Geodesic
Diffusion processes on the Thoma cone
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 3, pp. 85-90

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The Thoma cone is a certain infinite-dimensional space that arises in the representation theory of the infinite symmetric group. The present note is a continuation of a paper by A. M. Borodin and the author (Electr. J. Probab. 18 (2013), no. 75), where a 2-parameter family of continuous-time Markov processes on the Thoma cone was constructed. The purpose of the note is to show that these processes are diffusions.
Keywords: infinite symmetric group, Thoma simplex, Thoma cone, symmetric functions
Mots-clés : diffusion processes. 
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G. I. Olshanski. Diffusion processes on the Thoma cone. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 3, pp. 85-90. http://geodesic.mathdoc.fr/item/FAA_2016_50_3_a8/