Cetraro, Italy 2021 Einsiedler, Manfred. creator author. aut http://id.loc.gov/vocabulary/relators/aut Forni, Giovanni. author. aut http://id.loc.gov/vocabulary/relators/aut Kaloshin, Vadim. author. aut http://id.loc.gov/vocabulary/relators/aut Raissy, Jasmin. author. aut http://id.loc.gov/vocabulary/relators/aut Bonanno, Claudio. editor. edt http://id.loc.gov/vocabulary/relators/edt Sorrentino, Alfonso. editor. edt http://id.loc.gov/vocabulary/relators/edt Ulcigrai, Corinna. editor. edt http://id.loc.gov/vocabulary/relators/edt SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

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access XI, 224 p. 30 illus., 3 illus. in color. online resource. 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. - 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. by Manfred Einsiedler, Giovanni Forni, Vadim Kaloshin, Jasmin Raissy ; edited by Claudio Bonanno, Alfonso Sorrentino, Corinna Ulcigrai. Dynamical systems Dynamical Systems QA843-871 9783031620140 https://doi.org/10.1007/978-3-031-62014-0 https://doi.org/10.1007/978-3-031-62014-0 241002 20251030113121.0 978-3-031-62014-0