Amel Jadlaoui

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math.SP2025

Geometric Criteria for Essential Self-Adjointness of Discrete Hodge Laplacians on Weighted Simplicial Complexes

Marwa Ennaceur, Amel Jadlaoui

We develop a geometric framework for the essential self-adjointness (ESA) of discrete Hodge Laplacians on weighted simplicial complexes of arbitrary dimension. Three notions of $χ$ …

math.SP2025

Hodge Laplacians on Weighted Simplicial Complexes: Forms, Closures, and Bounded Realizations

Marwa Ennaceur, Amel Jadlaoui

We establish operator-norm bounds for discrete Hodge Laplacians on weighted flag complexes of a fixed dimension $n$ , whose $k$ -simplices are the $(k + 1)$ -cliques of a weighted graph…