Geodesic
Non-colliding Jacobi processes as limits of Markov chains on the Gelfand–Tsetlin graph
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamics systems, combinatorial methods. Part XVI, Tome 360 (2008), pp. 91-123 Cet article a éte moissonné depuis la source Math-Net.Ru

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We introduce a stochastic dynamics related to the measures that arise in the harmonic analysis on the infinite-dimensional unitary group. Our dynamics is obtained as a limit of a sequence of natural Markov chains on the Gelfand–Tsetlin graph. We compute the finite-dimensional distributions of the limit Markov process, as well as the generator and eigenfunctions of the semigroup related to this process. The limit process can be identified with the Doob $h$-transform of a family of independent diffusions. The space-time correlation functions of the limit process have a determinantal form. Bibl. – 21 titles. 
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V. E. Gorin. Non-colliding Jacobi processes as limits of Markov chains on the Gelfand–Tsetlin graph. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamics systems, combinatorial methods. Part XVI, Tome 360 (2008), pp. 91-123. http://geodesic.mathdoc.fr/item/ZNSL_2008_360_a3/

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