Скачать или смотреть Valérie Berthé: A symbolic approach to bounded remainder sets (NTWS 239)

Abstract: A bounded remainder set is a set with bounded (local) discrepancy. We discuss dynamical and symbolic approaches to the study of bounded remainder sets for Kronecker sequences. We focus on the case of Pisot parameters and show how to construct bounded remainder sets in terms of multidimensional continued fractions. We also discuss convergence issues for multidimensional continued fractions in terms of their Lyapounov exponents.
This is joint work with W. Steiner and J. Thuswaldner.

Link to slides: https://drive.google.com/file/d/1aF5r...

Number Theory Web Seminar: https://www.ntwebseminar.org

Original air date:
Thursday, February 20, 2025 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, February 21, 2025 (12am CST, 3am AEDT, 5am NZDT)