Large deviations of specific empirical fluxes of independent Markov chains, with implications for Macroscopic Fluctuation Theory
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2375 | |
dc.contributor.author | Renger, D.R. Michiel | |
dc.date.accessioned | 2017-04-13T11:51:31Z | |
dc.date.available | 2019-06-28T08:07:25Z | |
dc.date.issued | 2017 | |
dc.description.abstract | We consider a system of independent particles on a finite state space, and prove a dynamic large-deviation principle for the empirical measure-empirical flux pair, taking the specific fluxes rather than net fluxes into account. We prove the large deviations under deterministic initial conditions, and under random initial conditions satisfying a large-deviation principle. We then show how to use this result to generalise a number of principles from Macroscopic Fluctuation Theory to the finite-space setting. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/2586 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2500 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2375 | |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Empirical measure | eng |
dc.subject.other | empirical flux | eng |
dc.subject.other | discrete space | eng |
dc.subject.other | large deviations | eng |
dc.subject.other | macroscopic fluctuation theory | eng |
dc.title | Large deviations of specific empirical fluxes of independent Markov chains, with implications for Macroscopic Fluctuation Theory | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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