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A hysteresis effect on optical illusion and non-Kolmogorovian probability theory
Tokuyama College of Technology, Japan.
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-9857-0938
Tokyo University of Science, Japan.
Tokyo University of Science, Japan.
2017 (English)In: White Noise Analysis and Quantum Information, World Scientific, 2017, Vol. 34, p. 201-213Chapter in book (Refereed)
Abstract [en]

In this study, we discuss a non-Kolmogorovness of the optical illusion in the human visual perception. We show subjects the ambiguous figure of "Schröeder stair", which has two different meanings [1]. We prepare 11 pictures which are inclined by different angles. The tendency to answer "left side is front" depends on the order of showing those pictures. For a mathematical treatment of such a context dependent phenomena, we propose a non-Kolmogorovian probabilistic model which is based on adaptive dynamics.

Place, publisher, year, edition, pages
World Scientific, 2017. Vol. 34, p. 201-213
Series
Lecture Notes Series, Institute for Mathematical Science, National Univeristy of Singapore ; 34
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-72077DOI: 10.1142/9789813225466_0015ISBN: 978-981-3225-45-9 (print)ISBN: 978-981-3225-47-3 (electronic)OAI: oai:DiVA.org:lnu-72077DiVA, id: diva2:1194673
Available from: 2018-04-03 Created: 2018-04-03 Last updated: 2018-04-05Bibliographically approved

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Khrennikov, Andrei

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  • nn-NB
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  • Other locale
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