29 citations · 82 across the 20 of their papers we have counts for
4 papers · 2 filters
Geometry and percolation on half planar triangulations
Gourab Ray
We analyze the geometry of domain Markov half planar triangulations. In \cite{AR13} it is shown that there exists a one-parameter family of measures supported on half planar triang…
The local limit of unicellular maps in high genus
Omer Angel, Guillaume Chapuy, Nicolas Curien +1
We show that the local limit of unicellular maps whose genus is proportional to the number of edges is a supercritical geometric Galton-Watson tree conditioned to survive. The proo…
Large Unicellular maps in high genus
Gourab Ray
We study the geometry of a random unicellular map which is uniformly distributed on the set of all unicellular maps whose genus size is proportional to the number of edges of the m…
Classification of Half Planar Maps
Omer Angel, Gourab Ray
We characterize all translation invariant half planar maps satisfying a certain natural domain Markov property. For p-angulations with p \ge 3 where all faces are simple, we show t…