<div class="csl-bib-body">
<div class="csl-entry">Brooks, M. (2019). <i>Small noise spectral analysis for a bistable system in large dimensions</i> [Diploma Thesis, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2019.67982</div>
</div>
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dc.identifier.uri
https://doi.org/10.34726/hss.2019.67982
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/8628
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dc.description.abstract
In this thesis, I am studying the convergence rate to equilibrium of the stochastic Allen-Cahn equation, in the limit of vanishing noise. This convergence rate can be quantified by the spectral gap of the associated diffusion operator. It will be our primary goal, to compute the asymptotic behaviour of the spectral gap for the discretized version of the Allen-Cahn equation, with error terms uniformly controlled in the parameter N of the discrete model.
en
dc.language
English
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dc.language.iso
en
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dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
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dc.subject
Spectral Theory
en
dc.subject
Functional inequalities
en
dc.subject
Stochastic partial differential equations
en
dc.subject
Small noise asymptotics
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dc.subject
Metastability
en
dc.title
Small noise spectral analysis for a bistable system in large dimensions
en
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.rights.license
In Copyright
en
dc.rights.license
Urheberrechtsschutz
de
dc.identifier.doi
10.34726/hss.2019.67982
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dc.contributor.affiliation
TU Wien, Österreich
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dc.rights.holder
Morris Brooks
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dc.publisher.place
Wien
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tuw.version
vor
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tuw.thesisinformation
Technische Universität Wien
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dc.contributor.assistant
Di Gesu, Giacomo
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tuw.publication.orgunit
E105 - Institut für Stochastik und Wirtschaftsmathematik
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dc.type.qualificationlevel
Diploma
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dc.identifier.libraryid
AC15448208
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dc.description.numberOfPages
56
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dc.identifier.urn
urn:nbn:at:at-ubtuw:1-127956
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dc.thesistype
Diplomarbeit
de
dc.thesistype
Diploma Thesis
en
dc.rights.identifier
In Copyright
en
dc.rights.identifier
Urheberrechtsschutz
de
tuw.advisor.staffStatus
staff
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tuw.assistant.staffStatus
staff
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item.languageiso639-1
en
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item.openairetype
master thesis
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item.grantfulltext
open
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item.fulltext
with Fulltext
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item.cerifentitytype
Publications
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item.mimetype
application/pdf
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item.openairecristype
http://purl.org/coar/resource_type/c_bdcc
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item.openaccessfulltext
Open Access
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crisitem.author.dept
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
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crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
