6 papers
Quadratic fluctuations of speed-change Kawasaki dynamics
Chenlin Gu, Baige Zhou
For the speed-change Kawasaki dynamics, we study the weak convergence of its quadratic field, and derive the equilibrium fluctuation. This extends the result of Gon{ç}alves and Jar…
Perron--Frobenius theorem for a general tree-valued growth-fragmentation-isolation process
Chenlin Gu, Mingyuan Shen, Ronghang Zhang
A general tree-valued dynamics is considered in continuous time: new vertices are added, and the percolation happens on the links, and the connected components can be frozen. The m…
Relaxation to equilibrium of conservative dynamics II: non-gradient exclusion processes
Chenlin Gu, Linzhi Yang
For the speed-change exclusion process on reversible with respect to the product Bernoulli measure, we prove that its semigroup satisfies a variance decay $\op…
The diffusivity of supercritical Bernoulli percolation is infinitely differentiable
Chenlin Gu, Wenhao Zhao
We prove that, the diffusivity and conductivity on -Bernoulli percolation () are infinitely differentiable in supercritical regime. This extends a result by…
Quantitative equilibrium fluctuations for interacting particle systems
Chenlin Gu, Jean-Christophe Mourrat, Maximilian Nitzschner
We consider a class of interacting particle systems in continuous space of non-gradient type, which are reversible with respect to Poisson point processes with constant density. Fo…
Smoothness of the diffusion coefficients for particle systems in continuous space
Arianna Giunti, Chenlin Gu, Jean-Christophe Mourrat +1
For a class of particle systems in continuous space with local interactions, we show that the asymptotic diffusion matrix is an infinitely differentiable function of the density of…