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cond-mat.stat-mech2026
Conditional-path Monte Carlo for rare stochastic dynamics on networks: Details and derivations
Thomas Barthel, Jiazheng Sun, Jhao-Hong Peng
The simulation of rare macroscopic events in stochastic network dynamics, such as widespread epidemic outbreaks, cascading failures in communication networks, or the escape from me…
cond-mat.stat-mech2025
Nonequilibrium steady-state dynamics of Markov processes on graphs
Stefano Crotti, Thomas Barthel, Alfredo Braunstein
We propose an analytic approach for the steady-state dynamics of Markov processes on locally tree-like graphs. It is based on time-translation invariant probability distributions f…