2 F eb 2 00 0 Infinite wedge and random partitions

  title={2 F eb 2 00 0 Infinite wedge and random partitions},
  author={Andrei Okounkov},
  • Andrei Okounkov
  • Published 2008
The aim of this paper is to show that random partitions have a very natural and direct connection to various structures which are well known in integrable systems. This connection is arguably even more natural than, for example, in the case of random matrices. In a sense, we show that solitaire (which is related to increasing subsequences in random permutations and thus to the Plancherel measure on partitions [2, 3]) and soliton have much more in common than the general notion of solitude. The… CONTINUE READING

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