117 citations · 248 across the 15 of their papers we have counts for
5 papers · 1 filter
Random skew plane partitions and the Pearcey process
Andrei Okounkov, Nicolai Reshetikhin
We study random skew 3D partitions weighted by and, specifically, the asymptotics of local correlations near various points of the limit shape. We obtai…
Random trees and moduli of curves
Andrei Okounkov
These are (not updated) notes from the lectures I gave in St.Petersburg in July of 2001. Their goal is to give an expository account of the proof of Kontsevich's combinatorial form…
Symmetric functions and random partitions
Andrei Okounkov
These are (not updated) notes from the lectures I gave at the NATO ASI ``Symmetric Functions 2001'' at the Isaac Newton Institute in Cambridge (June 25 -- July 6, 2001). Their goal…
Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
Andrei Okounkov, Nikolai Reshetikhin
Schur process is a time-dependent analog of the Schur measure on partitions studied in math.RT/9907127. Our first result is that the correlation functions of the Schur process are…
Random Matrices and Random Permutations
Andrei Okounkov
We prove the conjecture of Baik, Deift, and Johansson which says that with respect to the Plancherel measure on the set of partitions of , the 1st, 2nd, and so on, rows behave,…