Kharkiv Mathematical School

Encyclopedia

## Scientists associated with the Kharkiv mathematical school

- Aleksandr LyapunovAleksandr LyapunovAleksandr Mikhailovich Lyapunov was a Russian mathematician, mechanician and physicist. His surname is sometimes romanized as Ljapunov, Liapunov or Ljapunow....

(e.g., Lyapunov functionLyapunov functionIn the theory of ordinary differential equations , Lyapunov functions are scalar functions that may be used to prove the stability of an equilibrium of an ODE. Named after the Russian mathematician Aleksandr Mikhailovich Lyapunov, Lyapunov functions are important to stability theory and control...

, Lyapunov exponentLyapunov exponentIn mathematics the Lyapunov exponent or Lyapunov characteristic exponent of a dynamical system is a quantity that characterizes the rate of separation of infinitesimally close trajectories...

) - Vladimir Steklov
- Mikhail OstrogradskyMikhail Vasilievich OstrogradskyMikhail Vasilyevich Ostrogradsky was an Russian / Ukrainian mathematician, mechanician and physicist...
- Sergei BernsteinSergei Natanovich BernsteinSergei Natanovich Bernstein was a Russian and Soviet mathematician known for contributions to partial differential equations, differential geometry, probability theory, and approximation theory.-Partial differential equations:...

(e.g., Bernstein polynomialBernstein polynomialIn the mathematical field of numerical analysis, a Bernstein polynomial, named after Sergei Natanovich Bernstein, is a polynomial in the Bernstein form, that is a linear combination of Bernstein basis polynomials....

) - Dmitrii SintsovDmitrii SintsovDmitrii Matveevich Sintsov was a Russian mathematician known for his work in the theory of conic sections and non-holonomic geometry....
- Naum AkhiezerNaum Ilyich AkhiezerNaum Ilyich Akhiezer was a Soviet mathematician of Jewish origin, known for his works in approximation theory and the theory of differential and integral operators.. He is also known as the author of classical books on various subjects in analysis, and for his work on the history of mathematics...
- Lev LandauLev LandauLev Davidovich Landau was a prominent Soviet physicist who made fundamental contributions to many areas of theoretical physics...

(e.g., Landau theoryLandau theoryLandau theory in physics was introduced by Lev Landau in an attempt to formulate a general theory of second-order phase transitions. He was motivated to suggest that the free energy of any system should obey two conditions: that the free energy is analytic, and that it obeys the symmetry of the...

, Ginzburg–Landau theory) - Vladimir MarchenkoVladimir MarchenkoVladimir Marchenko is a Ukrainian mathematician 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...
- Boris Levin
- Aleksei PogorelovAleksei PogorelovAleksei Vasil'evich Pogorelov , was a Soviet and Ukrainian mathematician. He was most famous for his contributions to convex and differential geometry...
- Mikhail Kadets
- Leonid PasturLeonid PasturLeonid 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 Drinfeld

## Some currently active senior scientists

- Leonid Pastur
- Eugen Khruslov
- Mariya Shcherbina
- Igor Chueshov
- Vladimir Kadets
- Igor Chudinovich
- Iossif Ostrovskii
- Valery Korobov
- Alexander Borisenko

## Footnotes and references

- O'Connor, John J. & Robertson, Edmund F., "Kharkov Mathematical Society",
*MacTutor History of Mathematics archive*MacTutor History of Mathematics archiveThe MacTutor History of Mathematics archive is a website maintained by John J. O'Connor and Edmund F. Robertson and hosted by the University of St Andrews in Scotland... - Mathematics in Kharkov (in Russian)
- Kharkov Mathematical Society (in Russian)
- Journal of Mathematical Physics, Analysis, Geometry