This is a presentation of work done during my PhD thesis, KTH 2012-2016. The thesis is based upon the papers
Erik Aurell, Gino Del Ferraro, Eduardo Dominguez, Roberto Mulet
A Cavity Master Equation for the continuous time dynamics of discrete spins models
[arXiv:1607.06959] (2016)
Eduardo Dominguez, Gino Del Ferraro, Federico Ricci-Tersenghi
A simple approach to the dynamics of Ising spin system
[arXiv:1607.05242] (2016)
Erik Aurell, Gino Del Ferraro, Causal analysis, Correlation-Response and Dynamic cavity, Journal of Physics: Conference Series 699, 012002(2016)
Gino Del Ferraro, Chuang Wang, Dani Martì , Marc Mézard,
Cavity Method: Message Passing from a Physics Perspective
[arXiv:1409.3048](2015)
Gino Del Ferraro, Chuang Wang, Hai-Jun Zhou, Erik Aurell,
On one-step replica symmetry breaking in the Edwards-Anderson spin glass model
Journal of Statistical Mechanics: Theory and Experiment(2016)
Gino Del Ferraro, Erik Aurell,
Dynamic message-passing approach for kinetic spin models with reversible dynamics
Phys. Rev. E 92, 010102(2015)
Gino Del Ferraro, Erik Aurell
Perturbative large deviation analysis of non-equilibrium dynamics
J. Phys. Soc. Japan 83 084001 [arXiv:1401.4685](2014)