Dmitri Valeryevich Treschchow

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Dmitri Valerjewitsch Treschtschow , Russian Дмитрий Валерьевич Трещёв , English transcription Dmitrii Valer'evich Treschev, (born October 25, 1964 in Olenegorsk , Murmansk Oblast ) is a Soviet mathematician and mechanics expert.

Treschtschow studied at the Lomonossow University with his doctorate in 1988 (dissertation: Geometric methods of the investigation of periodic orbits of dynamic systems) and habilitation in 1992. He has been director at the Steklow Institute in Moscow since 2017 , where he has been researching since 2005, and professor since 1998 at Lomonosov University. Since 2006 he has headed the theoretical mechanics department.

It deals with dynamic systems, especially integrability, dynamic stability, KAM theory , separatrix -Aufspaltung, Arnold diffusion, Chaos in Hamiltonian systems, ergodic theory and averaging methods in systems with fast and slow components.

In 2007 he received the Lyapunov Prize . He has been a corresponding member of the Russian Academy of Sciences since 2003 and a full member since 2016. In 2002 he was a lecturer at the International Congress of Mathematicians in Beijing (Continuous averaging in dynamical systems).

Books

  • VV Kozlov , DV Treshchev: Billards: A Genetic Introduction to the Dynamics of Systems with Impacts, American Mathematical Society 1991
  • Treshchev: Introduction to the Perturbation Theory of Hamiltonian Systems, Moscow 1998 (Russian)

Web links