Geometric Criteria for Essential Self-Adjointness of Discrete Hodge Laplacians on Weighted Simplicial Complexes
Abstract
In this paper, we define the structure of n-simplicial complex, we consider generalizations of the Laplacians to simplicial complexes of higher dimension and we develop the notion of -completeness for simplicial complexes. Otherwise, we study essential self-adjointness from the -completeness geometric hypothesis.
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