58 citations · 391 across the 53 of their papers we have counts for
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math.PR2015
First-passage percolation and local modifications of distances in random triangulations
Nicolas Curien, Jean-François Le Gall
We study local modifications of the graph distance in large random triangulations. Our main results show that, in large scales, the modified distance behaves like a deterministic c…
math.PR2015
Geometry of the Uniform Infinite Half-Planar Quadrangulation
Alessandra Caraceni, Nicolas Curien
We give a new construction of the uniform infinite half-planar quadrangulation with a general boundary (or UIHPQ), analogous to the construction of the UIPQ presented by Chassaing…
math.PR2015★ 12 cited
Random planar maps & growth-fragmentations
Jean Bertoin, Nicolas Curien, Igor Kortchemski
We are interested in the cycles obtained by slicing at all heights random Boltzmann triangulations with a simple boundary. We establish a functional invariance principle for the le…