本原均匀替换与 Pisot 替换之间的块映射
动力系统
2014-08-13 v4 形式语言与自动机理论
摘要
在本文中,我们证明了对于所有具有相同主导特征值的本原 Pisot 替换或均匀替换对,存在一个有限的块映射集合,使得相应子移位之间的每个块映射在该集合中均有一个元素与之对应(相差一个移位)。
引用
@article{arxiv.1306.3777,
title = {Block Maps between Primitive Uniform and Pisot Substitutions},
author = {Ville Salo and Ilkka Törmä},
journal= {arXiv preprint arXiv:1306.3777},
year = {2014}
}
备注
21 pages. Minor corrections to grammar and some proofs. To appear in Ergodic Theory and Dynamical Systems after editorial input by Cambridge University Press. Copyright held by Cambridge University Press