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math.PR2018
Supercritical causal maps : geodesics and simple random walk
Thomas Budzinski
We study the random planar maps obtained from supercritical Galton--Watson trees by adding the horizontal connections between successive vertices at each level. These are the hyper…
math.PR2018
Infinite geodesics in hyperbolic random triangulations
Thomas Budzinski
We study the structure of infinite geodesics in the Planar Stochastic Hyperbolic Triangulations , which are the hyperbolic analogs of the UIPT. We prove that these ge…