St. Petersburg Mathematical Journal, 17. cilt,1-551. sayfalar

absolutely continuous algebraic solutions amoebas analytic arbitrary assume asymptotic badly approximable Belyi function Bose gas bounded coefficients coincides compact condition conjugacy classes consider constant convergence convex Corollary correlation functions corresponding curves defined definition deformation denote dessins diagram differential dimension Dirac operator discrete edges eigenvalues element English transl equivalent estimate exists finite matrix functions formula G-cycle geodesic given Goursat problem graph hyperbolic identity implies inequality integral intersection invariant lattice Lemma linear Lipschitz Lipschitz map locally Math Mathematics Subject Classification metric space Newton polygon notation obtain Painleve parameter Phys polygon polynomial problem proof of Theorem Proposition prove quantum R-matrix rational functions relation respectively result right-hand side satisfies selfadjoint sequence sixth Painleve equation spectrum strongly regular graph Subsection subspace Suppose symmetric Theorem 2.1 theory transformation unique variables vector vertex vertices YB equation zero