Quadratic fluctuations of speed-change Kawasaki dynamics

Chenlin Gu; Baige Zhou

Quadratic fluctuations of speed-change Kawasaki dynamics

Probability 2026-07-02 v1

Authors: Chenlin Gu , Baige Zhou

Abstract

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{\c{c}}alves and Jara [ALEA, Lat. Am. J. Probab. Math. Stat. 16, 605-632 (2019)] to the non-gradient case.

Keywords

Kawasaki dynamics quadratic fluctuations equilibrium fluctuations non-gradient systems weak convergence

Cite

@article{arxiv.2607.01629,
  title  = {Quadratic fluctuations of speed-change Kawasaki dynamics},
  author = {Chenlin Gu and Baige Zhou},
  journal= {arXiv preprint arXiv:2607.01629},
  year   = {2026}
}

Comments

44 pages, 6 figures