12 citations · 39 across the 12 of their papers we have counts for
3 papers · 1 filter
Parallel simulation of two--dimensional Ising models using Probabilistic Cellular Automata
Roberto D'Autilia, Louis Nantenaina Andrianaivo, Alessio Troiani
We perform a numerical investigation of the \emph{shaken dynamics}, a parallel Markovian dynamics for spin systems with local interaction and whose transition probabilities depend…
Criticality of measures on 2-d Ising configurations: from square to hexagonal graphs
Valentina Apollonio, Roberto D'Autilia, Benedetto Scoppola +2
On the space of Ising configurations on the 2-d square lattice, we consider a family of non Gibbsian measures introduced by using a pair Hamiltonian, depending on an additional ine…
Shaken dynamics: an easy way to parallel Markov Chain Monte Carlo
Valentina Apollonio, Roberto D'Autilia, Benedetto Scoppola +2
We define a class of Markovian parallel dynamics for spin systems on arbitrary graphs with nearest neighbor interaction described by a Hamiltonian function . These dynamics t…