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Brownian motions in random environments
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Brockington, Dominic (2021) Brownian motions in random environments. PhD thesis, University of Warwick.
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WRAP_Theses_Brockington_2021.pdf - Unspecified Version - Requires a PDF viewer. Download (1348Kb) | Preview |
Official URL: http://webcat.warwick.ac.uk/record=b3781714
Abstract
In this thesis, we focus on continuum versions of random walks in random environments in one spatial dimension; these can be thought of as modelling the trajectory of a particle in a turbulent fluid. We study the density of a cloud of particles all moving through the same environment. In Section 1.1, we review random walks in random environments; in the following sections, we discuss their continuum counterparts and our results for them.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Brownian movements, Random walks (Mathematics), White noise theory, Bethe-ansatz technique | ||||
Official Date: | September 2021 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Warren, Jon (Reader in statistics) | ||||
Format of File: | |||||
Extent: | vi, 128 leaves | ||||
Language: | eng |
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