3 citations · 7 across the 4 of their papers we have counts for
4 papers · 1 filter
Multiple geodesics with the same direction
David Coupier
The directed last-passage percolation (LPP) model with independent exponential times is considered. We complete the study of asymptotic directions of infinite geodesics, started by…
Two sufficient conditions for Poisson approximations in the ferromagnetic Ising model
David Coupier
A -dimensional ferromagnetic Ising model on a lattice torus is considered. As the size of the lattice tends to infinity, two conditions ensuring a Poisson approximation for the…
Zero-one laws for binary random fields
David Coupier, Paul Doukhan, Bernard Ycart
A set of binary random variables indexed by a lattice torus is considered. Under a mixing hypothesis, the probability of any proposition belonging to the first order logic of color…
Poisson approximations for the Ising model
David Coupier
A -dimensional Ising model on a lattice torus is considered. As the size of the lattice tends to infinity, a Poisson approximation is given for the distribution of the numbe…