Limit theorems for the position of a tagged particle in the stirring-exclusion process

• DOI: 10.1007/s11464-013-0283-0
• Publication Date: 2013-03-05T11:22:17Z
• Authors: Peng Chen; Fuxi Zhang
• Keywords: 0101 mathematics; 01 natural sciences

Stirring-exclusion processes are exclusion processes with particles being stirred. We investigate a tagged particle among a Bernoulli product environment measure on the lattice ℤd.We show the strong law of large numbers and the central limit theorem for the tagged particle. The proof of the central limit theorem is based on the method of martingale decomposition with a sector condition.