47 citations · 114 across the 7 of their papers we have counts for
8 papers
Liouville Quantum Duality and Random Planar Maps II
Bertrand Duplantier, Emmanuel Guitter
This is Part II of our project on block-weighted planar maps and Liouville quantum duality. Focusing on the scaling properties at the dual critical point, we derive the conditional…
Integral Means Spectrum for the Random Riemann Zeta Function
Bertrand Duplantier, Véronique Gayrard, Eero Saksman
We study the integral means spectrum associated with the analytic function whose derivative is the so-called randomized Riemann zeta-function, introduced some time ago by Bagchi. T…
Liouville Quantum Duality and Random Planar Maps
Bertrand Duplantier, Emmanuel Guitter
We consider models of block-weighted random planar maps in which possibly decorated maps are decomposed canonically into blocks, each block receiving the weight . These maps pre…
Liouville quantum gravity as a mating of trees
Bertrand Duplantier, Jason Miller, Scott Sheffield
There is a simple way to "glue together" a coupled pair of continuum random trees (CRTs) to produce a topological sphere. The sphere comes equipped with a measure and a space-filli…
A Bijection between well-labelled positive paths and matchings
Olivier Bernardi, Bertrand Duplantier, Philippe Nadeau
A well-labelled positive path of size n is a pair (p,σ) made of a word p=p_1p_2...p_{n-1} on the alphabet {-1, 0,+1} such that the sum of the letters of any prefix is non-negative,…
Renormalization and Hyperscaling for Self-Avoiding Manifold Models
F. David, B. Duplantier, E. Guitter
The renormalizability of the self-avoiding manifold (SAM) Edwards model is established. We use a new short distance multilocal operator product expansion (MOPE), which extends meth…
Renormalization of Crumpled Manifolds
F. David, B. Duplantier, E. Guitter
We consider a model of D-dimensional tethered manifold interacting by excluded volume in R^d with a single point. By use of intrinsic distance geometry, we first provide a rigorous…
Renormalization Theory for Interacting Crumpled Manifolds
F. David, B. Duplantier, E. Guitter
We consider a continuous model of D-dimensional elastic (polymerized) manifold fluctuating in d-dimensional Euclidean space, interacting with a single impurity via an attractive or…