An S-adic characterization of linear-growth complexity subshifts
Date(s) : 12/09/2023 iCal
15h00 - 16h00
In the context of symbolic dynamics, the class of “linear-growth complexity subshifts” is of particular relevance as it occurs in a variety of areas, such as geometric dynamical systems, language theory, number theory, and numeration systems, among others. During the intensive study carried out on this subject since the beginning of the 90s, it was proposed that a hierarchical decomposition based on -adic sequences that characterizes linear-growth complexity subshifts would be useful to understand this class. The problem of finding such a characterization was given the name “-adic conjecture” and inspired several influential results in symbolic dynamics. In this talk, I will present an -adic characterization of this class as well as some of its applications, giving in particular a solution to this conjecture.
The address of the Zoom meeting is https://zoom.us/j/92245493528 . The password is distributed in announcements. If you want to receive them, or receive them and want to unsubscribe, please write to Anna Frid.
More info: https://www.i2m.univ-amu.fr/wiki/Combinatorics-on-Words-seminar/
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Virtual event
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