平面替换拼图的频率快速收敛
数学物理
2015-05-19 v2 动力系统
math.MP
摘要
本文关注二维自相似拼图。我们考虑任何由若尔当曲线围成的区域中给定拼块的出现次数。对于一大类自相似拼图，包括大多数已知例子，我们给出了该出现次数围绕其平均频率乘以区域中拼块总数的振荡的估计，该估计仅依赖于若尔当曲线。
引用
@article{arxiv.1007.3014,
title = {Rapid convergence to frequency for Substitution Tilings of the Plane},
author = {J. Aliste-Prieto and D. Coronel and J. -M. Gambaudo},
journal= {arXiv preprint arXiv:1007.3014},
year = {2015}
}
备注
Minor corrections suggested by the referee. To appear in Communications in Mathematical Physics