subject to locally-in-space pairwise annihilation, we prove a scaling limit for its empirical measure on position and velocity t…
Coagulation dynamics under environmental noise: scaling limit to SPDE
Franco Flandoli, Ruojun Huang
We prove that a system of locally interacting diffusions carrying discrete masses, subject to an environmental noise and undergoing mass coagulation, converges to a system of Stoch…
The KPP equation as a scaling limit of locally interacting Brownian particles
Franco Flandoli, Ruojun Huang
Fisher-KPP equation is proved to be the scaling limit of a system of Brownian particles with local interaction. Particles proliferate and die depending on the local concentration o…
Averaging Principle and Shape Theorem for a Growth Model with Memory
Amir Dembo, Pablo Groisman, Ruojun Huang +1
We present a general approach to study a class of random growth models in -dimensional Euclidean space. These models are designed to capture basic growth features which are expe…
Growing in time IDLA cluster is recurrent
Ruojun Huang
We show that Internal Diffusion Limited Aggregation (IDLA) on has near optimal Cheeger constant when the growing cluster is large enough. This implies, through a hea…
Explicit formula for the density of local times of Markov Jump Processes
Ruojun Huang, Daniel Kious, Vladas Sidoravicius +1
In this note we show a simple formula for the joint density of local times, last exit tree and cycling numbers of continuous-time Markov Chains on finite graphs, which involves the…
Random walks among time increasing conductances: heat kernel estimates
Amir Dembo, Ruojun Huang, Tianyi Zheng
For any graph having a suitable uniform Poincare inequality and volume growth regularity, we establish two-sided Gaussian transition density estimates and parabolic Harnack inequal…
On random walk on growing graphs
Ruojun Huang
Random walk on changing graphs is considered. For sequences of finite graphs increasing monotonically towards a limiting infinite graph, we establish transition probability upper b…
Transience in growing subgraphs via evolving sets
Amir Dembo, Ruojun Huang, Ben Morris +1
We extend the use of random evolving sets to time-varying conductance models and utilize it to provide tight heat kernel upper bounds. It yields the transience of any uniformly laz…
Stability and instability of Gaussian heat kernel estimates for random walks among time-dependent conductances
Ruojun Huang, Takashi Kumagai
We consider time-dependent random walks among time-dependent conductances. For discrete time random walks, we show that, unlike the time-independent case, two-sided Gaussian heat k…
Monotone interaction of walk and graph: recurrence versus transience
Amir Dembo, Ruojun Huang, Vladas Sidoravicius
We consider recurrence versus transience for models of random walks on domains of , in which monotone interaction enforces domain growth as a result of visits by the…
Walking within growing domains: recurrence versus transience
Amir Dembo, Ruojun Huang, Vladas Sidoravicius
For normally reflected Brownian motion and for simple random walk on independently growing in time d-dimensional domains, d>=3, we establish a sharp criterion for recurrence versus…