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math-ph2019★ 8 cited
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…
math-ph2019
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…