75 citations · 438 across the 33 of their papers we have counts for
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math.PR2012★ 23 cited
Quantum gravity and the KPZ formula
Christophe Garban
This text is a survey (Bourbaki seminar) on the paper "Liouville quantum gravity and KPZ" By B.Duplantier and S.Sheffield. The study of statistical physics models in two dimensions…
math.PR2012★ 5 cited
The Ising magnetization exponent on Z^2 is 1/15
Federico Camia, Christophe Garban, Charles M. Newman
We prove that for the Ising model defined on the plane at , the average magnetization under an external magnetic field behaves exactly like \[{σ_0}_{β_c, h} \as…
math.PR2012★ 42 cited
Planar Ising magnetization field I. Uniqueness of the critical scaling limit
Federico Camia, Christophe Garban, Charles M. Newman
The aim of this paper is to prove the following result. Consider the critical Ising model on the rescaled grid , then the renormalized magnetization field \[Φ^a:=a^{…