Metastable States of Symmetric Markov Semigroups I

DOI10.1112/plms/s3-45.1.133zbMath0498.47017OpenAlexW2115961344MaRDI QIDQ3963588

E. Brian Davies

Publication date: 1982

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-45.1.133

zbMATH Keywords

generatoreigenvaluesnear degeneracymetastable regionsymmetric Markov semigroupdensity of a metastable statenon-negative selfadjoint operatorrelations between different notions of metastability

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Groups and semigroups of linear operators (47D03)

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Overcoming the timescale barrier in molecular dynamics: Transfer operators, variational principles and machine learning ⋮ A geometric heat-flow theory of Lagrangian coherent structures ⋮ The weak coupling limit as a quantum functional central limit ⋮ Dynamical stability of metastable states ⋮ Metastability and the Ising model ⋮ Metastability in reversible diffusion processes. II: Precise asymptotics for small eigenvalues ⋮ Precise asymptotics of small eigenvalues of reversible diffusions in the metastable regime ⋮ Sharp asymptotics of the first exit point density ⋮ Towards effective dynamics in complex systems by Markov kernel approximation ⋮ Bistable stochastic biochemical networks: large chemical networks and systems with many molecules ⋮ ON MARKOV CHAINS AND THE SPECTRA OF THE CORRESPONDING FROBENIUS–PERRON OPERATORS ⋮ Spectral characterization of aging: the REM-like trap model

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