3 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…
math.PR2024
Mean field limits of a class of conservative systems with position-dependent transition rates
Xiaofeng Xue
In this paper, we are concerned with a class of conservative systems including asymmetric exclusion processes and zero-range processes as examples, where some particles are initial…