Vladimir Marchenko

Encyclopedia

**Vladimir Marchenko**is a Ukrainian

Ukrainians

Ukrainians are an East Slavic ethnic group native to Ukraine, which is the sixth-largest nation in Europe. The Constitution of Ukraine applies the term 'Ukrainians' to all its citizens...

mathematician

Mathematician

A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

who specializes in mathematical physics, in particular in the analysis of the Sturm–Liouville operators. He introduced one of the approaches to the inverse problem for Sturm–Liouville operators. Together with Leonid Pastur

Leonid Pastur

Leonid Andreevich Pastur is a mathematical physicist and theoretical physicist, known in particular for contributions to random matrix theory, the spectral theory of random Schrödinger operators, statistical mechanics, and solid state physics...

, Vladimir Marchenko discovered the Marchenko–Pastur law

Marchenko–Pastur distribution

In random matrix theory, the Marchenko–Pastur distribution, or Marchenko–Pastur law, describes the asymptotic behavior of singular values of large rectangular random matrices...

in random matrix theory

Random matrix

In probability theory and mathematical physics, a random matrix is a matrix-valued random variable. Many important properties of physical systems can be represented mathematically as matrix problems...

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He has authored over 100 scientific articles, including 7 monograph

Monograph

A monograph is a work of writing upon a single subject, usually by a single author.It is often a scholarly essay or learned treatise, and may be released in the manner of a book or journal article. It is by definition a single document that forms a complete text in itself...

s. He defended his PhD

PHD

PHD may refer to:*Ph.D., a doctorate of philosophy*Ph.D. , a 1980s British group*PHD finger, a protein sequence*PHD Mountain Software, an outdoor clothing and equipment company*PhD Docbook renderer, an XML renderer...

thesis in 1948 under the supervision of Naum Landkof, and the doctoral dissertation in 1951. He became professor

Professor

A professor is a scholarly teacher; the precise meaning of the term varies by country. Literally, professor derives from Latin as a "person who professes" being usually an expert in arts or sciences; a teacher of high rank...

at Kharkov State University in 1952. In 1961 he joined the newly created Kharkov Institute for Low Temperature Physics and Engineering, where he took an active part in the organization of Mathematical Division. In 1962 he won Lenin Prize

Lenin Prize

The Lenin Prize was one of the most prestigious awards of the USSR, presented to individuals for accomplishments relating to science, literature, arts, architecture, and technology. It was created on June 23, 1925 and was awarded until 1934. During the period from 1935 to 1956, the Lenin Prize was...

(together with Boris Levitan

Boris Levitan

Boris Levitan was a mathematician known in particular for his work on almost periodic functions, and Sturm–Liouville operators, especially, on inverse scattering.-Life:...

) for his work considering the solution of the inverse scattering problem

Inverse scattering problem

In the physics field of of scattering theory, the inverse scattering problem is that of determining characteristics of an object based on data of how it scatters incoming radiation or particles....

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