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    Numerical Estimation of Several Topological Quantities of the First Passage Percolation Model

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    MA-THESIS-2021.pdf (993.5Kb)
    Yuanzhe code 2021.zip (10.45Kb)
    Date
    2021-04-13
    Author
    Ma, Yuanzhe
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    Abstract
    In this thesis, our main goal is to use numerical simulations to study some quantities related to the growing set B(t). Motivated by prior works, we mainly study quantities including the boundary size, the hole size, and the location of each hole for B(t). We discuss the theoretical background of this work, the algorithm we used to conduct simulations, and include an extensive discussion of our simulation results. Our results support some of the prior conjectures and further introduce several interesting open problems.
    URI
    http://hdl.handle.net/1853/64671
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    • Georgia Tech Theses and Dissertations [23403]
    • School of Mathematics Theses and Dissertations [424]

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