2006/11/27 by M. D. Jara, Jara, M. D.
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #60K35 #82C22 #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #math-ph #math.MP #math.PR #msc:60K35 #msc:82C22
paper · pdf · doi:10.48550/arxiv.math/0611836
9 pages
arxiv created 2006/11/27 · openalex publication_date 2006/11/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We obtain the equilibrium fluctuations for the empirical density of particles for the zero-range process in the Sierpinski gasket. The limiting process is a generalized Ornstein-Uhlenbeck process generated by the Neumann Laplacian and its corresponding Dirichlet form on the gasket.