RUB Research School

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Author
Name Schorlepp, Timo
Research field Rare events and instantons in complex stochastic systems
Career stage doctoral researcher
Home university/institution Ruhr-Universität Bochum (RUB)
Department/Research unit at home university/institution Physics and Astronomy
Chair/Working group at home institution Theoretical Physics I

International activity
Country United States
Location New York
University City University of New York; New York University
Fund Research School PR.INT
Type of activity research stay
Period starts 14-02-2022
ends 15-04-2022
Keywords Precise large deviations, instanton expansions, high-dimensional turbulent systems, semi-analytical approximations, functional determinants, numerical eigenvalue computations
Report The funding provided by the RUB Research School within the scope of a PR.INT project enabled me to spend a research stay of two months in New York. There, I worked with two collaborators at the CUNY Graduate Center and Courant Institute and was able to make significant progress on two separate research projects. The general topic of my research is to develop methods that allow for the accurate estimation of rare event probabilities in high-dimensional stochastic models by computing and expanding around so-called "instantons". In the first project, we studied analytical approximations for such instantons for the important example of the Burgers equation as a toy model for turbulence, and in the second project, we looked at numerical methods to compute functional determinants - which is necessary for more precise probability estimates once the instanton is known - in very high-dimensional systems, thereby allowing for the numerical application of the method to realistic flow models. The research stay has been highly beneficial for my PhD project and led to new contacts for possible collaborations in the future. Furthermore, I was able to attend lots of different seminar talks and workshops during the research stay and could present some of my work in group meetings.
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