67 citations · 180 across the 4 of their papers we have counts for
4 papers
Height variables in the Abelian sandpile model: scaling fields and correlations
Monwhea Jeng, Geoffroy Piroux, Philippe Ruelle
We compute the lattice 1-site probabilities, on the upper half-plane, of the four height variables in the two-dimensional Abelian sandpile model. We find their exact scaling form w…
Logarithmic scaling for height variables in the Abelian sandpile model
Geoffroy Piroux, Philippe Ruelle
We report on the exact computation of the scaling form of the 1-point function, on the upper-half plane, of the height 2 variable in the two-dimensional Abelian sandpile model. By…
Boundary height fields in the Abelian sandpile model
Geoffroy Piroux, Philippe Ruelle
We study the abelian sandpile model on the upper half plane, and reconsider the correlations of the four height variables lying on the boundary. For more convenience, we carry out…
Pre-logarithmic and logarithmic fields in a sandpile model
Geoffroy Piroux, Philippe Ruelle
We consider the unoriented two-dimensional Abelian sandpile model on the half-plane with open and closed boundary conditions, and relate it to the boundary logarithmic conformal fi…