117 citations · 248 across the 15 of their papers we have counts for
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SL(2) and z-measures
Andrei Okounkov
We give a representation-theoretic proof of the formula for correlation functions of z-measures obtained by Borodin and Olshanski in math.RT/9904010. This paper is historically pre…
Why would multiplicities be log-concave ?
Andrei Okounkov
It is a basic property of the entropy in statistical physics that is concave as a function of energy. The analog of this in representation theory would be the concavity of the loga…
Infinite wedge and random partitions
Andrei Okounkov
Using techniques from integrable systems, we obtain a number of exact results for random partitions. In particular, we prove a simple formula for correlation functions of what we c…
On the representations of the infinite symmetric group
Andrei Okounkov
We classify all irreducible admissible representations of three Olshanski pairs connected to the infinite symmetric group. In particular, our methods yield two simple proofs of the…