24 citations · 85 across the 17 of their papers we have counts for
8 papers · 1 filter
A Gibbsian random tree with nearest neighbour interaction
Pierre Collet, François Dunlop, Thierry Huillet +1
We revisit the random tree model with nearest-neighbour interaction as described in previous work, enhancing growth. When the underlying free Bienaymé-Galton-Watson (BGW) model is…
Wetting transitions for a random line in long-range potential
P. Collet, F. Dunlop, T. Huillet
We consider a restricted Solid-on-Solid interface in , subject to a potential behaving at infinity like . Whenever there is a we…
Space-time correlations of a Gaussian interface
Francois M. Dunlop
The serial harness introduced by Hammersley is equivalent, in the Gaussian case, to the Gaussian Solid-On-Solid interface model with parallel heat bath dynamics. Here we consider s…
Random walk versus random line
Joel De Coninck, Francois Dunlop, Thierry Huillet
We consider random walks X_n in Z+, obeying a detailed balance condition, with a weak drift towards the origin when X_n tends to infinity. We reconsider the equivalence in law betw…
Random walk weakly attracted to a wall
Joël De Coninck, François Dunlop, Thierry Huillet
We consider a random walk X_n in Z_+, starting at X_0=x>= 0, with transition probabilities P(X_{n+1}=X_n+1|X_n=y>=1)=1/2-δ/(4y+2δ) P(X_{n+1}=X_n+1|X_n=y>=1)=1/2+δ/(4y+2δ) and X_{n+…
A necklace of Wulff shapes
Joël De Coninck, François Dunlop, Thierry Huillet
In a probabilistic model of a film over a disordered substrate, Monte-Carlo simulations show that the film hangs from peaks of the substrate. The film profile is well approximated…