64 citations · 184 across the 4 of their papers we have counts for
4 papers
Duality and KPZ in Liouville Quantum Gravity
Bertrand Duplantier, Scott Sheffield
We present a (mathematically rigorous) probabilistic and geometrical proof of the KPZ relation between scaling exponents in a Euclidean planar domain D and in Liouville quantum gra…
Harmonic measure and winding of random conformal paths: A Coulomb gas perspective
Bertrand Duplantier, Ilia Binder
We consider random conformally invariant paths in the complex plane (SLEs). Using the Coulomb gas method in conformal field theory, we rederive the mixed multifractal exponents ass…
Conformal Random Geometry
Bertrand Duplantier
In these Notes, a comprehensive description of the universal fractal geometry of conformally-invariant scaling curves or interfaces, in the plane or half-plane, is given. The prese…
Conformal Fractal Geometry and Boundary Quantum Gravity
Bertrand Duplantier
This article gives a comprehensive description of the fractal geometry of conformally-invariant (CI) scaling curves, in the plane or half-plane. It focuses on deriving critical exp…