Percolation Hamiltonians
From MaRDI portal
Publication:5198983
DOI10.1007/978-3-0346-0244-0_13zbMath1225.05220arXiv1002.5000OpenAlexW3037103206MaRDI QIDQ5198983
No author found.
Publication date: 10 August 2011
Published in: Random Walks, Boundaries and Spectra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1002.5000
Random graphs (graph-theoretic aspects) (05C80) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Percolation (82B43)
Related Items
Possible energy spectra of systems constructed from finite Bethe lattices, Landscape approximation of the ground state eigenvalue for graphs and random hopping models, Lifshits tails in the hierarchical Anderson model, Absolutely continuous spectrum for multi-type Galton-Watson trees
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bounds for the annealed return probability on large finite percolation graphs
- Equality of Lifshitz and van Hove exponents on amenable Cayley graphs
- Gromov's theorem on groups of polynomial growth and elementary logic
- Spectral properties of the Laplacian on bond-percolation graphs
- Continuity of eigenfunctions of uniquely ergodic dynamical systems and intensity of Bragg peaks
- Percolation theory and some applications
- Uniform existence of the integrated density of states for models on \({\mathbb{Z}}^d\)
- Hamiltonians on discrete structures: jumps of the integrated density of states and uniform convergence
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- Von Neumann spectra near zero
- Analyticity of the density of states in the Anderson model on the Bethe lattice
- Approximating spectral invariants of Harper operators on graphs
- Pointwise theorems for amenable groups.
- Return probabilities of a simple random walk on percolation clusters
- Random walks on supercritical percolation clusters
- Spectral analysis of percolation Hamiltonians
- Sharpness of the phase transition in percolation models
- 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
- An interlacing technique for spectra of random walks and its application to finite percolation clusters
- Spectral asymptotics of the Laplacian on supercritical bond-percolation graphs
- Sharpness of the phase transition and exponential decay of the subcritical cluster size for percolation on quasi-transitive graphs
- Lifshitz tails for spectra of Erdős-Rényi random graphs
- Random walk on the incipient infinite cluster on trees
- Percolation on Penrose Tilings
- Percolation
- Approximating L2‐invariants and the Atiyah conjecture
- The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups
- Statistical theory of superlattices
- Caught by disorder. Bound states in random media
- The birth of the infinite cluster: Finite-size scaling in percolation