Self-similar vector measures of Markov-type operators
Classical Analysis and ODEs
2017-01-30 v1
Abstract
We consider iterated function systems (finite or countable), together with linear and continuous operators on Hilbert spaces, which enable us to construct Markov-type operators. Under suitable conditions, these Markov-type operators have fixed points, which are self-similar (invariant) vector measures, thus generalizing the classic Hutchinson self-similar measures. Several models with concrete computations are introduced.
Cite
@article{arxiv.1701.07962,
title = {Self-similar vector measures of Markov-type operators},
author = {Ion Chiţescu and Loredana Ioana and Radu Miculescu and Lucian Niţă},
journal= {arXiv preprint arXiv:1701.07962},
year = {2017}
}