80 citations · 603 across the 44 of their papers we have counts for
3 papers · 1 filter
Phase transition in the spanning-hyperforest model on complete hypergraphs
Andrea Bedini, Sergio Caracciolo, Andrea Sportiello
By using our novel Grassmann formulation we study the phase transition of the spanning-hyperforest model of the k-uniform complete hypergraph for any k>= 2. The case k=2 reduces to…
Some geometric critical exponents for percolation and the random-cluster model
Youjin Deng, Wei Zhang, Timothy M. Garoni +2
We introduce several infinite families of new critical exponents for the random-cluster model and present scaling arguments relating them to the k-arm exponents. We then present Mo…
Spanning Forests on Random Planar Lattices
Sergio Caracciolo, Andrea Sportiello
The generating function for spanning forests on a lattice is related to the q-state Potts model in a certain q -> 0 limit, and extends the analogous notion for spanning trees, or d…