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Topics in Spectral Geometry Rebecca K. Wright the role film played inIt is remarkable that various distinct physical phenomena, such as wave propagation, heat diffusion, electron movement in quantum mechanics, oscillations of fluid in a container, can be described using the same differential operator, the Laplacian. Spectral data (i. e., eigenvalues and eigenfunctions) of the Laplacian depend in a subtle way on the geometry of the underlying object, e. g., a Euclidean domain or a Riemannian manifold, on which the