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[Recently, Kigami’s resistance form framework has been applied to provide a general approach for deriving the scaling limits of random walks on graphs with a fractal scaling limit (Croydon, Ann Inst Henri Poincaré Probab Stat 54(4):1939–1968, 2018; Croydon et al., Electron J Probab 22, paper no.82, 41, 2017). As an illustrative example, this article describes an application to the random conductance model with heavy tails on nested fractal graphs.]
Published: Mar 24, 2021
Keywords: Nested fractal; Random conductance model; Scaling limit; FIN diffusion; Primary: 28A80; Secondary: 60K37
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