Tikhomirov, A. N.
Published in
Siberian Advances in Mathematics

Abstract We prove the Wigner law for conjugacy matrices of generalized non-oriented weighted random graphs under some simple conditions on probabilities of the graph edges.

Beshtokov, M. Kh. Erzhibova, F. A.
Published in
Siberian Advances in Mathematics

Abstract The article is devoted to the study of boundary value problems for a fractional-order convection-diffusion equation with memory effect. We construct two-layer monotone schemes with weights of the second order accuracy with respect to the time and space variables. We prove the uniqueness and stability for the solution with respect to the in...

Galt, A. A. Staroletov, A. M.
Published in
Siberian Advances in Mathematics

Abstract Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$G $$\end{document} be a finite group of Lie type \documentclass[12pt]{minimal} \usepackage{amsmath} \usepac...

Marchuk, M. I.
Published in
Siberian Advances in Mathematics

Abstract We study the degrees of decidable categoricity for almost prime models and their relationship with the degrees of the sets of complete formulas. We show that a result of Goncharov, Harizanov, and Miller for models of infinite signature is valid for models of the signature of graphs.

Beshtokov, M. Kh. Erzhibova, F. A.
Published in
Siberian Advances in Mathematics

Abstract The article is devoted to the study of boundary value problems for a fractional-order convection-diffusion equation with memory effect. We construct two-layer monotone schemes with weights of the second order accuracy with respect to the time and space variables. We prove the uniqueness and stability for the solution with respect to the in...

Mogul’skiĭ, A. A. Prokopenko, E. I.
Published in
Siberian Advances in Mathematics

Abstract We study two types of multidimensional compound renewal processes (c.r.p.). We assume that the elements of the sequences that control the processes satisfy Cramér’s moment condition. Wide conditions are proposed under which the large deviation principle holds for finite-dimensional distributions of the processes.

Korobov, A. A. Korobov, O. A.
Published in
Siberian Advances in Mathematics

Abstract We investigate the Diophantine equation of the form \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x^2-dy^2=4t $$\end{document}, with \documentclass[12pt]{min...

Sevost’yanov, E. A.
Published in
Siberian Advances in Mathematics

Abstract We study the quotient spaces of the unit ball by some group of Möbius transformations. For mappings of such spaces, we obtain a bound for the distortion of a modulus of a family of spheres. As an application, we prove theorems on the local and boundary behavior of Orlicz–Sobolev classes on the quotient spaces.

Berestovskiĭ, V. N. Nikonorov, Yu. G.
Published in
Siberian Advances in Mathematics

Abstract The paper is devoted to the study of the metric properties of regular and semiregular polyhedra in Euclidean spaces. In the first part, we prove that every regular polytope of dimension greater or equal than 4, and different from 120-cell in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usep...

Busel, T. S. Suprunenko, I. D.
Published in
Siberian Advances in Mathematics

Abstract This is the final part of the paper on the dimensions of Jordan blocks in the images of regular unipotent elements from subsystem subgroups of type \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\odd...