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7 papers · 2 filters
Random maps: proceeding of the Journ{é}es MAS 2014
Céline Abraham, Jérémie Bettinelli, Gwendal Collet +1
This is a quick survey on some recent works done in the field of random maps.
Liouville Quantum Gravity on the Riemann sphere
François David, Antti Kupiainen, Rémi Rhodes +1
In this paper, we rigorously construct Liouville Quantum Field Theory on the Riemann sphere introduced in the 1981 seminal work by Polyakov "Quantum Geometry of bosonic string…
A line-breaking construction of the stable trees
Christina Goldschmidt, Bénédicte Haas
We give a new, simple construction of the -stable tree for . We obtain it as the closure of an increasing sequence of -trees inductively built by gluing…
Perfect sampling algorithm for Schur processes
Dan Betea, Cédric Boutillier, Jérémie Bouttier +3
We describe random generation algorithms for a large class of random combinatorial objects called Schur processes, which are sequences of random (integer) partitions subject to cer…
KPZ formula derived from Liouville heat kernel
Nathanaël Berestycki, Christophe Garban, Rémi Rhodes +1
In this paper, we establish the Knizhnik--Polyakov--Zamolodchikov (KPZ) formula of Liouville quantum gravity, using the heat kernel of Liouville Brownian motion. This derivation of…
Scaling limits and influence of the seed graph in preferential attachment trees
Nicolas Curien, Thomas Duquesne, Igor Kortchemski +1
We are interested in the asymptotics of random trees built by linear preferential attachment, also known in the literature as Barabási-Albert trees or plane-oriented recursive tree…