The speed of random walk on Galton-Watson trees with vanishing\n conductances

2020/11/20 by Tabea Glatzel, Glatzel, Tabea, Jan Nagel +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #60F15 #60K37 #60K40 #Diffusion and Search Dynamics #FOS: Mathematics #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2011.10519

openalex publication_date 2020/11/20 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

In this paper we consider random walks on Galton-Watson trees with random\nconductances. On these trees, the distance of the walker to the root satisfies\na law of large numbers with limit the effective velocity, or speed of the walk.\nWe study the regularity of the speed as a function of the distribution of\nconductances, in particular when the distribution of conductances converges to\na non-elliptic limit.\n

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