Stochastic Analysis: Incompressible Viscous Fluids & SPDEs on Graphs

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Explores expanders, Ramanujan graphs, eigenvalues, Laplacian matrices, and spectral properties.

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Explores fundamental graph theory concepts, Erdős' results, Chromatic Lemma, and Union Bound theorem in graph theory.

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Explores the convergence of random walks on graphs and the properties of weighted adjacency matrices.

Explores the construction of Ramanujan graphs using polynomials and addresses challenges with the probabilistic method.

Explores integrating brain connectivity to decode and interpret brain activity using graph signal processing and spectral residual networks.

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