报告人：Wolfgang Steiner 教授(巴黎七大)

时间：2024年10月18日 15:30-

地址：理科楼LA103

摘要：For a real base $\beta \in (1,2)$, the set of unique $\beta$-expansions (on a binary set of digits) is the survivor set of a piecewise linear map with slope $\beta$ and a hole. For unique double base expansions, the slopes of the two pieces are different, and the obtained dynamical systems are similar to general Lorenz maps. We give a characterisation when the entropy of such a system is positive and briefly discuss generalisations to other open dynamical systems (two holes, negative slope, ...). This is based on joint work with Vilmos Komornik and Yuru Zou.

邀请人：数学研究中心

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