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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 …
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 , whose -simplices are the -cliques of a weighted graph…
math-ph2025
Limiting absorption principle for long-range perturbation in a graphene setting
Nassim Athmouni, Marwa Ennaceur, Sylvain Golenia +1
In this paper, we examine the discrete Laplacian acting on a hexagonal lattice by introducing long-range modifications in both the metric and the potential. Our objective is to est…