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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1991 Volume 187, Pages 40–52 (Mi znsl4861)

This article is cited in 1 paper

Continious limit for hermitian matrix model $\Phi^6$

A. R. Its, A. V. Kitaev


Abstract: Double scaling limit of hermitian matrix model $\Phi^6$ to the first Painlevé equation ($\mathbb{P}_1$) and the next higher equation in $\mathbb{P}_1$ hierarchy ($\mathbb{P}_1^2$) is studied. In the first case is proved to obtain the desired limit the contour of integration must be modified. In the second case is shown that the limit exists without any modification.

UDC: 517.957


 English version:
Journal of Mathematical Sciences, 1995, 73:4, 436–445

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