131 citations · 962 across the 53 of their papers we have counts for
53 papers
New duality relation for the Discrete Gaussian SOS model on a torus
F. Cornu, H. J. Hilhorst, M. Bauer
We construct a new duality for two-dimensional Discrete Gaussian models. It is based on a known one-dimensional duality and on a mapping, implied by the Chinese remainder theorem,…
Iterated star-triangle transformation on inhomogeneous 2D Ising lattices
H. J. Hilhorst
We consider infinite or periodic 2D triangular Ising lattices with arbitrary positive or negative nearest-neighbor couplings , where and indicate the bo…
On the oddness of percolation
C. Appert-Rolland, H. J. Hilhorst
Recently Mertens and Moore [arXiv:1909.01484v1] showed that site percolation "is odd." By this they mean that on an square lattice the number of distinct site configura…
Density decay and growth of correlations in the Game of Life
F. Cornu, H. J. Hilhorst
We study the Game of Life as a statistical system on an square lattice with periodic boundary conditions. Starting from a random initial configuration of density $ρ_{\r…
Mixed-strategy Nash equilibrium for a discontinuous symmetric -player game
H. J. Hilhorst, C. Appert-Rolland
We consider a game in which each player must find a compromise between more daring strategies that carry a high risk for him to be eliminated, and more cautious ones that, however,…
Nash equilibrium in a stochastic model of two competing athletes
Cecile Appert-Rolland, Hendrik-Jan Hilhorst, Amandine Aftalion
We propose a toy model for a stochastic description of the competition between two athletes of unequal strength, whose average strength difference is represented by a parameter …