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Integrable stochastic dynamics and Gelfand-Tsetlin patterns
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Assiotis, Theodoros (2018) Integrable stochastic dynamics and Gelfand-Tsetlin patterns. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b3366502~S1
Abstract
In this thesis we study several topics in Probability Theory and Mathematical Physics. These include interacting particle systems, random matrices, models of stochastic surface growth and branching graphs which are closely related to representation theory. The main common thread is that of stochastic dynamics with certain underlying integrable structure, which allows for many exact computations and explicit formulae
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Stochastic processes, Probabilities -- Mathematical models, Mathematical physics -- Mathematical models, Random matrice, Representations of groups | ||||
Official Date: | September 2018 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Warren, Jon|c(Reader in statistics), O'Connell, Neil | ||||
Sponsors: | Engineering and Physical Sciences Research Council | ||||
Extent: | vii, 225 leaves | ||||
Language: | eng |
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