Markov chains with exponentially small transition probabilities: First exit problem from a general domain. II: The general case.
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Publication:1593469
DOI10.1007/BF02174126zbMath1081.60542OpenAlexW1999411474MaRDI QIDQ1593469
Enzo Olivieri, Elisabetta Scoppola
Publication date: 16 January 2001
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02174126
Continuous-time Markov processes on discrete state spaces (60J27) Boundary theory for Markov processes (60J50)
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Cites Work
- Unnamed Item
- Asymptotic behavior of eigenvalues and random updating schemes
- Critical droplets and metastability for a Glauber dynamics at very low temperatures
- Behavior of droplets for a class of Glauber dynamics at very low temperature
- Singular perturbed Markov chains and exact behaviors of simulated annealing processes
- Rough large deviation estimates for simulated annealing: Application to exponential schedules
- A limit theorem for a class of inhomogeneous Markov processes
- Markov chains with exponentially small transition probabilities: first exit problem from a general domain. I: The reversible case.
- Renormalization group for Markov chains and application to metastability
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