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International Conference dedicated to the 60-th birthday of Boris Feigin "Representation Theory and applications to Combinatorics, Geometry and Quantum Physics"
December 13, 2013 12:35–13:25, Moscow, Independent University of Moscow
 


Algebraic approach to infinite-dimensional Markov dynamics

G. I. Olshanski
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G. I. Olshanski


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Abstract: I will explain how to construct a model of Markov dynamics with infinitely many interacting particles. The model originated from the problem of harmonic analysis on the infinite symmetric group. The construction is essentially algebraic (no advanced probabilistic technique is used), and the algebra of symmetric functions serves as one of principal technical tools.

Language: English

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