678 citations
- École Normale Supérieure - PSLFR647 papers
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- Université Paris Sciences et LettresFR162 papers
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5 papers · 2 filters
On conformally invariant CLE explorations
Wendelin Werner, Hao Wu
We study some conformally invariant dynamic ways to construct the Conformal Loop Ensembles with simple loops introduced in earlier papers by Sheffield, and by Sheffield and Werner.…
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…
Random laminations and multitype branching processes
Nicolas Curien, Yuval Peres
We consider multitype branching processes arising in the study of random laminations of the disk. We classify these processes according to their subcritical or supercritical behavi…
The right tail exponent of the Tracy-Widom-beta distribution
Laure Dumaz, Bálint Virág
The Tracy-Widom beta distribution is the large dimensional limit of the top eigenvalue of beta random matrix ensembles. We use the stochastic Airy operator representation to show t…
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…