4 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 Ja…
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…