G
Grégory Miermont
Researcher at École normale supérieure de Lyon
Publications - 69
Citations - 2976
Grégory Miermont is an academic researcher from École normale supérieure de Lyon. The author has contributed to research in topics: Scaling limit & Random tree. The author has an hindex of 28, co-authored 66 publications receiving 2712 citations. Previous affiliations of Grégory Miermont include Institut Universitaire de France & Département de Mathématiques.
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The Brownian map is the scaling limit of uniform random plane quadrangulations
TL;DR: In this paper, it was shown that uniform random quadrangulations of the sphere with n faces, endowed with the usual graph distance and renormalized by n−1/4, converge as n → ∞ in distribution for the Gromov-Hausdorff topology to a limiting metric space.
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Tessellations of random maps of arbitrary genus
TL;DR: In this paper, les proprietes de mosaiques de type Voronoi sur des quadrangulations bipartites de genre arbitraire are examined, and les limites d'echelles of ces quadrangulation aleatoires sont telles que presque toute paire de points liee par un unique chemin geodesique.
Posted Content
Scaling limits of random trees and planar maps
TL;DR: In this paper, the scaling limits of random trees and planar maps are discussed in a series of lectures given at the Clay Mathematical Institute Summer School in Buzios, Greece.
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Invariance principles for random bipartite planar maps
TL;DR: In this paper, it was shown that the radius of a random quadrangulation with n vertices converges to a scaled version of the diameter of the Brownian snake under a criticality assumption.
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Scaling limits of random planar maps with large faces
TL;DR: In this paper, asymptotics for large random planar maps under the assumption that the degree of a typical face is in the domain of attraction of a stable distribution with index π in(1,2) were discussed.