On the spectral density function of the Laplacian of a graph

DOI10.1016/j.exmath.2013.09.001zbMath1302.05105arXiv1205.2321OpenAlexW2964005521MaRDI QIDQ403223

Wolfgang Lück, Herbert Koch

Publication date: 29 August 2014

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2321

zbMATH Keywords

spectral densityfinite graphs\(L^2\)-torsionFuglede-Kadison determinants

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (1)

Survey on L2‐invariants and 3‐manifolds

Cites Work

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• \(L^ 2\)-topological invariants of 3-manifolds
• Minimum higher eigenvalues of Laplacians on graphs
• Isoperimetric properties of higher eigenvalues of elliptic operators
• The asymptotic growth of torsion homology for arithmetic groups
• Asymptotic Enumeration of Spanning Trees
• Dynamical systems of algebraic origin

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