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Showing 1 to 2 of 2 for “"Hodge theorem"”.
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Extension of the Hodge theorem to certain non-compact manifolds
We prove an analogue of the Hodge cohomology theorem for a certain class of non-compact manifolds. Specifically, let M be a compact manifold with boundary OM, and let g be a metric on Int(M). Assume that there exists a collar neighborhood of the boundary ... We then describe doubly weighted Sobolev …
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Non-Commutative Probability for the Spectral Analysis of Simplicial Complexes
Free probability theory, invented by Voiculescu, and greatly expanded by Speicher, is a young and active area of research with numerous applications in pure and applied mathematics. This Master thesis is a comprehensive study of a specific result in the recent preprint by C. Vargas, in which Vargas …