Pattern occurrences in random planar maps

DOI10.1016/j.spl.2019.108666zbMath1456.05144arXiv1801.10007OpenAlexW2988589903WikidataQ126853532 ScholiaQ126853532MaRDI QIDQ2288819

Benedikt Stufler, Michael Drmota

Publication date: 20 January 2020

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.10007

zbMATH Keywords

local convergenceplanar mapspatterns

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items (5)

Quenched local convergence of Boltzmann planar maps ⋮ Concentration of maximum degree in random planar graphs ⋮ Multi-ended Markovian triangulations and robust convergence to the UIPT ⋮ Local convergence of random planar graphs ⋮ Counting embeddings of rooted trees into families of rooted trees

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A central limit theorem for the number of degree-\(k\) vertices in random maps
• Percolation on uniform infinite planar maps
• A pattern of asymptotic vertex valency distributions in planar maps
• Uniform infinite planar triangulations
• Asymptotic normality determined by high moments, and submap counts of random maps
• Recurrence of bipartite planar maps
• A view from infinity of the uniform infinite planar quadrangulation
• Random Trees
• Vertex Degrees in Planar Maps
• Limit laws of planar maps with prescribed vertex degrees

This page was built for publication: Pattern occurrences in random planar maps