Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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Description:: The study of high-dimensional measures is an integral part of probability, statistics and asymptotic convex geometry, where the object of interest is the normalized volume …
Year:: 2022
Contributor:: Liao, Yin-Ting (creator); Ramanan, Kavita (Advisor); Dupuis, Paul (Reader); Paouris, Grigoris (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Convex geometry; Probabilities
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: Rare events are ones which occur infrequently, sometimes with extremely small probability, but they may nevertheless affect pertinent properties of a system. Such rare events …
Year:: 2019
Contributor:: Snarski, Michael (creator); Dupuis, Paul (Advisor); Darbon, Jerome (Reader); Matzavinos, Anastasios (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Limit theorems (Probability theory); Large deviations; Probabilities
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: The first part of this thesis concerns conservation laws subject to random initial conditions. Using a discrete set of values for the solution, one can …
Year:: 2017
Contributor:: Caginalp, Carey (creator); Menon, Govind (Advisor); Dafermos, Constantine (Reader); Kaspar, David (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Differential equations, Partial; Stochastics; Probabilities
Collection:: Applied Mathematics; Theses and Dissertations

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