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Anomalous Behavior of Random Walks on Disordered Media

In: Creative Complex Systems

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  • Takashi Kumagai

    (Kyoto University, Kitashirakawa)

Abstract

Much effort has been expended on investigation of the physical properties of disordered mediaDisordered media (complex systems) including how the heat transfers on the media. In mathematics, these properties have been actively studied for over 30 years. In particular, probabilistic methods have been developed extensively to analyze random walksRandom walk and their scaling limitsScaling limit on the media. This chapter provides a discussion of the behavior of random walksRandom walk and diffusionsDiffusion on typical disordered mediaDisordered media.

Suggested Citation

  • Takashi Kumagai, 2021. "Anomalous Behavior of Random Walks on Disordered Media," Creative Economy, in: Kazuo Nishimura & Masatoshi Murase & Kazuyoshi Yoshimura (ed.), Creative Complex Systems, chapter 0, pages 73-84, Springer.
    • Handle: RePEc:spr:crechp:978-981-16-4457-3_5
    DOI: 10.1007/978-981-16-4457-3_5
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