output
19972026
most citedAnalysis of a Random Forests Model

678 citations

Showing 2015 · math.PRShow all

6 papers · 2 filters

math.PR2015★ 29 cited

Maximal displacement of a supercritical branching random walk in a time-inhomogeneous random environment

Bastien Mallein, Piotr Miłoś

The behavior of the maximal displacement of a supercritical branching random walk has been a subject of intense studies for a long time. But only recently the case of time-inhomoge…

math.PR2015★ 8 cited

Renormalizability of Liouville Quantum Gravity at the Seiberg bound

François David, Antti Kupiainen, Rémi Rhodes +1

Liouville Quantum Field Theory can be seen as a probabilistic theory of 2d Riemannian metrics , conjecturally describing scaling limits of discrete -random surfac…

math.PR2015★ 61 cited

Liouville Quantum Gravity on the complex tori

François David, Rémi Rhodes, Vincent Vargas

In this paper, we construct Liouville Quantum Field Theory (LQFT) on the toroidal topology in the spirit of the 1981 seminal work by Polyakov. Our approach follows the construction…

math.PR2015★ 6 cited

Continuity estimates for the complex cascade model on the phase boundary

Thomas Madaule, Rémi Rhodes, Vincent Vargas

We consider the complex branching random walk on a dyadic tree with Gaussian weights on the boundary between the diffuse phase and the glassy phase. We study the branching random w…

math.PR2015★ 21 cited

Branching random walk with selection at critical rate

Bastien Mallein

We consider a branching-selection particle system on the real line. In this model the total size of the population at time is limited by . At each s…

math.PR2015★ 8 cited

Liouville Quantum Gravity on the unit disk

Yichao Huang, Rémi Rhodes, Vincent Vargas

Our purpose is to pursue the rigorous construction of Liouville Quantum Field Theory on Riemann surfaces initiated by F. David, A. Kupiainen and the last two authors in the context…