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math-ph2022★ 1 cited
Galton-Watson trees with first ancestor interaction
Francois Dunlop, Arif Mardin
We consider the set of random Bienaymé-Galton-Watson trees with a bounded number of offspring and bounded number of generations as a statistical mechanics model: a random tree is a…
math-ph2009★ 1 cited
Layering and wetting transitions for an SOS interface
Kenneth S. Alexander, François Dunlop, Salvador Miracle-Solé
We study the solid-on-solid interface model above a horizontal wall in three dimensional space, with an attractive interaction when the interface is in contact with the wall, at lo…