Pastur, Leonid Andreevich

Born August 21, 1937 in the village. Udich, Dzhulinsky district, Vinnitsa region.

In 1961, he graduated from the Engineering Physics Department of the Kharkov Polytechnic Institute and has since been working at the Physicotechnical Institute for Low Temperatures named after B.I. Verkina NAS of Ukraine in Kharkov. A wide range of scientific interests, a deep understanding of problems and inexhaustible energy have been inherent in Leonid Andreyevich for many years. His research interests cover a wide range of issues in modern mathematics, mathematical physics and theoretical physics.

L. A. Pastur is one of the founders of the spectral theory of random and almost periodic operators — the branch of mathematics and mathematical physics, which is intensively developing all over the world and is widely used. His ideas and discoveries in this area have already become classic and are widely used in numerous studies in our country and abroad. They are presented in the monograph Spectra of Random and Almost Periodic Operators, and, to a large extent, have become the basis of modern theory.

The scientific style of the scientist is inherent in an organic combination of both a mathematical and a theorophysical approach to the study of problems. Thus, progress in understanding and theoretical description of disordered systems (in particular, in the theory of elementary excitations and phase transitions) was achieved thanks to the works of L. A. Pastur. It is worth mentioning his fundamental results in such fields of science as self-averaging of basic physical quantities, properties of the spectrum and density of substances, as well as the justification of complete localization in disordered one-dimensional and some incommensurate systems, research on the propagation of waves and particles in disordered media. The monograph "Introduction to the Theory of Disordered Systems", which was written by Pastur in collaboration with I. M. Lifshits and S. A. Gredeskul, became an integral component of the education of the modern theoretical physicist, and its authors were awarded the State Prize of the Ukrainian SSR in the field of science and technology 1985 year.

Among the widely known results of Leonid Andreevich, one should also note the equation for the density of states and a detailed study of the universality properties of local statistics of energy levels and a number of results from the theory of disordered magnets. For a series of works on field theory and the theory of disordered systems, L. A. Pastur was awarded the Academic Prize to them. M. M. Bogolyubova.

For many years, the scientist has been actively organizing and teaching. A lot of energy and energy was invested by L. A. Pastur in the development of the Physicotechnical Institute of Low Temperatures named after B.I. Verkina , working as deputy director for scientific work and head of the mathematical department of the institute and heading the mathematical and physical departments. Today he is the head of the Theoretical Physics Department at FTINT and the editor-in-chief of the Journal of Mathematical Physics, Analysis, and Geometry .

Leonid Andreevich actively collaborates with the international scientific community: he is a member of the editorial boards of the Ukrainian Mathematical Journal, the scientific journal Low Temperature Physics , has repeatedly participated in national and international committees and commissions, was chairman of the Fundamental Research Fund of Ukraine and a member of the Executive Committee of the International associations of mathematical physics.

An organic continuation of the scientific activity of L. A. Pastur is work with the young generation of scientists both at Kharkov University and in higher educational institutions of France, Great Britain, Japan and other countries.

• Pastur, Leonid Andreevich