149 citations · 521 across the 25 of their papers we have counts for
25 papers
Perturbing Isoradial Triangulations
Francois David, Jeanne Scott
We consider an infinite, planar, Delaunay graph which is obtained by locally deforming the embedding of a general, isoradial graph, w.r.t. a real deformation parameter . This en…
Quantum walk on a comb with infinite teeth
Francois David, Thordur Jonsson
We study continuous time quantum random walk on a comb with infinite teeth and show that the return probability to the starting point decays with time as . We analyse t…
Large Strebel graphs and Liouville CFT
Séverin Charbonnier, Bertrand Eynard, François David
2D quantum gravity is the idea that a set of discretized surfaces (called map, a graph on a surface), equipped with a graph measure, converges in the large size limit (large number…
Local properties of the random Delaunay triangulation model and topological 2D gravity
Séverin Charbonnier, François David, Bertrand Eynard
Delaunay triangulations provide a bijection between a set of points in the complex plane, and the set of triangulations with given circumcircle intersection angles. The unifo…
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…
Liouville Quantum Gravity on the Riemann sphere
François David, Antti Kupiainen, Rémi Rhodes +1
In this paper, we rigorously construct Liouville Quantum Field Theory on the Riemann sphere introduced in the 1981 seminal work by Polyakov "Quantum Geometry of bosonic string…