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Geometric properties of random walk loop soups
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Vogel, Quirin (2020) Geometric properties of random walk loop soups. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b3598108
Abstract
In this thesis the author examines geometric properties of (Poisson) loop soups generated from loop measures with varying weights. The framework incorporates the Markovian loop measure, see [LJ11], as well as the Bosonic loop measure, see [AV20]. The author characterises certain geometric features of the loop soup, such as its percolative properties and correlation structure.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Random walks (Mathematics), Poisson processes, Loop spaces | ||||
Official Date: | June 2020 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Adams, Stefan ; Wu, Wei | ||||
Sponsors: | Engineering and Physical Sciences Research Council | ||||
Format of File: | |||||
Extent: | xi, 174 leaves : illustrations | ||||
Language: | eng |
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