On metastability
DOI10.1007/s00440-022-01147-8zbMath1500.60046OpenAlexW4281627056MaRDI QIDQ2089756
Publication date: 24 October 2022
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00440-022-01147-8
metastabilityPoisson equationexit timequasi-stationary distributionfirst Dirichlet eigenvalueeigentime identityexit positionfinite absorbing Markov processsmall temperaturespectral quantitative criterion
Inequalities; stochastic orderings (60E15) Inequalities involving eigenvalues and eigenvectors (15A42) Probabilistic potential theory (60J45) Continuous-time Markov processes on discrete state spaces (60J27) Transition functions, generators and resolvents (60J35)
Cites Work
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- Metastable states, quasi-stationary distributions and soft measures
- Strong stationary times via a new form of duality
- On times to quasi-stationarity for birth and death processes
- The passage time distribution for a birth-and-death chain: Strong stationary duality gives a first stochastic proof
- Simulated annealing via Sobolev inequalities
- On discrete inhomogeneous exit problems
- Inequalities for rare events in time-reversible Markov chains. I.
- Dirichlet's and Thomson's principles for non-selfadjoint elliptic operators with application to non-reversible metastable diffusion processes
- Perturbation theory for linear operators.
- Asymptotics of exit times for Markov jump processes. II: Applications to Jackson networks
- An exercise(?) in Fourier analysis on the Heisenberg group
- A martingale approach to metastability
- Sharp asymptotics of the first exit point density
- Exact results on the first hitting via conditional strong quasi-stationary times and applications to metastability
- Quasi-Stationary Distributions
- On absorption times and Dirichlet eigenvalues
- The cutoff phenomenon in finite Markov chains.
- On the Markovian Similarity
- Metastability
