A Chaos game algorithm for generalized iterated function systems

2013 ◽  
Vol 224 ◽  
pp. 238-249 ◽  
Author(s):  
D. La Torre ◽  
F. Mendivil
Keyword(s):  
Iterated Function Systems ◽  
Iterated Function ◽  
Chaos Game

Addendum and corrigendum to "On the chaos game of iterated function systems"

2020 ◽  
pp. 1
Author(s):  
Pablo G. Barrientos ◽  
Maxwell Fitzsimmons ◽  
Fatemeh H. Ghane ◽  
Dominique Malicet ◽  
Aliasghar Sarizadeh
Keyword(s):  
Iterated Function Systems ◽  
Iterated Function ◽  
Chaos Game

scholarly journals A study of the international stock market crash and recovery during COVID-19 pandemic using a modified chaos game representation

2020 ◽  
Author(s):  
Aman Gupta ◽  
Cyril Shaju ◽  
Pratibha ◽  
Kamal
Keyword(s):  
Financial Markets ◽  
Iterated Function Systems ◽  
Chaos Game Representation ◽  
Fractal Method ◽  
Stock Market Crash ◽  
Novel Approach ◽  
Iterated Function ◽  
Before And After ◽  
Chaos Game ◽  
Game Representation

Abstract This paper deals with a novel approach to visualize and compare financial markets across the globe using chaos game representation of iterated function systems. We modified a widely used fractal method to study genome sequences and applied it to study the effect of COVID-19 on global financial markets. We investigate the financial market reaction and volatility to the current pandemic by comparing its behavior before and after the onset of COVID-19. Our method clearly demonstrates the imminent bearish and a surprise bullish pattern of the financial markets across the world.

scholarly journals On the chaos game of iterated function systems

2016 ◽  
Vol 48 (1) ◽  
pp. 1 ◽  
Author(s):  
Pablo G. Barrientos ◽  
Fatemeh H. Ghane ◽  
Dominique Malicet ◽  
Aliasghar Sarizadeh
Keyword(s):  
Iterated Function Systems ◽  
Iterated Function ◽  
Chaos Game

scholarly journals The chaos game on a general iterated function system

2010 ◽  
Vol 31 (4) ◽  
pp. 1073-1079 ◽  
Author(s):  
MICHAEL F. BARNSLEY ◽  
ANDREW VINCE
Keyword(s):  
Iterated Function System ◽  
General Setting ◽  
Iterated Function Systems ◽  
Function System ◽  
Iterated Function ◽  
Chaos Game ◽  
Weaker Conditions

AbstractThe 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.

scholarly journals Attractors of Compactly Generated Semigroups of Regular Polynomial Mappings

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Azza Alghamdi ◽  
Maciej Klimek ◽  
Marta Kosek
Keyword(s):  
Metric Space ◽  
Iterated Function Systems ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Topological Semigroups ◽  
Polynomial Mappings ◽  
Iterated Function ◽  
Chaos Game ◽  
Compactly Generated

We investigate the metric space of pluriregular sets as well as the contractions on that space induced by infinite compact families of proper polynomial mappings of several complex variables. The topological semigroups generated by such families, with composition as the semigroup operation, lead to the constructions of a variety of Julia-type pluriregular sets. The generating families can also be viewed as infinite iterated function systems with compact attractors. We show that such attractors can be approximated both deterministically and probabilistically in a manner of the classic chaos game.

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