Title: Small noise spectral analysis for a bistable system in large dimensions
Language: English
Authors: Brooks, Morris 
Qualification level: Diploma
Advisor: Beiglböck, Mathias 
Assisting Advisor: Di Gesu, Giacomo 
Issue Date: 2019
Number of Pages: 56
Qualification level: Diploma
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.
Keywords: Spectral Theory; Functional inequalities; Stochastic partial differential equations; Small noise asymptotics; Metastability
URI: https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:1-127956
Library ID: AC15448208
Organisation: E105 - Institut für Stochastik und Wirtschaftsmathematik 
Publication Type: Thesis
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