Victor Pavlovich Maslov
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Viktor Pavlovich Maslov (russian: Виктор Павлович Маслов; born 15 June 1930, in
Moscow Moscow ( , US chiefly ; rus, links=no, Москва, r=Moskva, p=mɐskˈva, a=Москва.ogg) is the capital and largest city of Russia. The city stands on the Moskva River in Central Russia, with a population estimated at 13.0 million ...
) is a Russian mathematical physicist. He is a member of the
Russian Academy of Sciences The Russian Academy of Sciences (RAS; russian: Росси́йская акаде́мия нау́к (РАН) ''Rossíyskaya akadémiya naúk'') consists of the national academy of Russia; a network of scientific research institutes from across t ...
. He obtained his doctorate in physico-mathematical sciences in 1957. His main fields of interest are
quantum theory Quantum theory may refer to: Science *Quantum mechanics, a major field of physics *Old quantum theory, predating modern quantum mechanics * Quantum field theory, an area of quantum mechanics that includes: ** Quantum electrodynamics ** Quantum ch ...
,
idempotent analysis In mathematical analysis, idempotent analysis is the study of idempotent semirings, such as the tropical semiring In idempotent analysis, the tropical semiring is a semiring of extended real numbers with the operations of minimum (or maximum) and ...
, non-commutative analysis,
superfluidity Superfluidity is the characteristic property of a fluid with zero viscosity which therefore flows without any loss of kinetic energy. When stirred, a superfluid forms vortices that continue to rotate indefinitely. Superfluidity occurs in two i ...
,
superconductivity Superconductivity is a set of physical properties observed in certain materials where electrical resistance vanishes and magnetic flux fields are expelled from the material. Any material exhibiting these properties is a superconductor. Unlike ...
, and
phase transitions In chemistry, thermodynamics, and other related fields, a phase transition (or phase change) is the physical process of transition between one state of a medium and another. Commonly the term is used to refer to changes among the basic states of ...
. He is editor-in-chief of ''
Mathematical Notes ''Mathematical Notes'' is a peer-reviewed mathematical journal published by Springer Science+Business Media on behalf of the Russian Academy of Sciences that covers all aspects of mathematics. It is an English language translation of the Russian- ...
'' and ''
Russian Journal of Mathematical Physics Russian(s) refers to anything related to Russia, including: *Russians (, ''russkiye''), an ethnic group of the East Slavic peoples, primarily living in Russia and neighboring countries *Rossiyane (), Russian language term for all citizens and peo ...
''. The
Maslov index In mathematics, the Lagrangian Grassmannian is the smooth manifold of Lagrangian subspaces of a real symplectic vector space ''V''. Its dimension is ''n''(''n'' + 1) (where the dimension of ''V'' is ''2n''). It may be identified with the homogene ...
is named after him. He also introduced the concept of
Lagrangian submanifold In differential geometry, a subject of mathematics, a symplectic manifold is a smooth manifold, M , equipped with a closed nondegenerate differential 2-form \omega , called the symplectic form. The study of symplectic manifolds is called sy ...
.


