All orders asymptotic expansion of large partitions

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dc.creatorEynard, Bertrand
dc.date2008-04-02
dc.date2008-04-08
dc.date.accessioned2026-07-07T12:18:03Z
dc.date.available2026-07-07T12:18:03Z
dc.descriptionThe generating function which counts partitions with the Plancherel measure (and its q-deformed version), can be rewritten as a matrix integral, which allows to compute its asymptotic expansion to all orders. There are applications in statistical physics of growing/melting crystals, T.A.S.E.P., and also in algebraic geometry. In particular we compute the Gromov-Witten invariants of the X_p Calabi-Yau 3-fold, and we prove a conjecture of M. Marino, that the generating functions F_g of Gromov--Witten invariants of X_p, come from a matrix model, and are the symplectic invariants of the mirror spectral curve.
dc.description37 pages, latex, 10 figures, reference and example added, few misprints corrected
dc.identifierhttps://arxiv.org/abs/0804.0381
dc.identifierhttp://arxiv.org/abs/0804.0381
dc.identifierJ.Stat.Mech.0807:P07023,2008
dc.identifierdoi:10.1088/1742-5468/2008/07/P07023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212281
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleAll orders asymptotic expansion of large partitions
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