Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 International Journal of Electronics and Telecommunications

2 Martyn Tomasz

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

A computer scientist’s perspective on approximation of IFS invariant sets and measures with the random iteration algorithm—proofs and examples

Martyn Tomasz

International Journal of Electronics and Telecommunications

2025

Vol. 71, No. 1

19-24

We present proofs of the theorems and lemmas demonstrated previously in our paper [1]. We also display some visual examples of minimal absorbing sets and their basins of attractions generated by δ-roundoffs of two-dimensional linear contractions as well as visualizations of DIFS stationary probability measures.

A computer scientist's perspective on approximation of IFS invariant sets and measures with the random iteration algorithm

Martyn Tomasz

International Journal of Electronics and Telecommunications

2024

Vol. 70, No. 4

1113-1123

We study invariant sets and measures generated by iterated function systems defined on countable discrete spaces that are uniform grids of a finite dimension. The discrete spaces of this type can be considered as models of spaces in which actual numerical computation takes place. In this context, we investigate the possibility of the application of the random iteration algorithm to approximate these discrete IFS invariant sets and measures. The problems concerning a discretization of hyperbolic IFSs are considered as special cases of this more general setting.