摘要
Unique expansions in non-integer bases have been investigated in many papers during the last thirty years.They are often conveniently generated by labeled directed graphs.We give a precise description of the set of sequences generated by these graphs.This provides a geometric explanation of many former abstract results in this domain.Our results are illustrated by many examples.
基金
supported by National Natural Science Foundation of China(Grant Nos.11871348 and 61972265)
Natural Science Foundation of Guangdong Province of China(Grant No.2020B1515310008)
Project of Educational Commission of Guangdong Province of China(Grant No.2019KZDZX1007)
Shenzhen Key Laboratory of Advanced Machine Learning and Applications.
