58 citations · 391 across the 53 of their papers we have counts for
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math.PR2016
Self-Avoiding Walks on the UIPQ
Alessandra Caraceni, Nicolas Curien
We study an annealed model of Uniform Infinite Planar Quadrangulation (UIPQ) with an infinite two-sided self-avoiding walk (SAW), which can also be described as the result of gluei…
math.PR2016
Martingales in self-similar growth-fragmentations and their connections with random planar maps
Jean Bertoin, Timothy Budd, Nicolas Curien +1
The purpose of the present work is twofold. First, we develop the theory of general self-similar growth-fragmentation processes by focusing on martingales which appear naturally in…
math.PR2016★ 29 cited
Geometry of infinite planar maps with high degrees
Timothy Budd, Nicolas Curien
We study the geometry of infinite random Boltzmann planar maps with vertices of high degree. These correspond to the duals of the Boltzmann maps associated to a critical weight seq…