3 papers
math.PR2021
Metastability for the Ising model on the hexagonal lattice
Valentina Apollonio, Vanessa Jacquier, Francesca Romana Nardi +1
We consider the Ising model on the hexagonal lattice evolving according to Metropolis dynamics. We study its metastable behavior in the limit of vanishing temperature when the syst…
math-ph2019
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…