HAUSDORFF DIMENSION OF A CLASS OF COLORED SUBSTITUTION NETWORKS

In 2023, Xi et al. introduced the Hausdorff dimension of a family of networks which inspired by the potential theoretic methods in fractal geometry. In this paper, we will construct a class of colored substitution networks and obtain its Hausdorff dimension using the self-similarity.

Authors

Institutions

Publication Details

Journal
Fractals
Published
2024-11-21
DOI
https://doi.org/10.1142/s0218348x25500069
Primary Topic
semigroups and automata theory
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

HAUSDORFF DIMENSION OF A CLASS OF COLORED SUBSTITUTION NETWORKS

Qingcheng Zeng, Yumei Xue
Fractals
semigroups and automata theory
article

HAUSDORFF DIMENSION OF A CLASS OF COLORED SUBSTITUTION NETWORKS

Qingcheng Zeng, Yumei Xue
article en

Abstract

In 2023, Xi et al. introduced the Hausdorff dimension of a family of networks which inspired by the potential theoretic methods in fractal geometry. In this paper, we will construct a class of colored substitution networks and obtain its Hausdorff dimension using the self-similarity.

FractalsVol. 33(01)
Beihang University (CN)
Openalex Percentile: Top 75%
semigroups and automata theory
DOISourceOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

HAUSDORFF DIMENSION OF A CLASS OF COLORED SUBSTITUTION NETWORKS — Qingcheng Zeng, Yumei Xue · Fractals (2024) | TGRS Research Map | TGRS