Infinite random planar maps related to Cauchy processes

DOI10.5802/jep.82zbMath1401.05268arXiv1704.05297OpenAlexW3100236919WikidataQ129001127 ScholiaQ129001127MaRDI QIDQ4559776

Cyril Marzouk, Nicolas Curien, Timothy Budd

Publication date: 4 December 2018

Published in: Journal de l’École polytechnique — Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.05297

zbMATH Keywords

percolationvolume growthLévy processscaling limitsrandom planar mapsCauchy processespeeling exploration

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stable stochastic processes (60G52)

Related Items

The exploration process of critical Boltzmann planar maps decorated by a triangular $O(n)$ loop model, Simple peeling of planar maps with application to site percolation, Brownian half‐plane excursion and critical Liouville quantum gravity, The trunks of \(\mathrm{CLE}(4)\) explorations, Notes on random walks in the Cauchy domain of attraction, Markovian explorations of random planar maps are roundish

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