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Zapiski Nauchnykh Seminarov POMI
Tome 187 (1991)
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Differential geometry, Lie groups and mechanics. Part 12

Sommaire


Matrix models of two-dimensional quantum gravity and isomonodromy solutions of ``discrete Painleve equations''
A. R. Its ; A. V. Kitaev ; A. S. Fokas
p. 3-30

Calculation of nonperturbative parameter in matrix model~$\Phi^4$
A. V. Kitaev
p. 31-39

Continious limit for hermitian matrix model $\Phi^6$
A. R. Its ; A. V. Kitaev
p. 40-52

Turning points of linear systems and double asymptotics of the Painlev\'e transcendents
A. V. Kitaev
p. 53-74

The limit transition $\mathbb{P}_2\to\mathbb{P}_1$
A. A. Kapaev ; A. V. Kitaev
p. 75-87

Weaknonlinear solutions of the $\mathbb{P}_1^2$ equation
A. A. Kapaev
p. 88-109

The second Painlev\'e equation at a problem about nonlinear effects near caustics
B. I. Suleimanov
p. 110-128

On symmetrical solutions for the first and second Painlev\'e equations
A. V. Kitaev
p. 129-138

Irregular singular point of the second Painlev\'e function and the nonlinear Stokes phenomenon
A. A. Kapaev
p. 139-170
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