Modern aspects of dynamical systems: Cetraro, Italy 2021

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 not...

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Bibliographische Detailangaben
Hauptverfasser: Einsiedler, Manfred Leopold 1973- (VerfasserIn), Forni, Giovanni 1964- (VerfasserIn), Kaloshin, Vadim 1972- (VerfasserIn), Raissy, Jasmin (VerfasserIn)
Weitere Verfasser: Bonanno, Claudio (HerausgeberIn), Sorrentino, Alfonso 1979- (HerausgeberIn), Ulcigrai, Corinna 1980- (HerausgeberIn)
Format: Buch
Sprache:English
Veröffentlicht: Cham Springer [2024]
Schriftenreihe:Lecture notes in mathematics Volume 2347 : C.I.M.E. Foundation subseries
Schlagworte:
Zusammenfassung: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.
Beschreibung:xi, 221 Seiten Illustrationen
ISBN:9783031620133

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