Geometric Criteria for Essential Self-Adjointness of Discrete Hodge Laplacians on Weighted Simplicial Complexes
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918167751688192 |
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| author | Ennaceur, Marwa Jadlaoui, Amel |
| author_facet | Ennaceur, Marwa Jadlaoui, Amel |
| contents | 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 $χ$-completeness for simplicial complexes. Otherwise, we study essential self-adjointness from the $χ$-completeness geometric hypothesis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18661 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometric Criteria for Essential Self-Adjointness of Discrete Hodge Laplacians on Weighted Simplicial Complexes Ennaceur, Marwa Jadlaoui, Amel Spectral Theory Mathematical Physics Combinatorics Functional Analysis 81Q10, 47B25, 47A10, 05C63, 55U10 G.1.3; G.2.2; F.1.1 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 $χ$-completeness for simplicial complexes. Otherwise, we study essential self-adjointness from the $χ$-completeness geometric hypothesis. |
| title | Geometric Criteria for Essential Self-Adjointness of Discrete Hodge Laplacians on Weighted Simplicial Complexes |
| topic | Spectral Theory Mathematical Physics Combinatorics Functional Analysis 81Q10, 47B25, 47A10, 05C63, 55U10 G.1.3; G.2.2; F.1.1 |
| url | https://arxiv.org/abs/2510.18661 |