Essays about: "Persistent Laplacian"
Found 2 essays containing the words Persistent Laplacian.
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1. Properties of Discrete Laplacians With Application on Brain Networks
University essay from KTH/Matematisk statistikAbstract : This thesis investigates three discrete Laplace operators: the graph Laplacian, combinatorial Laplacian, and the more recently introduced persistent Laplacian. We discuss how these operators relate to each other and study their spectral properties. The graph Laplacian is a well-studied operator that plays a central role in spectral graph theory. READ MORE
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2. The Price of Synchrony:Evaluating Transient Power Losses inRenewable Energy IntegratedPower Networks
University essay from KTH/ReglerteknikAbstract : This thesis investigates the resistive losses incurred in returning a power network to a synchronous state following a transient stability event, or in maintaining this state in the presence of persistent stochastic disturbances. We quantify these transient power losses, the so-called “Price of Synchrony”, using the squared H2 norm of a linear system of generator and load dynamics subject to distributed disturbances. READ MORE