Modern aspects of dynamical systems : Cetraro, Italy 2021

著者

書誌事項

Modern aspects of dynamical systems : Cetraro, Italy 2021

Manfred Einsiedler... [et al.] ; Claudio Bonanno, Alfonso Sorrentino, Corinna Ulcigrai, editors

(Lecture notes in mathematics, 2347 . CIME Foundation subseries)

Springer , Fondazione CIME Roberto Conti, 2024

  • : pbk

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注記

Includes bibliographical references

Other authors: Giovanni Forni, Vadim Kaloshin, Jasmin Raissy

内容説明・目次

内容説明

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.

目次

- Homogeneous Dynamics and its connection to Diophantine Approximation.- Effective unique ergodicity and weak mixing of translation flows.- Lecture notes on Birkhoff billiards: dynamics, integrability and spectral rigidity.- Introduction to Fatou components in holomorphic dynamics.

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詳細情報

  • NII書誌ID(NCID)
    BD09052155
  • ISBN
    • 9783031620133
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cham,[Firenze]
  • ページ数/冊数
    xi, 221 p.
  • 大きさ
    24 cm
  • 親書誌ID
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