117 citations · 248 across the 15 of their papers we have counts for
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A remark on Fourier pairing and binomial formula for Macdonald polynomials
Andrei Okounkov
We give a concise direct proof of the orthogonality of interpolation Macdonald polynomials with respect to the Fourier pairing and briefly discuss some immediate applications of th…
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…
Generating functions for intersection numbers on moduli spaces of curves
Andrei Okounkov
Using the connection between intersection theory on the Deligne-Mumford spaces and the edge scaling of the GUE matrix model (see math.CO/9903176, math.AG/0101147), we express the n…
Gromov-Witten theory, Hurwitz numbers, and Matrix models, I
Andrei Okounkov, Rahul Pandharipande
The main goal of the paper is to present a new approach via Hurwitz numbers to Kontsevich's combinatorial/matrix model for the intersection theory of the moduli space of curves. A…