http://dspace.nbuv.gov.ua:80/handle/123456789/106657 2026-04-19T05:36:03Z http://dspace.nbuv.gov.ua:80/handle/123456789/106673 Памяти Михаила Иосифовича Кадеца 7 марта 2011 года на 88-м году жизни скончался Михаил Иосифович Кадец — выдающийся математик, один из ярких представителей харьковской математической школы. 2011-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106672 Erratum to the paper I.A. Ryzhkova "On Trace Regularity of Solutions to a Wave Equation with Homogeneous Neumann Boundary Conditions" (J.Math. Phys. Anal. Geom., 3 (2007), No. 4, 468-489) 2011-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106671 Central Limit Theorem for Linear Eigenvalue Statistics of the Wigner and Sample Covariance Random Matrices Shcherbina, M. We consider two classical ensembles of the random matrix theory: the Wigner matrices and sample covariance matrices, and prove Central Limit Theorem for linear eigenvalue statistics under rather weak (comparing with results known before) conditions on the number of derivatives of the test functions and also on the number of the entries moments. Moreover, we develop a universal method which allows one to obtain automatically the bounds for the variance of differentiable test functions, if there is a bound for the variance of the trace of the resolvent of random matrix. The method is applicable not only to the Wigner and sample covariance matrices, but to any ensemble of hermitian or real symmetric random matrices. 2011-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106670 On Stability of a Unit Ball in Minkowski Space with Respect to Self-Area Shcherba, A.I. The author expresses his sincere gratitude to V.I. Diskant for his useful discussions of the considered problem. 2011-01-01T00:00:00Z