29 citations · 70 across the 5 of their papers we have counts for
5 papers
Explicit characterization of the identity configuration in an Abelian Sandpile Model
Sergio Caracciolo, Guglielmo Paoletti, Andrea Sportiello
Since the work of Creutz, identifying the group identities for the Abelian Sandpile Model (ASM) on a given lattice is a puzzling issue: on rectangular portions of Z^2 complex quasi…
Hyperforests on the Complete Hypergraph by Grassmann Integral Representation
Andrea Bedini, Sergio Caracciolo, Andrea Sportiello
We study the generating function of rooted and unrooted hyperforests in a general complete hypergraph with n vertices by using a novel Grassmann representation of their generating…
Renormalization flow for unrooted forests on a triangular lattice
Sergio Caracciolo, Claudia De Grandi, Andrea Sportiello
We compute in small temperature expansion the two-loop renormalization constants and the three-loop coefficient of the beta-function, that is the first non-universal term, for the…
Grassmann Integral Representation for Spanning Hyperforests
Sergio Caracciolo, Alan D. Sokal, Andrea Sportiello
Given a hypergraph G, we introduce a Grassmann algebra over the vertex set, and show that a class of Grassmann integrals permits an expansion in terms of spanning hyperforests. Spe…
A Hike in the Phases of the 1-in-3 Satisfiability
Elitza Maneva, Talya Meltzer, Jack Raymond +2
We summarise our results for the random --1-in-3 satisfiability problem, where is a probability of negation of the variable. We employ both rigorous and heuristic methods to…