Metastable Markov chains: from the convergence of the trace to the convergence of the finite-dimensional distributions

Abstract

We consider continuous-time Markov chains which display a family of wells at the same depth. We provide sufficient conditions which entail the convergence of the finite-dimensional distributions of the order parameter to the ones of a finite state Markov chain. We also show that the state of the process can be represented as a time-dependent convex combination of metastable states, each of which is supported on one well.

References in corpus (3)

• Relaxation Height in Energy Landscapes: an Application to Multiple Metastable States
• Metastability of non-reversible mean-field Potts model with three spins
• Condensation of Non-Reversible Zero-Range Processes

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