Anomalous Behavior of Random Walks on Disordered Media

Takashi Kumagai ()
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Takashi Kumagai: Kyoto University, Kitashirakawa

Chapter Chapter 5 in Creative Complex Systems, 2021, pp 73-84 from Springer

Abstract: 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.

Date: 2021
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DOI: 10.1007/978-981-16-4457-3_5

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