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math-ph2004★ 20 cited
Random surfaces enumerating algebraic curves
Andrei Okounkov
These are notes from my lecture at 4ECM in Stockholm (June 2004).
math-ph2003
Dimers and Amoebae
Richard Kenyon, Andrei Okounkov, Scott Sheffield
We study random surfaces which arise as height functions of random perfect matchings (a.k.a. dimer configurations) on an weighted, bipartite, doubly periodic graph G embedded in th…
math-ph2003★ 25 cited
The uses of random partitions
Andrei Okounkov
These are extended notes for my talk at the ICMP 2003 in Lisbon. Our goal here is to demonstrate how natural and fundamental random partitions are from many different points of vie…