Pré-Publication, Document De Travail Année : 2009

A Matrix model for plane partitions

Résumé

We construct a matrix model equivalent (exactly, not asymptotically), to the random plane partition model, with almost arbitrary boundary conditions. Equivalently, it is also a random matrix model for a TASEP-like process with arbitrary boundary conditions. Using the known solution of matrix models, this method allows to find the large size asymptotic expansion of plane partitions, to ALL orders. It also allows to describe several universal regimes.

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Dates et versions

hal-00381019 , version 1 (04-05-2009)
hal-00381019 , version 2 (22-06-2009)
hal-00381019 , version 3 (24-06-2009)

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Bertrand Eynard. A Matrix model for plane partitions. 2009. ⟨hal-00381019v3⟩
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