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Abstract

Speaker: Amitai Regev (Weizmann Institute of Science, Israel)

Title: $S_{\infty} representations and combinatorial identities

Abstract:

For various probability measures on the space of the infinite standard Young tableaux we study the probability that in a random tableau, the $(i,j)^{th}$ entry equals a given number $n$. The analysis of these probabilities leads to many explicit combinatorial identities, some of which are related to hypergeometric series.

This work was done jointly with G. Olshansky (Moscow).



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