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Modern aspects of dynamical systems : Cetraro, Italy 2021 / Manfred Einsiedler, Giovanni Forni, Vadim Kaloshin, Jasmin Raissy ; Claudio Bonanno, Alfonso Sorrentino, Corinna Ulcigrai, editors.

Math/Physics/Astronomy Library QA3 .L28 v.2347
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Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2381-2384 2385-2386,2388-2389
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Format:
Book
Author/Creator:
Einsiedler, Manfred Leopold, 1973- author.
Forni, Giovanni, 1964- author.
Kaloshin, Vadim Yu., 1975- author.
Raissy, Jasmin, author.
Contributor:
Bonanno, Claudio, editor.
Sorrentino, Alfonso, 1979-
Ulcigrai, Corinna, 1980-
Series:
Lecture notes in mathematics (Springer-Verlag) ; 0075-8434 2347.
Lecture notes in mathematics (Springer-Verlag). CIME Foundation subseries 0075-8434
Lecture notes in mathematics, 0075-8434 ; volume 2347. C.I.M.E. foundation subseries, 2946-1812
Language:
English
Subjects (All):
Dynamics.
Physical Description:
xi, 221 pages ; 24 cm.
Place of Publication:
Cham, Switzerland : Springer, [2024]
Summary:
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.
Contents:
- 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.
Notes:
Includes bibliographical references.
ISBN:
9783031620133
3031620135
OCLC:
1463468367

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