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Information × Registration Number 0126U001858, R & D request Title Ensembles of random matrices, models of quantum multilevel and multiparticle systems, nonlinear integral equations, and abstract evolutionary equations Head Mariia V. Shcherbyna, д.ф.-м.н. Registration Date 12-02-2026 Organization B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine popup.description1 The aim of the work is to develop new methods of spectral analysis of large random matrices and to study new classes of non-self-adjoint random matrices; to construct exact solutions of models of multilevel and multiparticle low-dimensional systems of modern quantum theoretical physics and to analyze their possible use in quantum informatics and electronics; to perform rigorous asymptotic analysis of non-decaying solutions to the nonlinear evolutionary equations; to obtain conditions for solvability and stability of abstract evolutionary equations and control systems. popup.nrat_date 2026-02-12 Close