Abstract
AbstractStephenson (2018) established annealed local convergence of Boltzmann planar maps conditioned to be large. The present work uses results on rerooted multi-type branching trees to prove a quenched version of this limit.
Publisher
Springer Science and Business Media LLC
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference21 articles.
1. Aldous, D.: Asymptotic fringe distributions for general families of random trees. Ann. Appl. Probab. 1(2), 228–266 (1991)
2. Angel, O., Schramm, O.: Uniform infinite planar triangulations. Comm. Math. Phys. 241(2–3), 191–213 (2003)
3. Banderier, C., Flajolet, P., Schaeffer, G., Soria, M.: Random maps, coalescing saddles, singularity analysis, and Airy phenomena. Random Struct. Algorithms 19(3–4), 194–246 (2001). Analysis of algorithms (Krynica Morska 2000)
4. Björnberg, J.E., Stefánsson, S.Ö.: Recurrence of bipartite planar maps. Electron. J. Probab. 19(31), 40 (2014)
5. Bouttier, J., Di Francesco, P., Guitter, E.: Planar maps as labeled mobiles. Electron. J. Combin., 11(1):Research Paper 69, 27, (2004)
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