6 citations · 14 across the 13 of their papers we have counts for
17 papers · 1 filter
Scaling limit of additive functionals for reversible non-gradient exclusion process: critical cases
Chenlin Gu, Linzhi Yang, Linjie Zhao
For the reversible speed-change exclusion process in , we study the scaling limit of additive functionals ${Γ_t(f) = \int_0^t f(η_s)\, \mathrm{d} s…
Nonequilibrium fluctuations and moderate deviations for the occupation time of the SSEP with Glauber dynamics
Linjie Zhao
We study the symmetric simple exclusion process with Glauber dynamics. When the process starts from a nonequilibrium measure, we prove central limit theorems for the occupation tim…
Sample path MDP for the current and the tagged particle in the SSEP
Xiaofeng Xue, Linjie Zhao
We prove sample path moderate deviation principles (MDP) for the current and the tagged particle in the symmetric simple exclusion process, which extends the results in \cite{xue20…
Stationary fluctuations for the facilitated exclusion process
Clément Erignoux, Linjie Zhao
We derive the stationary fluctuations for the Facilitated Exclusion Process (FEP) in one dimension in the symmetric, weakly asymmetric and asymmetric cases. Our proof relies on the…
Stationary fluctuations for a multi-species zero range process with long jumps
Linjie Zhao
We consider stationary fluctuations for the multi-species zero range process with long jumps in one dimension, where the underlying transition probability kernel is $p(x) = c_+ |x|…
The motion of the tagged particle in asymmetric exclusion process with long jumps
Linjie Zhao
We prove the law of large numbers and invariance principles for the tagged particle in the asymmetric exclusion process with long jumps when the process starts from its equilibrium…
Equilibrium Perturbations for Asymmetric Zero Range Process under Diffusive Scaling in Dimensions
Linjie Zhao
We consider the asymmetric zero range process in dimensions . Assume the initial density profile is a perturbation of the constant density, which has order , $α\i…
Equilibrium perturbations for stochastic interacting systems
Lu Xu, Linjie Zhao
We consider the equilibrium perturbations for two stochastic systems: the -dimensional generalized exclusion process and the one-dimensional chain of anharmonic oscillators. We…
Moderate Deviations for the current and Tagged Particle in Symmetric Simple Exclusion Processes
Xiaofeng Xue, Linjie Zhao
We prove moderate deviation principles for the tagged particle position and current in one-dimensional symmetric simple exclusion processes. There is at most one particle per site.…
Mapping hydrodynamics for the facilitated exclusion and zero-range processes
Clément Erignoux, Marielle Simon, Linjie Zhao
We derive the hydrodynamic limit for two degenerate lattice gases, the \emph{facilitated exclusion process} (FEP) and the \emph{facilitated zero-range process} (FZRP), both in the…
The voter model with a slow membrane
Xiaofeng Xue, Linjie Zhao
We introduce the voter model on the infinite lattice with a slow membrane and investigate its hydrodynamic behavior and nonequilibrium fluctuations. The model is defined as follows…
Asymmetric attractive zero-range processes with particle destruction at the origin
Marielle Simon, Linjie Zhao, Clément Erignoux
We investigate the macroscopic behavior of asymmetric attractive zero-range processes on where particles are destroyed at the origin at a rate of order , where $β…
Long-time behavior of SSEP with slow boundary
Linjie Zhao
We consider the symmetric simple exclusion process with slow boundary first introduced in [Baldasso {\it et al.}, Journal of Statistical Physics, 167(5), 2017]. We prove a law of l…
Non-equilibrium Fluctuations of the Weakly Asymmetric Normalized Binary Contact Path Process
Xiaofeng Xue, Linjie Zhao
This paper is a further investigation of the problem studied in \cite{xue2020hydrodynamics}, where the authors proved a law of large numbers for the empirical measure of the weakly…
Moderate Deviations for the SSEP with a Slow Bond
Xiaofeng Xue, Linjie Zhao
We consider the one dimensional symmetric simple exclusion process with a slow bond. In this model, particles cross each bond at rate , except one particular bond, the slow bo…
Hydrodynamics of the Binary Contact Path Process
Xiaofeng Xue, Linjie Zhao
In this paper we are concerned with the binary contact path process introduced in \cite{Gri1983} on the lattice with . Our main result gives a hydrodynamic…
The Limiting Behavior of the FTASEP with Product Bernoulli Initial Distribution
Dayue Chen, Linjie Zhao
We study the facilitated totally asymmetric exclusion process on the one dimensional integer lattice. We investigate the invariant measures and the limiting behavior of the process…