Modern Aspects of Dynamical Systems
Cetraro, Italy 2021
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Beschreibung
This book provides an overview of recent advances in the theory of dynamical systems, with a particular emphasis on their connections to other areas of mathematical research, including number theory, geometry, mathematical physics, complex analysis, and celestial mechanics. Compiling the lecture notes from some of the contributions presented at the C.I.M.E. school "Modern Aspects of Dynamical Systems" held in Cetraro in August 2021, the contributions are the following: “Homogeneous dynamics and Diophantine problems” by Manfred Einsiedler, “Effective ergodic theory for translation flow” by Giovanni Forni, “Integrability and rigidity for convex billiards” by Vadim Kaloshin, “Holomorphic dynamics” by Jasmin Raissy and “Exponentially small phenomena and its role in the dynamics” by Tere Martinez-Seara.
These notes are suitable for graduate students and young researchers interested in an introduction to some of the modern research areas within the field of dynamical systems.
This book provides an overview of recent advances in the theory of dynamical systems, with a particular emphasis on their connections to other areas of mathematical research, including number theory, geometry, mathematical physics, complex analysis, and celestial mechanics. Compiling the lecture notes from some of the contributions presented at the C.I.M.E. school "Modern Aspects of Dynamical Systems" held in Cetraro in August 2021, the contributions are the following: “Homogeneous dynamics and Diophantine problems” by Manfred Einsiedler, “Effective ergodic theory for translation flow” by Giovanni Forni, “Integrability and rigidity for convex billiards” by Vadim Kaloshin, “Holomorphic dynamics” by Jasmin Raissy and “Exponentially small phenomena and its role in the dynamics” by Tere Martinez-Seara.
These notes are suitable for graduate students and young researchers interested in an introduction to some of the modern research areas within the field of dynamical systems.
Provides an overview of some modern aspects of the theory of dynamical systems Written by world's leading experts in the field Gives special emphasis to the connections with other areas of mathematical research
Autor*in
Claudio Bonanno
Themen in »Modern Aspects of Dynamical Systems«
Ergodic Theory Dynamical Systems Theory Holomorphic Dynamics Dynamics on Homogeneous Spaces Dynamical Properties of Mathematical Billiards on Convex Domains Translation Flows on Surfaces Dynamics of Birkhoff billiards