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科学研究
RESEARCH
Linear subshifts and dynamics of linear cellular automata
时间  Datetime
2020-11-29 16:30 — 17:30
地点  Venue
教室(901)
报告人  Speaker
Tullio Ceccherini-Silberstein
单位  Affiliation
Università del Sannio, Italy
邀请人  Host
吴耀琨
备注  remarks
zoom id: 95499039480; PW:450218
报告摘要  Abstract

Let G be a group and let A be finite dimensional vector space over an arbitrary field. We study the structure of linear subshifts Σ⊂AG and several dynamical aspects of linear cellular automata τ:Σ→Σ. We show that if G is polycyclic-by-finite then every linear subshift Σ⊂AG is of finite type. We prove that τ is nilpotent if and only if its limit set, i.e., the intersection of the images of its iterates, is a singleton. If moreover G is infinite, finitely generated, and Σ is topologically mixing, we show that τ is nilpotent if and only if its limit set is finite dimensional. Joint work with Michel Coornaert (Strasbourg) and Xuan Kien Phung (Strasbourg and Montreal).


http://math.sjtu.edu.cn/conference/Bannai/2019/talk.php?20201129D