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...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Einsiedler, Manfred (مؤلف), Forni, Giovanni (مؤلف), Kaloshin, Vadim (مؤلف), Raissy, Jasmin (مؤلف)
مؤلف مشترك: SpringerLink (Online service)
مؤلفون آخرون: Bonanno, Claudio (المحرر), Sorrentino, Alfonso (المحرر), Ulcigrai, Corinna (المحرر)
التنسيق: الكتروني كتاب الكتروني
اللغة:الإنجليزية
منشور في: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
الطبعة:1st ed. 2024.
سلاسل:C.I.M.E. Foundation Subseries, 2347
الموضوعات:
الوصول للمادة أونلاين:https://doi.org/10.1007/978-3-031-62014-0
الوسوم: إضافة وسم
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505 0 |a - 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. 
520 |a 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. 
532 8 |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility 
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