http://dspace.nbuv.gov.ua:80/handle/123456789/106524 2026-04-18T20:32:04Z http://dspace.nbuv.gov.ua:80/handle/123456789/106553 Авторский указатель к тому 5 за 2009 год 2009-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106552 Международная конференция, посвященная девяностолетию со дня рождения академика Алексея Васильевича Погорелова C 22 по 26 июня 2009 года в Харькове проходила Международная конференция "Геометрия "в целом" топология и их приложения". Организаторами конференции выступили Физико-технический институт низких температур им. Б.И. Веркина НАН Украины, Харьковский национальный университет им. В.Н. Каразина, Институт математики НАН Украины и Математический институт им. В.А. Стеклова РАН. 2009-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106551 On Universality of Bulk Local Regime of the Deformed Gaussian Unitary Ensemble Shcherbina, T. We consider the deformed Gaussian Ensemble Hn = Hn⁽⁰⁾ +Mn in which Hn⁽⁰⁾ is a hermitian matrix (possibly random) and Mn is the Gaussian Unitary Ensemble (GUE) random matrix (independent of Hn⁽⁰⁾ ). Assuming that the Normalized Counting Measure of Hn⁽⁰⁾converges weakly (in probability) to a nonrandom measure N⁽⁰⁾ with a bounded support, we prove the universality of the local eigenvalue statistics in the bulk of the limiting spectrum of Hn. 2009-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106550 Long-Time Asymptotic Behavior of an Integrable Model of the Stimulated Raman Scattering with Periodic Boundary Data Moskovchenko, E.A.; Kotlyarov, V.P. The long-time asymptotic behavior of the initial-boundary value (IBV) problem in the quarter plane (x > 0, t > 0) for nonlinear integrable equations of the stimulated Raman scattering is studied. Considered is the case of zero initial condition and single-phase boundary data. By using the steepest descent method for oscillatory matrix Riemann{Hilbert problems it is shown that the solution of the IBV problem has different asymptotic behavior in different regions 2009-01-01T00:00:00Z