报告人 ：Karma Dajani（University of Utrecht）

时间：2023年03月27日 21:00-

Zoom会议：863 5458 6341   密码：314159

摘要：Let β = (β0, …, βp−1) be a p-tuple of real numbers with βi > 1. We consider a generalization of the β-expansion by applying cyclically the bases β0, …, βp−1. We refer to the resulting expansion as an (alternate base) β-expansion. Just as in the case of the classical β-expansion one has typically uncountably many expansions. We concentrate first on the greedy expansion, we introduce a dynamical system generating them and study its ergodic properties. We then define the alternate lazy expansion and show that the dynamical system underlying such expansions is isomorphic to the greedy counterpart. We end by comparing the alternate base β-expansion with the greedy βp−1… β0-expansion with digits in some special set, and characterize when these expansions are the same. This is a joint work with Emilie Charlier and Celia Cisternino.

简介：Karma Dajani,荷兰乌特勒支大学数学系教授。研究方向：动力系统遍历论。在J. Eur. Math. Soc., Trans. AMS, ETDS等期刊发表论文60余篇。

邀请人：孔德荣

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