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A property of Petrov's diffusion

   
@article{ECP3684,
	author = {Stewart Ethier},
	title = {A property of Petrov's diffusion},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {19},
	year = {2014},
	keywords = {infinite-dimensional diffusion process, transition density, two-parameter Poisson--Dirichlet distribution, entrance boundary},
	abstract = {Petrov constructed a diffusion process in the Kingman simplex whose unique stationary distribution is the two-parameter Poisson-Dirichlet distribution of Pitman and Yor.  We show that the subset of the simplex comprising vectors whose coordinates sum to 1 is the natural state space for the process.  In fact, the complementary set acts like an entrance boundary.},
	pages = {no. 65, 1-4},
	issn = {1083-589X},
	doi = {10.1214/ECP.v19-3684},    
        url = {http://ecp.ejpecp.org/article/view/3684}}