Adaptive Dynamics and Its Application to Context Dependent Systems Breaking the Classical Probability Law

  • Masanari Asano
  • Irina Basieva
  • Andrei Khrennikov
  • Masanori Ohya
  • Yoshiharu Tanaka
  • Ichiro Yamato
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7620)


There exist several phenomena (systems) breaking the classical probability laws. In this report, we present a new mathematical formula to compute the probability in those context dependent systems by using the concepts of the adaptive dynamics and the lifting.


classical probability law quantum probability adaptive dynamics quantum channel lifting map 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Masanari Asano
    • 1
  • Irina Basieva
    • 2
  • Andrei Khrennikov
    • 2
  • Masanori Ohya
    • 1
  • Yoshiharu Tanaka
    • 1
  • Ichiro Yamato
    • 3
  1. 1.Department of Information SciencesTokyo University of ScienceNoda-shiJapan
  2. 2.International Center for Mathematical Modeling in Physics and Cognitive SciencesLinnaeus UniversityVäxjöSweden
  3. 3.Department of Biological Science and TechnologyTokyo University of ScienceNoda-shiJapan

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