Miclo, LaurentIdRefORCIDORCID: https://orcid.org/0000-0001-5502-2862 (2025) On the Helmholtz decomposition for finite Markov processes. In: Séminaire de Probabilités LII: Lecture Notes in Mathematics Donati-Martin, CatherineIdRef, Lejay, AntoineIdRef and Rouault, AlainIdRef (eds.) Springer Cham. pp. 263-292. ISBN 978-3-031-86422-3

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Identification Number : 10.1007/978-3-031-86422-3_6

Abstract

Helmholtz decompositions break down any vector field into a sum of a gradient field and a divergence-free vector field. Such a result is extended to finite irreducible and reversible Markov processes, where vector fields correspond to anti-symmetric functions on the oriented edges of the underlying graph.

Item Type: Book Section
Language: English
Date: 11 March 2025
Subjects: B- ECONOMIE ET FINANCE
Divisions: TSE-R (Toulouse)
Site: UT1
Date Deposited: 04 Dec 2025 10:25
Last Modified: 04 Dec 2025 10:25
OAI Identifier: oai:tse-fr.eu:129041
URI: https://publications.ut-capitole.fr/id/eprint/48599

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