61 citations · 62 across the 4 of their papers we have counts for
4 papers
A combinatorial approach to jumping particles
Enrica Duchi, Gilles Schaeffer
In this paper we consider a model of particles jumping on a row of cells, called in physics the one dimensional totally asymmetric exclusion process (TASEP). More precisely we deal…
On the Asymptotic Number of Plane Curves and Alternating Knots
Gilles Schaeffer, Paul Zinn-Justin
We present a conjecture for the power-law exponent in the asymptotic number of types of plane curves as the number of self-intersections goes to infinity. In view of the descriptio…
The degree distribution in bipartite planar maps: applications to the Ising model
Mireille Bousquet-Melou, Gilles Schaeffer
We characterize the generating function of bipartite planar maps counted according to the degree distribution of their black and white vertices. This result is applied to the solut…
Random Planar Lattices and Integrated SuperBrownian Excursion
Philippe Chassaing, Gilles Schaeffer
In this paper, a surprising connection is described between a specific brand of random lattices, namely planar quadrangulations, and Aldous' Integrated SuperBrownian Excursion (ISE…