Recurrence of the uniform infinite half-plane map via duality of resistances
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Publication:2085536
DOI10.1214/21-AOP1539zbMath1500.05056arXiv1912.08790OpenAlexW2996054796MaRDI QIDQ2085536
Thomas Lehéricy, Thomas Budzinski
Publication date: 18 October 2022
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.08790
Geometric probability and stochastic geometry (60D05) Random graphs (graph-theoretic aspects) (05C80) Planar graphs; geometric and topological aspects of graph theory (05C10) Random walks on graphs (05C81)
Cites Work
- Unnamed Item
- The peeling process of infinite Boltzmann planar maps
- Scaling limits for the peeling process on random maps
- Percolation on uniform infinite planar maps
- Universal aspects of critical percolation on random half-planar maps
- Uniform infinite planar triangulations
- Local convergence of large critical multi-type Galton-Watson trees and applications to random maps
- Recurrence of distributional limits of finite planar graphs
- Recurrence of planar graph limits
- Random walk on random planar maps: spectral dimension, resistance and displacement
- Conformal growth rates and spectral geometry on distributional limits of graphs
- First-passage percolation in random planar maps and Tutte's bijection
- Anomalous diffusion of random walk on random planar maps
- Return probability and recurrence for the random walk driven by two-dimensional Gaussian free field
- Percolations on random maps. I: Half-plane models
- Basic properties of the infinite critical-FK random map
- The half plane UIPT is recurrent
- Separating cycles and isoperimetric inequalities in the uniform infinite planar quadrangulation
- Recurrence of bipartite planar maps
- Local limit of labeled trees and expected volume growth in a random quadrangulation
- Uniform infinite planar quadrangulations with a boundary
- Distance statistics in quadrangulations with a boundary, or with a self-avoiding loop
- Geometry of the uniform infinite half‐planar quadrangulation
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