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 On a Method for Proving Exact Bounds on Derivational Complexity in Thue SystemsS. I. Adian 3 Lower Bound for the Lebesgue Function of an Interpolation Process with Algebraic Polynomials on Equidistant Nodes of a SimplexN. V. Baidakova 19 Complexity of Approximate Realizations of Lipschitz Functions by Schemes in Continuous BasesYa. V. Vegner, S. B. Gashkov 27 The Question of the Definability of Abelian Groups by the Centers of Their Endomorphism RingsV. K. Vildanov, A. M. Sebel'din 44 An Ultrametricity Condition for Pretangent SpacesA. A. Dovgoshey, D. V. Dordovskij 49 How Best to Recover a Function from Its Inaccurately Given Spectrum?G. G. Magaril-Il'yaev, K. Yu. Osipenko 59 Representation of Certain Logarithmic Functions as Polynomials with a Small Number of Nonzero CoefficientsV. S. Rainchik 68 On the Boundary-Value Problem for a Class of Equations of Mixed Type in an Unbounded DomaiM. Kh. Ruziev 74 Integral Functionals for the Exponential of the Wiener Process and the Brownian Bridge: Exact Asymptotics and Legendre FunctionsV. R. Fatalov 84 Semi-Invariants of 2-Representations of QuiversS. N. Fedotov 106 Divisibility of Fermat QuotientsYu. N. Shteinikov 116 Spectral Properties of Evolutionary Operators in Branching Random Walk ModelsE. B. Yarovaya 123 Brief Communications Estimates for the Eigenfunctions of the Regge ProblemG. A. Aigunov, H. F. Jwamer Karwan, G. A. Djalaeva 141 Stability of Nondissipative Systems under Persistent Random PerturbationsL. A. Kalyakin 145 A Necessary Condition for the Convergence of Simple Partial Fractions in $L_p(\mathbb R)$I. R. Kayumov 149 Phase Space Geometry for a Wave Equation Degenerating on the Boundary of the DomainV. E. Nazaikinskii 153