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7 p, 373.7 KB Parrondo's paradox for homoeomorphisms / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Hernández-Corbato, L. (Universidad Complutense de Madrid. Departamento de Álgebra, Geometría y Topología) ; Ruiz Del Portal, F. R. (Universidad Complutense de Madrid. Departamento de Álgebra, Geometría y Topología)
We construct two planar homoeomorphisms f and g for which the origin is a globally asymptotically stable fixed point whereas for f∘g and g∘f the origin is a global repeller. Furthermore, the origin remains a global repeller for the iterated function system generated by f and g where each of the maps appears with a certain probability. [...]
2022 - 10.1017/prm.2021.28
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 152, Issue 4 (August 2022) p. 817-825  

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