The incipient infinite cluster of the uniform infinite half-planar triangulation
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Publication:1990222
DOI10.1214/18-EJP218zbMath1398.05183arXiv1704.01561OpenAlexW2963556732MaRDI QIDQ1990222
Publication date: 25 October 2018
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.01561
Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Planar graphs; geometric and topological aspects of graph theory (05C10) Processes in random environments (60K37)
Related Items (6)
Simple peeling of planar maps with application to site percolation ⋮ Infinite stable looptrees ⋮ Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity ⋮ On scaling limits of planar maps with stable face-degrees ⋮ Duality of random planar maps via percolation ⋮ Brownian motion on stable looptrees
Cites Work
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- The Brownian plane
- Compact Brownian surfaces. I: Brownian disks
- Time reversal of random walks in one dimension
- Percolation on uniform infinite planar maps
- Universal aspects of critical percolation on random half-planar maps
- Random trees and applications
- The incipient infinite cluster in two-dimensional percolation
- Arbres et processus de Galton-Watson. (Trees and Galton-Watson processes)
- Subdiffusive behavior of random walk on a random cluster
- Uniform infinite planar triangulations
- Growth and percolation on the uniform infinite planar triangulation
- Scaling limits of loop-erased random walks and uniform spanning trees
- The geometry of a critical percolation cluster on the UIPT
- On conditioning a random walk to stay nonnegative
- Percolations on random maps. I: Half-plane models
- Scaling limit of random planar quadrangulations with a boundary
- The continuum random tree. III
- Scaling limit of the uniform infinite half-plane quadrangulation in the Gromov-Hausdorff-Prokhorov-uniform topology
- Random stable looptrees
- Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
- Probability on Trees and Networks
- A recursive approach to theO(n) model on random maps via nested loops
- Uniform infinite planar quadrangulations with a boundary
- Distance statistics in quadrangulations with a boundary, or with a self-avoiding loop
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