Stable and scalable computation of state visitation probabilities in finite Markov chains.


Journal

The Journal of chemical physics
ISSN: 1089-7690
Titre abrégé: J Chem Phys
Pays: United States
ID NLM: 0375360

Informations de publication

Date de publication:
07 Jun 2023
Historique:
received: 15 04 2023
accepted: 17 05 2023
medline: 5 6 2023
pubmed: 5 6 2023
entrez: 5 6 2023
Statut: ppublish

Résumé

We report an algorithm based on renormalization to compute the probability that a particular state, or set thereof, is visited along the first passage or transition paths between two endpoint states of a finite Markov chain. The procedure is numerically stable and does not require dense storage of the transition matrix.

Identifiants

pubmed: 37272567
pii: 2894408
doi: 10.1063/5.0154772
pii:
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Informations de copyright

© 2023 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).

Auteurs

Daniel J Sharpe (DJ)

Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom.

David J Wales (DJ)

Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom.

Classifications MeSH