Ty. Lee et B. Remillard, OCCUPATION TIMES IN SYSTEMS OF NULL RECURRENT MARKOV-PROCESSES, Probability theory and related fields, 98(2), 1994, pp. 245-259
We study asymptotic properties of differences of occupation times for
infinite systems of noninteracting Markovian particles. Under a suitab
le normalisation we prove convergence in law to a nondegerate Gaussian
field. We also obtain large deviations properties. These results gene
ralise previous results obtained separately by both authors.