output
19972026
most citedAnalysis of a Random Forests Model

678 citations

Showing 2014 · math.PRShow all

7 papers · 2 filters

math.PR2014

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.

math.PR2014★ 8 cited

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…

math.PR2014★ 1 cited

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…

math.PR2014★ 15 cited

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…

math.PR2014★ 37 cited

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…

math.PR2014★ 2 cited

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…