The discrete Laplacian of a 2-simplicial complex
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Publication:1662914
DOI10.1007/s11118-017-9659-1zbMath1395.05095arXiv1802.08422OpenAlexW4300799887MaRDI QIDQ1662914
Publication date: 20 August 2018
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.08422
Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Discrete version of topics in analysis (39A12) Distance in graphs (05C12) Connectivity (05C40) Combinatorial aspects of simplicial complexes (05E45) Infinite graphs (05C63)
Related Items (8)
Self-adjointness of perturbed bi-Laplacians on infinite graphs ⋮ The magnetic discrete Laplacian inferred from the Gauß-Bonnet operator and application ⋮ \(\ell^2\)-Betti numbers of random rooted simplicial complexes ⋮ Continuum limit for a discrete Hodge-Dirac operator on square lattices ⋮ Spectral gap of the discrete Laplacian on triangulations ⋮ The adjacency matrix and the discrete Laplacian acting on forms ⋮ The discrete Laplacian acting on 2-forms and application ⋮ Discrete Laplace operator of 3-cochains
Cites Work
- Essential self-adjointness for combinatorial Schrödinger operators. II. Metrically non complete graphs
- Laplacians of infinite graphs. I: Metrically complete graphs
- The Gauss-Bonnet operator of an infinite graph
- Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory
- A note on self-adjoint extensions of the Laplacian on weighted graphs
- Essential self-adjointness of powers of generators of hyperbolic equations
- Probability on Trees and Networks
- The problem of deficiency indices for discrete Schrödinger operators on locally finite graphs
- Hilbert Space Methods in the Theory of Harmonic Integrals
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