Scaling limit for the random walk on the largest connected component of the critical random graph

DOI10.2977/PRIMS/70zbMath1244.82070arXiv1210.5865OpenAlexW2046857250MaRDI QIDQ435221

David A. Croydon

Publication date: 11 July 2012

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5865

zbMATH Keywords

scaling limitrandom graphsrandom walk in random environmentcontinuum random tree

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Brownian motion (60J65) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Random walks on graphs (05C81)

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Cites Work

• Convergence of simple random walks on random discrete trees to Brownian motion on the continuum random tree
• Dirichlet forms and symmetric Markov processes
• Brownian excursions, critical random graphs and the multiplicative coalescent
• Probabilistic and fractal aspects of Lévy trees
• The homogenization problem for Vicsek set
• Hausdorff measure of arcs and Brownian motion on Brownian spatial trees
• The continuum random tree. III
• The continuum limit of critical random graphs
• Volume growth and heat kernel estimates for the continuum random tree
• On the Global Asymptotic Behavior of Brownian Local Time on the Circle
• Scaling limits for simple random walks on random ordered graph trees
• Heat kernel fluctuations for a resistance form with non-uniform volume growth
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