Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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Description:: Interacting particle systems (IPS) are a class of pure jump stochastic processes used to model systems of individual entities, referred to as ``particles", that evolve …
Year:: 2025
Contributor:: Cocomello, Juniper Rosa (creator); Ramanan, Kavita (Advisor); Nguyen, Oanh (Reader); Geman, Stuart (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Stochastic processes; interacting particle systems; local-field equation
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: We begin by asking how to write down Brownian motion on certain quotient Riemannian manifolds. The projection formula for the Laplace-Beltrami operator through Riemannian submersions …
Year:: 2022
Contributor:: Huang, Ching-Peng (creator); Hassett, Brendan (Reader); Menon, Govind (Advisor); Darbon, Jérôme (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Stochastic processes; Geometry, Riemannian; Lie groups; control system; random matrix
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: Consider a (possibly non-Markovian) interacting particle system (IPS) indexed by the nodes of a (possibly random) locally finite graph whose vertices and edges are equipped …
Year:: 2022
Contributor:: Ganguly, Ankan (creator); Ramanan, Kavita (Advisor); Geman, Stuart (Reader); Durrett, Rick (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Stochastic processes; Markov random fields; Hydrodynamic limit; local weak convergence; interacting particle systems
Collection:: Applied Mathematics; Theses and Dissertations

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