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Regular version of the site

Article

Diffusion processes on the Thoma cone

Functional Analysis and Its Applications. 2016. Vol. 50. No. 3. P. 237-240.

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.