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Metastable States of Symmetric Markov Semigroups II
Author(s) -
Davies E. B.
Publication year - 1982
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-26.3.541
Subject(s) - metastability , semigroup , degenerate energy levels , markov chain , mathematics , generator (circuit theory) , pure mathematics , ground state , markov process , state (computer science) , state space , physics , quantum mechanics , algorithm , statistics , power (physics)
We show that if the ground state of the generator of a symmetric Markov semigroup is nearly n ‐fold degenerate, then its configuration space may be divided into n metastable regions. We also provide much sharper estimates for the case when n = 2, which was treated in the first paper.