Infinite stable Boltzmann planar maps are subdiffusive

DOI10.2140/pmp.2021.2.1zbMath1483.05164arXiv1910.09623OpenAlexW2981569046MaRDI QIDQ2668196

Nicolas Curien, Cyril Marzouk

Publication date: 3 March 2022

Published in: Probability and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.09623

zbMATH Keywords

random walkanomalous diffusionrandom mapspeelingsubdiffusivity

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random graphs (graph-theoretic aspects) (05C80) Stationary stochastic processes (60G10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Random walks on graphs (05C81)

Related Items (2)

Local elliptic law ⋮ Central Limit Theorem for Linear Eigenvalue Statistics of <scp>Non‐Hermitian</scp> Random Matrices

Cites Work

• The peeling process of infinite Boltzmann planar maps
• Random walks on disordered media and their scaling limits. École d'Été de Probabilités de Saint-Flour XL -- 2010
• Scaling limits of random planar maps with large faces
• Subdiffusive behavior of random walk on a random cluster
• Local convergence of large critical multi-type Galton-Watson trees and applications to random maps
• Planar Maps, Random Walks and Circle Packing

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