Calculation of nonperturbative parameter in matrix model $\Phi^4$
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 12, Tome 187 (1991), pp. 31-39 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is studied a double asymptotic of the fourth Painlévé transcendent with large coefficients and argument when some special relation between them is satisfied. The result is applied to the calculation of a nonperturbative effect in hermitian matrix string.
@article{ZNSL_1991_187_a1,
     author = {A. V. Kitaev},
     title = {Calculation of nonperturbative parameter in matrix model~$\Phi^4$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {31--39},
     year = {1991},
     volume = {187},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1991_187_a1/}
}
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A. V. Kitaev. Calculation of nonperturbative parameter in matrix model $\Phi^4$. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 12, Tome 187 (1991), pp. 31-39. http://geodesic.mathdoc.fr/item/ZNSL_1991_187_a1/