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 An $A_{\infty}$ structure on simplicial complexesV. V. Dolotin, A. Yu. Morozov, Sh. R. Shakirov 3 Analytic description of statistics of spectra of quantum graphsYu. A. Dabaghian 38 System of equations for stimulated combination scattering and the related double periodic $A_n^{(1)}$ Toda chainsV. A. Andreev 67 Scattering of vortices in the Abelian Higgs modelR. V. Pal'velev 77 Path integral in the energy representation in quantum mechanicsP. A. Putrov 92 Structure of regular solutions of Faddeev equations near the pair impact pointV. V. Pupyshev 112 Integrable model of a two-dimensional singular spherical oscillator in a constant magnetic fieldK. S. Aramyan 131 Analytic approach to the (an)harmonic crystal chains with self-consistent stochastic reservoirsR. Falcao, A. Francisco Neto, E. Pereira 138 Upper bound on the occupation time in the simple exclusion processLi Zhimin, Mao Mingzhi 147 New concept of the nucleation processV. P. Maslov 159