图导向自共形构造的动力多重分形zeta函数与精细多重分形谱
动力系统
2019-02-20 v1
摘要
我们引入了多重分形压力和动力多重分形zeta函数，它们能提供关于一类非常广泛的多重分形谱的精确信息，例如，图导向自共形测度的精细多重分形谱，以及图导向自共形集上连续函数的遍历Birkhoff平均的精细多重分形谱。
引用
@article{arxiv.1411.5530,
title = {Dynamical multifractal zeta-functions and fine multifractal spectra of graph-directed self-conformal constructions},
author = {Vuksan Mijovic and Lars Olsen},
journal= {arXiv preprint arXiv:1411.5530},
year = {2019}
}
备注
arXiv admin note: substantial text overlap with arXiv:1309.7865