2 papers
math.PR2026
Invariance principles for additive functionals of voter models
Xiaofeng Xue
In this paper, we prove an invariance principle for the additive functionals of a family of voter models, which include the nearest-neighbor cases on -dimensional lattices for $…
math.PR2025
Stationary fluctuation for the occupation time of the multi-species stirring process
Xiaofeng Xue
In this paper, we prove a fluctuation theorem for the occupation time of the multi-species stirring process on a lattice starting from a stationary distribution. Our result shows t…