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 Piecewise smoothness of conjugate homeomorphisms of a circle with cornersA. A. Dzhalilov 179 Schrödinger–Belavkin equations and associated Kolmogorov and Lindblad equationsO. G. Smolyanov, A. Trumen 193 Upper estimate of the cardinality of the set of knots generated by one- and two-dimensional braidsR. R. Bikbov, S. K. Nechaev 208 Modulation instability of soliton trains in fiber communication systemsE. A. Kuznetsov, M. D. Spector 222 Laplace invariants of hyperbolic equations linearizable by a differential substitutionS. Ya. Startsev 237 Generalized Heisenberg equations on $\mathbb Z$-graded Lie algebrasI. Z. Golubchik, V. V. Sokolov 248 Local variational differential operators in field theoryB. L. Voronov, I. V. Tyutin, Sh. S. Shakhverdiev 256 Schrödinger operator with a perturbed small steplike potentialYu. P. Chuburin 277 Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomomentum. IIIG. M. Zhislin 291 Renormalization group, operator expansion, and anomalous scaling in a simple model of turbulent diffusionL. Ts. Adzhemyan, N. V. Antonov, A. N. Vasil'ev 309 A new class of solutions of the Dirac equationYu. G. Pavlenko, A. I. Toropova 315 Constrained superpotentials in harmonic gauge theories with eight superchargesB. M. Zupnik 324 Application restrictions for two-level models of the resonance interaction of electrons with an alternating electric field in two-barrier structuresE. I. Golant, A. B. Pashkovskii 332 Energy flows of a gravitational wave in a liquid sphereD. E. Burlankov, A. M. Samochadin 342 Appeal of Presidium of Russian Academy of Sciences “To Russian scientists and researchers, professors in colleges and universities, teachers in schools and institutes, all members of the Russian intellectual community” 352