Geodesic
Approximation of Markov Dynamics on the Dual Object of the Infinite-Dimensional Unitary Group
Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 4, pp. 61-75

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Earlier, A. M. Borodin and the author constructed a $4$-parameter family of Markov processes on the dual object of the infinite-dimensional unitary group. The main new result is that these processes are limits of jump processes on dual objects of increasing compact unitary groups.
Keywords: Markov processes, intertwining kernels, infinite-dimensional unitary groups, Feller semigroups, Dyson's Brownian motion.
Mots-clés : Markov kernels 
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     author = {G. I. Olshanskii},
     title = {Approximation of {Markov} {Dynamics} on the {Dual} {Object} of the {Infinite-Dimensional} {Unitary} {Group}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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G. I. Olshanskii. Approximation of Markov Dynamics on the Dual Object of the Infinite-Dimensional Unitary Group. Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 4, pp. 61-75. http://geodesic.mathdoc.fr/item/FAA_2015_49_4_a4/