A variational approach to Gibbs measures on function spaces
A variational approach to Gibbs measures on function spaces
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DissertationDate of Exam
25.03.2021Date of Publication
18.03.2022Advisor
Gubinelli, MassimilianoCo-Referee
Albeverio, SergioMetadata
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Abstract
We study develop a variational technique to study models from constructive quantum field theory. Our starting point is the interpretation of the Polchinski equation as the Hamilton-Jacobi-Bellman equation of a stochastic control problem. Using this technique we are able to show ultraviolet stability for certain models as well as decay of correlations and derive a large deviations principle in the semi-classical limit.
Subjects
Konstruktive Feld Theorie, Stochastische Controlle, Renormalisierung
Classification (DDC)
510 MathematikBarashkov, Nikolay: A variational approach to Gibbs measures on function spaces. - Bonn, 2022. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5-65124
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5-65124
@phdthesis{handle:20.500.11811/9684,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5-65124,
author = {{Nikolay Barashkov}},
title = {A variational approach to Gibbs measures on function spaces},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2022,
month = mar,
note = {We study develop a variational technique to study models from constructive quantum field theory. Our starting point is the interpretation of the Polchinski equation as the Hamilton-Jacobi-Bellman equation of a stochastic control problem. Using this technique we are able to show ultraviolet stability for certain models as well as decay of correlations and derive a large deviations principle in the semi-classical limit.},
url = {https://hdl.handle.net/20.500.11811/9684}
}
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5-65124,
author = {{Nikolay Barashkov}},
title = {A variational approach to Gibbs measures on function spaces},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2022,
month = mar,
note = {We study develop a variational technique to study models from constructive quantum field theory. Our starting point is the interpretation of the Polchinski equation as the Hamilton-Jacobi-Bellman equation of a stochastic control problem. Using this technique we are able to show ultraviolet stability for certain models as well as decay of correlations and derive a large deviations principle in the semi-classical limit.},
url = {https://hdl.handle.net/20.500.11811/9684}
}
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