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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

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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)
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:
DateEvent
September 2018Submitted
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Publication Status: Unpublished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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