The Chaos game on a general iterated function system from a topological point of view

Michael F. Barnsley; Krzysztof Les̈niak

doi:10.1142/S0218127414501399

The Chaos game on a general iterated function system from a topological point of view

Michael F. Barnsley
, Krzysztof Les̈niak

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

We investigate combinatorial issues relating to the use of random orbit approximations to the attractor of an iterated function system with the aim of clarifying the role of the stochastic process during the generation of the orbit. A Baire category counterpart of almost sure convergence is presented.

Original language	English
Article number	1450139
Journal	International Journal of Bifurcation and Chaos
Volume	24
Issue number	11
DOIs	https://doi.org/10.1142/S0218127414501399
Publication status	Published - 25 Nov 2014

Access to Document

10.1142/S0218127414501399

Cite this

@article{71cc78c9b3ab4a2b8255ca732803ee7f,

title = "The Chaos game on a general iterated function system from a topological point of view",

abstract = "We investigate combinatorial issues relating to the use of random orbit approximations to the attractor of an iterated function system with the aim of clarifying the role of the stochastic process during the generation of the orbit. A Baire category counterpart of almost sure convergence is presented.",

keywords = "Random orbit, disjunctive sequence, porous set",

author = "Barnsley, \{Michael F.\} and Krzysztof Le{\"s}niak",

note = "Publisher Copyright: {\textcopyright} 2014 World Scientific Publishing Company.",

year = "2014",

month = nov,

day = "25",

doi = "10.1142/S0218127414501399",

language = "English",

volume = "24",

journal = "International Journal of Bifurcation and Chaos",

issn = "0218-1274",

publisher = "World Scientific",

number = "11",

}

TY - JOUR

T1 - The Chaos game on a general iterated function system from a topological point of view

AU - Barnsley, Michael F.

AU - Les̈niak, Krzysztof

PY - 2014/11/25

Y1 - 2014/11/25

N2 - We investigate combinatorial issues relating to the use of random orbit approximations to the attractor of an iterated function system with the aim of clarifying the role of the stochastic process during the generation of the orbit. A Baire category counterpart of almost sure convergence is presented.

AB - We investigate combinatorial issues relating to the use of random orbit approximations to the attractor of an iterated function system with the aim of clarifying the role of the stochastic process during the generation of the orbit. A Baire category counterpart of almost sure convergence is presented.

KW - Random orbit

KW - disjunctive sequence

KW - porous set

UR - https://www.scopus.com/pages/publications/84924795688

U2 - 10.1142/S0218127414501399

DO - 10.1142/S0218127414501399

M3 - Article

SN - 0218-1274

VL - 24

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 11

M1 - 1450139

ER -

The Chaos game on a general iterated function system from a topological point of view

Abstract

Access to Document

Other files and links

Fingerprint

Cite this