Eigenvalue Bounds on Restrictions of Reversible Nearly Uncoupled Markov Chains
Please always quote using this URN:urn:nbn:de:0296-matheon-106
- In this paper we analyze decompositions of reversible nearly uncoupled Markov chains into rapidly mixing subchains. We state upper bounds on the 2nd eigenvalue for restriction and stochastic complementation chains of reversible Markov chains, as well as a relation between them. We illustrate the obtained bounds analytically for bunkbed graphs, and furthermore apply them to restricted Markov chains that arise when analyzing conformation dynamics of a small biomolecule.
Author: | Eike Meerbach, Alexander Fischer, Christof Schütte |
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URN: | urn:nbn:de:0296-matheon-106 |
Referee: | Christof Schütte |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2003/12/13 |
Release Date: | 2003/12/12 |
Preprint Number: | 6 |