科研之友
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摘要
We study a family of Markov processes on P-(k), the space of partitions of the natural numbers with at most k blocks. The process can be constructed from a Poisson point process on R+ x Pi(k)(i=1) P-(k) with intensity dt circle times rho((k))(nu), where rho(nu) is the distribution of the paintbox based on the probability measure nu on P-m, the set of ranked-mass partitions of 1, and rho((k))(nu) is the product measure on Pi(k)(i=1) P-(k). We show that these processes possess a unique stationary measure, and we discuss a particular set of reversible processes for which transition probabilities can be written down explicitly.
- 出版日期2011-9