Biography

Maslov was born on 1930 in Moscow. He was the son of statistician Pavel Maslov and researcher Izolda Lukomskaya. At the beginning of
World War II World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the vast majority of the world's countries—including all of the great powers—forming two opposin ...
, he was evacuated to
Kazan Kazan ( ; rus, Казань, p=kɐˈzanʲ; tt-Cyrl, Казан, ''Qazan'', IPA: ɑzan is the capital and largest city of the Republic of Tatarstan in Russia. The city lies at the confluence of the Volga and the Kazanka rivers, covering a ...
with his mother, grandmother and other members of his mother's family. In 1953 he graduated from the Physics Department of the
Moscow State University M. V. Lomonosov Moscow State University (MSU; russian: Московский государственный университет имени М. В. Ломоносова) is a public research university in Moscow, Russia and the most prestigious ...
and taught at the university. In 1957 he defended his
Ph.D A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common Academic degree, degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields ...
.
thesis A thesis ( : theses), or dissertation (abbreviated diss.), is a document submitted in support of candidature for an academic degree or professional qualification presenting the author's research and findings.International Standard ISO 7144: ...
and in 1966, his doctoral dissertation. In 1984, he was elected an academician within Department of Mathematics of the
Academy of Sciences of the USSR The Academy of Sciences of the Soviet Union was the highest scientific institution of the Soviet Union from 1925 to 1991, uniting the country's leading scientists, subordinated directly to the Council of Ministers of the Soviet Union (until 1946 ...
. From 1968 to 1998, he headed the Department of Applied Mathematics at the
Moscow Institute of Electronics and Mathematics Moscow Institute of Electronics and Mathematics, MIEM (russian: Московский институт электроники и математики НИУ ВШЭ, МИЭМ; also occasionally referred to as ''Moscow Institute of Electronic Enginee ...
. From 1992 to 2016, he was in charge of the Department of Quantum Statistics and Field Theory of the Physics Faculty of Moscow State University. Maslov headed the laboratory of the mechanics of natural disasters at the Institute for Problems in Mechanics of the
Russian Academy of Sciences The Russian Academy of Sciences (RAS; russian: Росси́йская акаде́мия нау́к (РАН) ''Rossíyskaya akadémiya naúk'') consists of the national academy of Russia; a network of scientific research institutes from across t ...
. Currently, he is a research professor at the Department of Applied Mathematics at Moscow Institute of Electronics and Mathematics of
Higher School of Economics HSE University (russian: link=no, «Высшая школа экономики», ВШЭ), officially the National Research University Higher School of Economics (russian: link=no, Национальный исследовательский ун ...
.


Scientific acitivity

Maslov is known as a prominent specialist in the field of
mathematical physics Mathematical physics refers to the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and t ...
,
differential equations In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, an ...
,
functional analysis Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. Inner product space#Definition, inner product, Norm (mathematics)#Defini ...
,
mechanics Mechanics (from Ancient Greek: μηχανική, ''mēkhanikḗ'', "of machines") is the area of mathematics and physics concerned with the relationships between force, matter, and motion among physical objects. Forces applied to objects r ...
and
quantum physics Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistry, qua ...
. He developed asymptotic methods that are widely applied to equations arising in quantum mechanics, field theory, statistical physics and abstract mathematics, that bear his name. Maslov's asymptotic methods are closely related to such problems as the theory of a self-consistent field in quantum and classical statistics, superfluidity and superconductivity, quantization of
soliton In mathematics and physics, a soliton or solitary wave is a self-reinforcing wave packet that maintains its shape while it propagates at a constant velocity. Solitons are caused by a cancellation of nonlinear and dispersive effects in the medium ...
s, quantum field theory in strong external fields and in curved space-time, the method of expansion in the inverse number of particle types. In 1983, he attended the
International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...
in
Warsaw Warsaw ( pl, Warszawa, ), officially the Capital City of Warsaw,, abbreviation: ''m.st. Warszawa'' is the capital and largest city of Poland. The metropolis stands on the River Vistula in east-central Poland, and its population is officia ...
, where he presented a plenary report "Non-standard characteristics of asymptotic problems". He dealt with the problems of liquid and gas, carried out fundamental research on the problems of
magnetohydrodynamics Magnetohydrodynamics (MHD; also called magneto-fluid dynamics or hydro­magnetics) is the study of the magnetic properties and behaviour of electrically conducting fluids. Examples of such magneto­fluids include plasmas, liquid metals, ...
related to the dynamo problem. He also made calculations for the emergency unit of the
Chernobyl nuclear power plant The Chernobyl Nuclear Power Plant (ChNPP; ; ), is a nuclear power plant undergoing decommissioning. ChNPP is located near the abandoned city of Pripyat in northern Ukraine northwest of the city of Chernobyl, from the Belarus–Ukraine border, ...
during the 1986 disaster. In 1991, he made model and forecasts of the economic situation in Russia. Since the early 1990s, he has been working on the use of equations of mathematical physics in economics and financial analysis. In particular, he managed to predict the
1998 Russian financial crisis The Russian financial crisis (also called the ruble crisis or the Russian flu) began in Russia on 17 August 1998. It resulted in the Russian government and the Russian Central Bank devaluing the ruble and defaulting on its debt. The crisis had s ...
, and even earlier, the collapse of the economic and, as a consequence, the collapse of the political system of the USSR. In 2008, Maslov in his own words predicted a global recession in the late 2000s. He calculated the critical number of U.S. debt, and found out that a crisis should break out in the near future. In the calculations, he used equations similar to the equations of phase transition in physics. In the mid-1980s, Maslov introduced the term
tropical mathematics In mathematics, tropical geometry is the study of polynomials and their geometric properties when addition is replaced with minimization and multiplication is replaced with ordinary addition: : x \oplus y = \min\, : x \otimes y = x + y. So fo ...
, in which the operations of the conditional optimization problem were considered.


