266 citations · 2.3k across the 93 of their papers we have counts for
94 papers
Percolation and criticality of systems with competing interactions on Bethe lattices: limitations and potential strengths of cluster schemes
Greivin Alfaro Miranda, Mingyuan Zheng, Patrick Charbonneau +3
The random clusters introduced by Fortuin and Kasteleyn (FK) and analyzed by Coniglio and Klein (CK) for Ising and related models have led first Swendsen and Wang and then Wolff to…
Modeling public opinion control by a charismatic leader
Tiago S. A. N. Simões, Antonio Coniglio, Hans J. Herrmann +1
We study the average long-time behavior of the binary opinions of a social group with peer-to-peer interactions under the influence of an external bias and a persuadable leader, a…
Jamming as a random first-order percolation transition
Antonio Piscitelli, Antonio Coniglio, Annalisa Fierro +1
We determine the dimensional dependence of the percolative exponents of the jamming transition via numerical simulations in four and five spatial dimensions. These novel results co…
Relation between Statics and Dynamics in the Quench of the Ising Model to below the Critical Point
Annalisa Fierro, Antonio Coniglio, Marco Zannetti
The standard phase-ordering process is obtained by quenching a system, like the Ising model, to below the critical point. This is usually done with periodic boundary conditions to…
The Mathieu Differential Equation and Generalizations to Infinite Fractafolds
Shiping Cao, Anthony Coniglio, Xueyan Niu +2
One of the well-studied equations in the theory of ODEs is the Mathieu differential equation. A common approach for obtaining solutions is to seek solutions via Fourier series by c…
Condensation of Fluctuations in the Ising Model: a Transition without Spontaneous Symmetry Breaking
Annalisa Fierro, Antonio Coniglio, Marco Zannetti
The ferromagnetic transition in the Ising model is the paradigmatic example of ergodicity breaking accompanied by symmetry breaking. It is routinely assumed that the thermodynamic…