3 papers
math.PR2013
Percolations on random maps I: half-plane models
Omer Angel, Nicolas Curien
We study Bernoulli percolations on random lattices of the half-plane obtained as local limit of uniform planar triangulations or quadrangulations. Using the characteristic spatial…
math.PR2012
The stable trees are nested
Nicolas Curien, Bénédicte Haas
We show that we can construct simultaneously all the stable trees as a nested family. More precisely, if we prove that hidden inside any a-stable we can find a…
math.PR2011
The Brownian Cactus I. Scaling limits of discrete cactuses
Nicolas Curien, Jean-François Le Gall, Grégory Miermont
The cactus of a pointed graph is a discrete tree associated with this graph. Similarly, with every pointed geodesic metric space , one can associate an -tree called the cont…