Spelling suggestions: "subject:"isomonodromy taux function"" "subject:"monodromic taux function""
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Connection Problem for Painlevé Tau FunctionsProkhorov, Andrei 08 1900 (has links)
Indiana University-Purdue University Indianapolis (IUPUI) / We derive the differential identities for isomonodromic tau functions, describing their
monodromy dependence. For Painlev´e equations we obtain them from the relation of tau
function to classical action which is a consequence of quasihomogeneity of corresponding
Hamiltonians. We use these identities to solve the connection problem for generic solution
of Painlev´e-III(D8) equation, and homogeneous Painlev´e-II equation.
We formulate conjectures on Hamiltonian and symplectic structure of general isomonodromic deformations we obtained during our studies and check them for Painlev´e equations.
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