$τ$-function for analytic curves

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dc.creatorKostov, I. K.
dc.creatorKrichever, I.
dc.creatorMineev-Weinstein, M.
dc.creatorWiegmann, P.
dc.creatorZabrodin, A.
dc.date2000-05-26
dc.date.accessioned2026-07-07T04:09:54Z
dc.date.available2026-07-07T04:09:54Z
dc.descriptionWe review the concept of $τ$-function for simple analytic curves. The $τ$-function gives a formal solution to the 2D inverse potential problem and appears as the $τ$-function of the integrable hierarchy which describes conformal maps of simply-connected domains bounded by analytic curves to the unit disk. The $τ$-function also emerges in the context of topological gravity and enjoys an interpretation as a large $N$ limit of the normal matrix model.
dc.description13 pages, no figures, prepared for Proccedings of MSRI Workshop ``Matrix Models and Painlevé Equations'', Berkeley (USA) 1999
dc.identifierhttps://arxiv.org/abs/hep-th/0005259
dc.identifierhttp://arxiv.org/abs/hep-th/0005259
dc.identifierRandom matrices and their applications, MSRI publications,vol.40, 285,2001, Cambridge University Press
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50038
dc.subjectHigh Energy Physics - Theory
dc.title$τ$-function for analytic curves
dc.typetext

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