Strange attractors in a chaotic coin flip simulation

DOI10.1016/j.chaos.2005.09.001zbMath1144.37470OpenAlexW2040649548MaRDI QIDQ936737

Crystal Cooper

Publication date: 19 August 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.09.001

zbMATH Keywords

computer simulationgambler's ruin

Mathematics Subject Classification ID

Stopping times; optimal stopping problems; gambling theory (60G40) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Probabilistic games; gambling (91A60)

Cites Work

• Gambler's ruin problem in several dimensions
• The asymmetric \(n\)-player gambler's ruin problem with equal initial fortunes
• Fractal structure and Gaussian distribution in chaotic Brownian motion
• A practical method for calculating largest Lyapunov exponents from small data sets
• Nonlinear Time Series Analysis
• Chaotic itinerancy based on attractors of one-dimensional maps
• On the constructive role of noise in stabilizing itinerant trajectories in chaotic dynamical systems
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