Inhomogeneous graph-directed attractors and fractal measures

被引：3

作者：

Dubey, Shivam ^{[1
]}

Verma, Saurabh ^{[1
]}

机构：

[1] IIIT Allahabad, Dept Appl Sci, Prayagraj 211015, India

来源：

JOURNAL OF ANALYSIS | 2024年 / 32卷 / 01期

关键词：

Iterated function systems; Graph-directed constructions; Inhomogeneous attractor; Borel probability measures; Fractal measures; EQUILIBRIUM PROBLEMS; EXTRAGRADIENT ALGORITHM; CONVERGENCE THEOREMS; WEAK-CONVERGENCE;

D O I：

10.1007/s41478-023-00614-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we define inhomogeneous Graph-Directed (GD) iterated function systems and show the existence of attractors for this new system. We also prove the existence of fractal invariant measures supported on the attractors constructed therein. Further, we establish some relations between homogeneous GD attractor and inhomogeneous GD attractor.

引用

页码：157 / 170

页数：14

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