TY - JOUR
T1 - The chaos game on a general iterated function system
AU - Barnsley, Michael F.
AU - Vince, Andrew
PY - 2011/8
Y1 - 2011/8
N2 - The main theorem of this paper establishes conditions under which the 'chaos game' algorithm almost surely yields the attractor of an iterated function system. The theorem holds in a very general setting, even for non-contractive iterated function systems, and under weaker conditions on the random orbit of the chaos game than obtained previously.
AB - The main theorem of this paper establishes conditions under which the 'chaos game' algorithm almost surely yields the attractor of an iterated function system. The theorem holds in a very general setting, even for non-contractive iterated function systems, and under weaker conditions on the random orbit of the chaos game than obtained previously.
UR - http://www.scopus.com/inward/record.url?scp=80053050396&partnerID=8YFLogxK
U2 - 10.1017/S0143385710000428
DO - 10.1017/S0143385710000428
M3 - Article
SN - 0143-3857
VL - 31
SP - 1073
EP - 1079
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
IS - 4
ER -