Background
Treshchev, Dmitry Valerjevich was born on October 25, 1964 in Murmansk, Union of the Soviet Socialist Republics. Son of Valery V. and Galina M. (Ivanova) Treshchev.
(Starting with the work of G. D. Birkhoff, billiards have ...)
Starting with the work of G. D. Birkhoff, billiards have been a popular research topic drawing on such areas as ergodic theory, Morse theory, and KAM theory. Billiard systems are also remarkable in that they arise naturally in a number of important problems of mechanics and physics. This book is devoted to mathematical aspects of the theory of dynamical systems of billiard type. Focusing on the genetic approach, the authors strive to clarify the genesis of the basic ideas and concepts of the theory of dynamical systems with impact interactions and also to demonstrate that these methods are natural and effective. Recent limit theorems, which justify various mathematical models of impact theory, are key features. Questions of existence and stability of periodic trajectories of elastic billiards occupy a special place in the book, and considerable attention is devoted to integrable billiards. A brief survey is given of work on billiards with ergodic behavior. Each chapter ends with a list of problems.
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Mechanics and mathematics researcher
Treshchev, Dmitry Valerjevich was born on October 25, 1964 in Murmansk, Union of the Soviet Socialist Republics. Son of Valery V. and Galina M. (Ivanova) Treshchev.
Candidate in physics and mathematics, Lomonsov U., Moscow, 1988; D in Physics and Mathematics, Lomonsov U., Moscow, 1992.
Researcher department mechanics and mathematics, Lomonosov U., 1988-1993; leading researcher department mechanics and mathematics, Lomonosov U., since 1993.
(Starting with the work of G. D. Birkhoff, billiards have ...)
Married Tatjana V. Kozina, June 21, 1986. 1 child, Viktor D.