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تسجيل مستخدم جديدOn the connection problem for Painleve I
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We study the dependence of the tau function of Painleve I equation on the generalized monodromy of the associated linear problem. In particular, we compute connection constants relating the tau function asymptotics on five canonical rays at infinity. The result is expressed in terms of dilogarithms of cluster type coordinates on the space of Stokes data.
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