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The infinite discrete stable Boltzmann maps are generalisations of the well-known Uniform Infinite Planar Quadrangulation in the case where large degree faces are allowed.
La percolation : un concept unificateur
De Gennes, P. G · 1976
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Subdiffusive behavior of random walk on a random cluster
Kesten, H · 1986
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Asymptotic analysis of random walks
Borovkov, A. A., and Borovkov, K. A · 2008
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Random walks on disordered media and their scaling limits
Kumagai, T · 2010
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Simple random walk on the uniform infinite planar quadrangulation: subdiffusivity via pioneer points
Benjamini, I., and Curien, N · 2013
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A view from infinity of the uniform infinite planar quadrangulation
Curien, N., Ménard, L., and Miermont, G · 2013
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Subdiffusivity of random walk on the 2D invasion percolation cluster
Damron, M., Hanson, J., and Sosoe, P · 2013
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Recurrence of planar graph limits
Gurel-Gurevich, O., and Nachmias, A · 2013
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Recurrence of bipartite planar maps
Björnberg, J., and Stefánsson, S. Ö · 2014
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The peeling process of infinite Boltzmann planar maps
Budd, T · 2016
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Probability on trees and networks
Lyons, R., and Peres, Y · 2016
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Peeling of random planar maps (lecture notes)
Budd, T · 2017
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Geometry of infinite planar maps with high degrees
Budd, T., and Curien, N · 2017
Cited alongside, same era.
Random walk on random planar maps: spectral dimension, resistance, and displacement
Gwynne, E., and Miller, J · 2017
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How fast planar maps get swallowed by a peeling process
Curien, N., and Marzouk, C · 2018
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The skeleton of the UIPT, seen from infinity
Curien, N., and Ménard, L · 2018
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Anomalous diffusion of random walk on random planar maps
Gwynne, E., and Hutchcroft, T · 2018
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Planar Maps, Random Walks and Circle Packing (Saint-Flour lecture notes)
Nachmias, A · 2018
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Local convergence of large critical multi-type Galton-Watson trees and applications to random maps
Stephenson, R · 2018
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Peeling random planar maps (Saint-Flour lecture notes)
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Lee, J. R · 2017
Cited alongside, same era.
Curien, N · 2019
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Markovian explorations of random planar maps are roundish
Curien, N., and Marzouk, C · 2019
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