The Brownian cactus. I: Scaling limits of discrete cactuses

DOI10.1214/11-AIHP460zbMath1275.60035arXiv1102.4177OpenAlexW2950658915MaRDI QIDQ1951501

Grégory Miermont, Nicolas Curien, Jean-François Le Gall

Publication date: 6 June 2013

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4177

zbMATH Keywords

scaling limitHausdorff dimensionrandom planar mapsBrownian mapBrownian cactus

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Functional limit theorems; invariance principles (60F17)

Related Items (16)

Geodesics in Brownian surfaces (Brownian maps) ⋮ On scaling limits of random trees and maps with a prescribed degree sequence ⋮ The hull process of the Brownian plane ⋮ Uniqueness and universality of the Brownian map ⋮ An axiomatic characterization of the Brownian map ⋮ On the persistent homology of almost surely \(C^0\) stochastic processes ⋮ What is a random surface? ⋮ Renormalizable models in rank \({d \geq 2}\) tensorial group field theory ⋮ A Boltzmann Approach to Percolation on Random Triangulations ⋮ Local convergence of large critical multi-type Galton-Watson trees and applications to random maps ⋮ Random planar maps and growth-fragmentations ⋮ Recursive construction of continuum random trees ⋮ Scaling limits of tree-valued branching random walks ⋮ Convergence of non-bipartite maps via symmetrization of labeled trees ⋮ Scaling limit of random planar quadrangulations with a boundary ⋮ The Brownian cactus. II: Upcrossings and local times of super-Brownian motion

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