Please use this identifier to cite or link to this item: http://arks.princeton.edu/ark:/88435/dsp01m326m191z
 Title: Coarse-Graining of an Agent-Based Swarming Model Using the Wavelet Earth Mover's Distance Authors: Iriza, Alexander Advisors: Kevrekidis, Yannis Contributors: Singer, Amit Department: Mathematics Class Year: 2014 Abstract: This thesis studies an agent-based swarming model that exhibits an interesting breakup phenomenon in a parameter regime at the boundary between two qualitative states. We discuss the Earth Mover’s Distance and the Wavelet Earth Mover’s Distance and provide proofs of two fundamental theorems regarding these topics, and we also discuss diffusion maps and Equation-Free modeling. We then use the above techniques to uncover a natural coarse reaction coordinate for the system and to develop a stochastic model of this coarse variable. This model allows us to understand the breakup phenomenon at the macroscopic level of the entire population Extent: 80 pages URI: http://arks.princeton.edu/ark:/88435/dsp01m326m191z Type of Material: Princeton University Senior Theses Language: en_US Appears in Collections: Mathematics, 1934-2016

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