23 citations · 62 across the 4 of their papers we have counts for
4 papers
Nesting statistics in the O(n) loop model on random planar maps
Gaëtan Borot, Jérémie Bouttier, Bertrand Duplantier
In the O(n) loop model on random planar maps, we study the depth - in terms of the number of levels of nesting - of the loop configuration, by means of analytic combinatorics. We f…
Renormalization of Critical Gaussian Multiplicative Chaos and KPZ formula
Bertrand Duplantier, Rémi Rhodes, Scott Sheffield +1
Gaussian Multiplicative Chaos is a way to produce a measure on (or subdomain of ) of the form , where is a log-correlated Gaussian field and $γ\in [0…
Geometry of the Casimir Effect
Roger Balian, Bertrand Duplantier
When the vacuum is partitioned by material boundaries with arbitrary shape, one can define the zero-point energy and the free energy of the electromagnetic waves in it: this can be…
Exact scaling form for the collapsed 2D polymer phase
Bertrand Duplantier
It has been recently argued that interacting self-avoiding walks (ISAW) of length in their low temperature phase (i.e. below the -point) should have a partition func…