3 papers
math.PR2026
Central limit theorems for additive functionals of long-range zero-range processes
Xue Xiaofeng
In this paper, we extend the central limit theorem of the additive functional of the nearest-neighbor zero-range process given in \cite{Quastel2002} to the long-range case. Our mai…
math.PR2025
Stationary fluctuations for occupation times of the long-range voter models on lattices
Xiaofeng Xue
In this paper, we are concerned with the long-range voter model on lattices. We prove a stationary fluctuation theorem for the occupation time of the model under a proper time-spac…
math.PR2024
Sample path central limit theorem for the occupation time of the voter model on a lattice
Xiaofeng Xue
In this paper, we extend the central limit theorem of the occupation time of the voter model on the lattice given in \cite{Cox1983} to the sample path case for $d\ge…