117 citations · 326 across the 20 of their papers we have counts for
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math.AG2006★ 1 cited
Geometry of planar log-fronts
Grigory Mikhalkin, Andrei Okounkov
The log-front of two plane curves P(z,w)=0 and Q(z,w)=0 is the locus of (a,b) such that Q(az,bw)=0 is tangent to P(z,w)=0. Log-fronts generalize dual curves, wave fronts, and arise…
math.RT2006★ 35 cited
Limits of BC-type orthogonal polynomials as the number of variables goes to infinity
Andrei Okounkov, Grigori Olshanski
We describe the asymptotic behavior of the multivariate BC-type Jacobi polynomials as the number of variables and the Young diagram indexing the polynomial go to infinity. In parti…
math-ph2006★ 11 cited
Random partitions and instanton counting
Andrei Okounkov
In this expository paper we summarize the connection between random partitions and 4-dimensional supersymmetric gauge theories discovered in hep-th/0306238. There is also a brief s…