Spectral properties of metastable Markov semigroups

DOI10.1016/0022-1236(83)90071-XzbMath0525.47030MaRDI QIDQ594371

E. Brian Davies

Publication date: 1983

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

pure point spectrumpositivity preserving semigroupapproximate degeneracy of the ground statehypercontractive semigroupsmetastable Markov semigroups

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Groups and semigroups of linear operators (47D03) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (8)

Unsharp quantum logics ⋮ Quantum MV algebras ⋮ Precise asymptotics of small eigenvalues of reversible diffusions in the metastable regime ⋮ Sharp tunneling estimates for a double-well model in infinite dimension ⋮ Structural isomers, double wells, resonances, and Dirichlet decoupling ⋮ Spectral characterization of aging: the REM-like trap model ⋮ Some new results on the two-dimensional kinetic Ising model in the phase coexistence region. ⋮ Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians

Cites Work

• Unnamed Item
• The twisting trick for double well Hamiltonians
• Regularity properties of Schrödinger and Dirichlet semigroups
• Double wells
• Dynamical stability of metastable states
• Schrödinger semigroups
• Metastable States of Symmetric Markov Semigroups II
• HYPERCONTRACTIVE AND RELATED BOUNDS FOR DOUBLE WELL SCHRÖDINGER HAMILTONIANS
• Logarithmic Sobolev Inequalities
• Sobolev Inequalities for Weight Spaces and Supercontractivity

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