Personal life

In the early 1970s, he met
Lê Vũ Anh Lê Vũ Anh (1950 – 1981) was a daughter of former General Secretary of the Communist Party of Vietnam Lê Duẩn. Early life Lê Vũ Anh was born in 1950. She was the eldest daughter of Lê Duẩn and his second wife Nguyễn Thụy Nga. At t ...
. She was the daughter of
Lê Duẩn Lê Duẩn (; 7 April 1907 – 10 July 1986) was a Vietnamese communist politician. He rose in the party hierarchy in the late 1950s and became General Secretary of the Central Committee of the Communist Party of Vietnam (VCP) at the 3rd Nat ...
, the
General Secretary of the Communist Party of Vietnam The General Secretary of the Central Committee of the Communist Party of Vietnam ( vi, Tổng Bí thư Ban Chấp hành Trung ương Đảng Cộng sản Việt Nam), known as First Secretary ( vi, Bí thư Thứ nhất) from 1960 to 1976, is t ...
, and was student at the Faculty of Physics in Moscow State University. The romance was considered scandalous because Vietnamese students studying abroad were not allowed to have romantic relationships with foreigners and anyone caught red-handed would have to be examined or may be sent back to Vietnam. In order to avoid trouble, she returned home to marry a Vietnamese student from the same university and wanted to stay in Vietnam to forget her love affair with Maslov. However, she was forced by her father to return to USSR to complete her studies. When she and her husband returned to Moscow, Anh realized that she did not love her husband and could not forget her lover. She decided to live separately from her husband and secretly went back and forth with Maslov. After being pregnant for the second time, after having a miscarriage for the first time, Anh had enough energy to ask her husband for a divorce in order to be able to marry Maslov. In 1975, she and Maslov married. She gave birth to a daughter on 31 October 1977 named Lena. Meeting her father by chance when he went to USSR for a state visit, Anh confessed all her love affairs. Lê Duẩn did not accept it and tried to lure her back to the country. However, Anh gradually reconciled with her family. After giving birth to her second daughter Tania, Anh gave birth to her son, Anton, on 1981. Anh died shortly after giving birth to her son, due to
hemorrhage Bleeding, hemorrhage, haemorrhage or blood loss, is blood escaping from the circulatory system from damaged blood vessels. Bleeding can occur internally, or externally either through a natural opening such as the mouth, nose, ear, urethra, vag ...
. Immediately after Anh died, a dispute over custody of his three children with his wife's family occurred. An official from the
Vietnamese Communist Party The Communist Party of Vietnam (CPV), also known as the Vietnamese Communist Party (VCP), is the founding and sole legal party of the Socialist Republic of Vietnam. Founded in 1930 by Hồ Chí Minh, the CPV became the ruling party of North ...
's Central Committee took over the communication between Maslov and Anh's family. Both sides proposed a compromise solution, Maslov kept his daughters and son would be returned to Lê Duẩn. Maslov only allowed his son to go to Vietnam for two years. But after the deadline, his son never returned to him. Maslov had to fight for two more years before Lê Duẩn accepted to bring his grandson to meet his father. However, the son that Maslov met was no longer Anton Maslov as before, but a Vietnamese citizen with the new name Nguyễn An Hoàn and he was unable to speak Russian. According to Maslov, Lê Duẩn does not intend to return the child, but also hopes to bring back his daughters. Fearing the loss of his children, Maslov contacted the son of the President of the
Supreme Soviet of the Soviet Union The Supreme Soviet of the Union of Soviet Socialist Republics ( rus, Верховный Совет Союза Советских Социалистических Республик, r=Verkhovnyy Sovet Soyuza Sovetskikh Sotsialisticheskikh Respubl ...
Andrei Gromyko Andrei Andreyevich Gromyko (russian: Андрей Андреевич Громыко; be, Андрэй Андрэевіч Грамыка;  – 2 July 1989) was a Soviet communist politician and diplomat during the Cold War. He served as ...
, a close friend of
Soviet leader During its 69-year history, the Soviet Union usually had a ''de facto'' leader who would not necessarily be head of state but would lead while holding an office such as premier or general secretary. Under the 1977 Constitution, the chairman ...
Mikhail Gorbachev Mikhail Sergeyevich Gorbachev (2 March 1931 – 30 August 2022) was a Soviet politician who served as the 8th and final leader of the Soviet Union from 1985 to dissolution of the Soviet Union, the country's dissolution in 1991. He served a ...
. He was advised to write to Gorbachev and was promised to convince Gorbachev to read it. After a massive legal struggle, Lê Duẩn gave up the idea of taking him and his children back. As of present, his children currently reside in
England England is a country that is part of the United Kingdom. It shares land borders with Wales to its west and Scotland to its north. The Irish Sea lies northwest and the Celtic Sea to the southwest. It is separated from continental Europe b ...
and
Netherlands ) , anthem = ( en, "William of Nassau") , image_map = , map_caption = , subdivision_type = Sovereign state , subdivision_name = Kingdom of the Netherlands , established_title = Before independence , established_date = Spanish Netherl ...
, where they are highly successful in their respective professions. Maslov later re-married a woman named Irina, who was at the same age as his ex-wife Anh. Irina is a linguist and she received the title of Associate
Doctor of Science Doctor of Science ( la, links=no, Scientiae Doctor), usually abbreviated Sc.D., D.Sc., S.D., or D.S., is an academic research degree awarded in a number of countries throughout the world. In some countries, "Doctor of Science" is the degree used f ...
in 1991. For the last three decades, he has been living in
Troitsk Troitsk (russian: Троицк) is the name of several types of inhabited localities in Russia, inhabited localities in Russia. Modern localities ;Urban localities *Troitsk, Chelyabinsk Oblast, a town in Chelyabinsk Oblast; *Troitsk, Moscow, a tow ...
.


