Fractal dimension for Inhomogeneous graph-directed attractors

Autor:	Dubey, Shivam, Verma, Saurabh
Rok vydání:	2023
Předmět:	Mathematics - Dynamical Systems 28A80 28A70 28A78 47B65
Druh dokumentu:	Working Paper
Popis:	In this paper, we define inhomogeneous Graph-Directed (GD) separation conditions for a given inhomogeneous GD Iterated Function Systems (IFS), and estimate the upper box dimension of attractors by the dimension of the condensation set and associated Mauldin-Williams graph dimension. Following some work of Fraser, we also estimate the lower box dimension of attractors generated by inhomogeneous GDIFS. In the end, we shed few lights on the continuity of dimensions for the attractors of inhomogeneous GDIFS. Comment: 14 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.07667 Zobrazit plný text záznamu View this record from Arxiv