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Random Skew Plane Partitions and the Pearcey Process

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Abstract

We study random skew 3D partitions weighted by q vol and, specifically, the q → 1 asymptotics of local correlations near various points of the limit shape. We obtain sine-kernel asymptotics for correlations in the bulk of the disordered region, Airy kernel asymptotics near a general point of the frozen boundary, and a Pearcey kernel asymptotics near a cusp of the frozen boundary.

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, Princeton, NJ, 08544-1000, USA

    Andrei Okounkov

  2. Department of Mathematics, University of California at Berkeley, Berkeley, CA, 94720-3840, USA

    Nicolai Reshetikhin

Authors
  1. Andrei Okounkov
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  2. Nicolai Reshetikhin
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Correspondence to Nicolai Reshetikhin.

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Communicated by L. Takhtajan

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Okounkov, A., Reshetikhin, N. Random Skew Plane Partitions and the Pearcey Process. Commun. Math. Phys. 269, 571–609 (2007). https://doi.org/10.1007/s00220-006-0128-8

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  • DOI: https://doi.org/10.1007/s00220-006-0128-8

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