The Collected Works of Anatole Katok
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The Collected Works of Anatole Katok
Volume 1
World Scientific Publishing
ISBN: 9789811238062
Fecha de Publicación:
2023 July 7
Precio: $310.00
Breve Descripción
Estos volúmenes recogen la mayor parte de los trabajos de Anatole Katok, uno de los fundadores de la teoría de los sistemas dinámicos moderna. El trabajo de Katok refleja medio siglo de investigación en matemáticas e incluye teoría ergódica, dinámicas suaves hiperbólicas, elípticas y parabólicas, así como acciones de rango superior. Los artículos de Katok cubren una gama extremadamente amplia de temas en dinámica y contienen muchas contribuciones seminales que tuvieron un gran impacto en desarrollos posteriores y ahora son ampliamente reconocidos como clásicos.
Breve descrição
Esses volumes reúnem a maior parte das obras de Anatole Katok, um dos fundadores da moderna teoria dos sistemas dinâmicos. O trabalho de Katok reflete meio século de pesquisa em matemática e inclui teoria ergódica, dinâmica suave hiperbólica, elíptica e parabólica, bem como ações de maior alcance. Os artigos de Katok abrangem uma gama extremamente ampla de tópicos em dinâmica e contêm muitas contribuições seminais que tiveram um grande impacto em desenvolvimentos posteriores e agora são amplamente reconhecidos como clássicos.
Full description
These volumes collect most of the papers of Anatole Katok, one of the founders of the modern theory of dynamical systems. Katok's work reflects half a century of research in mathematics and includes ergodic theory, hyperbolic, elliptic, and parabolic smooth dynamics, as well as higher-rank actions. Katok's papers cover an extremely broad range of topics in dynamics, and they contain many seminal contributions that had great impact on later developments and are now widely recognized as classical.
Katok also authored numerous historical and biographical papers, and these contain accounts of crucial developments from the point of view of one of the main protagonists.
Besides papers which have already appeared in academic journals, this collection includes several previously unpublished papers as well as some whose English translation appears here for the first time.
These collected works are organized by topic into six chapters, each featuring an introduction written by respective leading specialists. Volume I focuses on the following topics: Hyperbolicity, Entropy, Geodesic Flows, Interval Exchange Transformations, Billiards, Twist Maps, Spectral Theory, Approximations, Combinatorial Constructions, and History of Dynamics.
Formal Science
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