Selected books

* *Karasëv, M. V.; Maslov, V. P.: ''Nonlinear Poisson brackets. Geometry and quantization.'' Translated from the Russian by A. Sossinsky . B. Sosinskiĭand M. Shishkova. Translations of Mathematical Monographs, 119. American Mathematical Society, Providence, RI, 1993. *Kolokoltsov, Vassili N.; Maslov, Victor P.: ''Idempotent analysis and its applications.'' Translation of ''Idempotent analysis and its application in optimal control'' (Russian), "Nauka" Moscow, 1994. Translated by V. E. Nazaikinskii. With an appendix by Pierre Del Moral. Mathematics and its Applications, 401. Kluwer Academic Publishers Group, Dordrecht, 1997. *Maslov, V. P.; Fedoriuk, M. V.: ''Semi-classical approximation in quantum mechanics.'' Translated from the Russian by J. Niederle and J. Tolar. Mathematical Physics and Applied Mathematics, 7. Contemporary Mathematics, 5. D. Reidel Publishing Co., Dordrecht-Boston, Mass., 1981. ::This book was cited over 700 times at
Google Scholar Google Scholar is a freely accessible web search engine that indexes the full text or metadata of scholarly literature across an array of publishing formats and disciplines. Released in beta in November 2004, the Google Scholar index includes p ...
in 2011. *Maslov, V. P. ''Operational methods.'' Translated from the Russian by V. Golo, N. Kulman and G. Voropaeva. Mir Publishers, Moscow, 1976.


References


External links

* {{DEFAULTSORT:Maslov, Viktor Academic staff of the Moscow Institute of Electronics and Mathematics 20th-century Russian physicists 20th-century Russian mathematicians 21st-century Russian mathematicians 21st-century Russian physicists Recipients of the USSR State Prize State Prize of the Russian Federation laureates Soviet physicists Soviet mathematicians Full Members of the USSR Academy of Sciences Full Members of the Russian Academy of Sciences 1930 births Living people Lenin Prize winners Demidov Prize laureates Academic staff of the Higher School of Economics