Spectral asymptotics of the Laplacian on supercritical bond-percolation graphs
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Publication:2461238
DOI10.1016/j.jfa.2007.06.018zbMath1127.60090arXivmath-ph/0506053OpenAlexW2145923112MaRDI QIDQ2461238
Publication date: 27 November 2007
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0506053
Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Random linear operators (47B80) Boundary value problems on graphs and networks for ordinary differential equations (34B45)
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Cites Work
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- Spectral properties of the Laplacian on bond-percolation graphs
- Random walks on graphs with regular volume growth
- Laplacian matrices of graphs: A survey
- On-diagonal lower bounds for heat kernels and Markov chains
- Return probabilities of a simple random walk on percolation clusters
- Random walks on supercritical percolation clusters
- Ultracontractivity and Nash type inequalities
- Long-time tails in the parabolic Anderson model with bounded potential
- Isoperimetry and heat kernel decay on percolation clusters.
- Enlargement of obstacles for the simple random walk
- Lower bounds on \(\| K^ n \|_{1\to \infty}\) for some contractions \(K\) of \(L^ 2 (\mu)\), with applications to Markov operators
- Lifshitz asymptotics via linear coupling of disorder
- Lifshitz tails for spectra of Erdős-Rényi random graphs
- Percolation
- Large Deviations for Heat Kernels on Graphs
- Can One Hear the Shape of a Drum?
- Caught by disorder. Bound states in random media
- Higher eigenvalues and isoperimetric inequalities on Riemannian manifolds and graphs
- Manifolds and graphs with slow heat kernel decay
- New concentration inequalities in product spaces
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