Metastable Markov chains: from the convergence of the trace to the convergence of the finite-dimensional distributions
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Publication:1990229
DOI10.1214/18-EJP220zbMath1414.60080arXiv1703.09481MaRDI QIDQ1990229
Michail Loulakis, Mustapha Mourragui, Claudio Landim
Publication date: 25 October 2018
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.09481
Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Continuous-time Markov processes on discrete state spaces (60J27)
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Cites Work
- Unnamed Item
- Unnamed Item
- Metastable states, quasi-stationary distributions and soft measures
- Conditioned, quasi-stationary, restricted measures and escape from metastable states
- Metastability of the two-dimensional Blume-Capel model with zero chemical potential and small magnetic field
- Dynamics of condensation in the symmetric inclusion process
- Universality of trap models in the ergodic time scale
- Mixing times are hitting times of large sets
- Metastability of non-reversible, mean-field Potts model with three spins
- Metastability of reversible finite state Markov processes
- Quenched scaling limits of trap models
- Tunneling and metastability of continuous time Markov chains
- Metastability in a condensing zero-range process in the thermodynamic limit
- Polymer dynamics in the depinned phase: metastability with logarithmic barriers
- Metastability of reversible random walks in potential fields
- Critical droplets and metastability for a Glauber dynamics at very low temperatures
- Metastability for general dynamics with rare transitions: escape time and critical configurations
- Asymptotically exponential hitting times and metastability: a pathwise approach without reversibility
- On the approach to equilibrium for a polymer with adsorption and repulsion
- Metastable behavior of stochastic dynamics: A pathwise approach
- The pattern of escape from metastability of a stochastic Ising model
- Metastability and low lying spectra in reversible Markov chains
- Tunneling and metastability of continuous time Markov chains. II: The nonreversible case
- Relaxation height in energy landscapes: an application to multiple metastable states
- A topology for limits of Markov chains
- A martingale approach to metastability
- Tunneling of the Kawasaki dynamics at low temperatures in two dimensions
- Zero-temperature limit of the Kawasaki dynamics for the Ising lattice gas in a large two-dimensional torus
- Metastability in the reversible inclusion process
- Metastability of reversible condensed zero range processes on a finite set
- A Dirichlet principle for non reversible Markov chains and some recurrence theorems
- Metastability for a non-reversible dynamics: the evolution of the condensate in totally asymmetric zero range processes
- A mathematical perspective on metastable wetting
- Metastability of finite state Markov chains: a recursive procedure to identify slow variables for model reduction
- Which random walks are cyclic?
- Sum of Exit Times in Series of Metastable States in Probabilistic Cellular Automata
- Some Inequalities for Reversible Markov Chains
- Metastability of Nonreversible Random Walks in a Potential Field and the Eyring‐Kramers Transition Rate Formula
- Metastability in stochastic dynamics of disordered mean-field models