Browse Dissertations and Theses - Mathematics by Contributor "Zharnitsky, Vadim"

  • Kirkoryan, Artur (2018-12-06)
    This thesis consists of two parts. Each of them deals with problems in the design of linear time-invariant systems with certain prescribed properties, such as stability and cost optimality. The first part addresses ...

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  • Ferguson, Timothy (2018-04-13)
    We obtain results for two distinct dynamical models: the Kuramoto model, a general model for coupled oscillator systems, and a model for opinion formation in social networks. Our main focus is on understanding the fixed ...

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  • Berning, Stephen R (2015-07-16)
    We consider here an extension and generalization of the stochastic neuronal network model developed by DeVille et al.; their model corresponded to an all-to-all network of discretized integrate-and-fire excitatory neurons ...

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  • West, Argen McAllister (2018-07-10)
    We consider a generalization of the linear search problem where the searcher has low sensing capabilities on two rays. We first show the necessary conditions for an optimal search plan to exist. We then investigate ...

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  • Wang, Han (2015-01-21)
    The spaces of coverings (SoC) arise from various configuration spaces of the covering problems. We study the topology of these spaces for different domains and covering agents. In particular, we study the SoCs for grid ...

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  • Zheng, Zhi (2013-02-03)
    In this thesis we study the effect of stochastic perturbations on moving boundary value PDE's with Stefan boundary conditions, or Stefan problems, and show the existence and uniqueness of the solutions to a number of ...

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  • Vanderzee, Evan B. (2010-05-14)
    A well-centered simplex is a simplex whose circumcenter lies in its interior, and a well-centered mesh is a simplicial mesh in which every simplex is well-centered. We examine properties of the well-centered simplex and ...

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