Vladimir Bogachev

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Vladimir Igorevich Bogachev (

Vladimir Bogachev is one of the most cited Russian mathematicians. He is the author of more than 200 publications and 12 monographs. His total citation index by MathSciNet is 2960, with h-index=23 (by September 2021)^[5]

Biography

Bogachev graduated with honours from Moscow State University (1983). In 1986, he received his PhD (Candidate of Sciences in Russia) under the supervision of Prof. O. G. Smolyanov.^[6]

Awards

• The medal and the prize of the Academy of Sciences of the Soviet Union (1990)
• Award of the Japan Society for the Promotion of Science (2000)
• The Doob Lecture of the Bernoulli Society (2017)
• The Kolmogorov Prize of the Russian Academy of Sciences (2018)

Scientific contributions

In 1984, V. Bogachev resolved three

, which had remained open for about 20 years.

A remarkable achievement of Vladimir Bogachev is the recently obtained (2021) answer to the question of

diffusion coefficient

and locally bounded drift has a unique probabilistic solution on ${\displaystyle \mathbb {R} ^{1}}$, and in ${\displaystyle \mathbb {R} ^{>1}}$ this is not true even for smooth drift.

Main Publications

Papers

• Bogachev V.I.,
  J. Funct. Anal.
  , V. 133, N 1, P. 168–223 (1995)
• Comm. Pure Appl. Math.
  , V. 52, P. 325–362 (1999)
• Bogachev V.I., Krasovitskii T.I., Shaposhnikov S.V. On uniqueness of probability solutions of the Fokker–Planck–Kolmogorov equation, Sb. Math., V. 212, N 6, P. 745–781 (2021)

Books

• Bogachev V.I. Gaussian measures. American Mathematical Society, Rhode Island, 1998
• Bogachev V.I. Measure theory. V. 1,2. Springer-Verlag, Berlin, 2007
• Bogachev V.I. Weak convergence of measures, American Mathematical Society, Rhode Island, 2018.

References