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math.PR2026
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…
math.PR2026
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…