58 citations · 391 across the 53 of their papers we have counts for
5 papers · 1 filter
Iterating Brownian motions, ad libitum
Nicolas Curien, Takis Konstantopoulos
Let B_1,B_2, ... be independent one-dimensional Brownian motions defined over the whole real line such that B_i(0)=0. We consider the nth iterated Brownian motion W_n(t)= B_n(B_{n-…
Strong convergence of partial match queries in random quadtrees
Nicolas Curien
We prove that the rescaled costs of partial match queries in a random two-dimensional quadtree converge almost surely towards a random limit which is identified as the terminal val…
Recurrence of the -valued infinite snake via unimodularity
Itai Benjamini, Nicolas Curien
We use the concept of unimodular random graph to show that the branching simple random walk on indexed by a critical geometric Galton-Watson tree conditioned to su…
The Markovian hyperbolic triangulation
Nicolas Curien, Wendelin Werner
We construct and study the unique random tiling of the hyperbolic plane into ideal hyperbolic triangles (with the three corners located on the boundary) that is invariant (in law)…
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…