Geodesic
Random walks on strict partitions
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XVII, Tome 373 (2009), pp. 226-272

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We construct a diffusion process in the infinite-dimensional simplex consisting of all nonincreasing infinite sequences of nonnegative numbers with sum less than or equal to one. The process is constructed as a limit of a certain sequence of Markov chains. The state space of the $n$th chain is the set of all strict partitions of $n$ (that is, partitions without equal parts). As $n\to\infty$, these random walks converge to a continuous-time strong Markov process in the infinite-dimensional simplex. The process has continuous sample paths. The main result about the limit process is the expression of its pre-generator as a formal second order differential operator in a polynomial algebra. Bibl. – 30 titles. 
@article{ZNSL_2009_373_a14,
     author = {L. Petrov},
     title = {Random walks on strict partitions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {226--272},
     publisher = {mathdoc},
     volume = {373},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_373_a14/}
}
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L. Petrov. Random walks on strict partitions. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XVII, Tome 373 (2009), pp. 226-272. http://geodesic.mathdoc.fr/item/ZNSL_2009_373_a14/