Landscape approximation of the ground state eigenvalue for graphs and random hopping models
From MaRDI portal
Publication:6119954
DOI10.1016/j.jfa.2024.110339arXiv2212.07589WikidataQ129276405 ScholiaQ129276405MaRDI QIDQ6119954
Shiwen Zhang, Wei Wang, Laura H. Shou
Publication date: 20 February 2024
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.07589
Spectral theory and eigenvalue problems for partial differential equations (35P99) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ground state energy of the one-dimensional discrete random Schrödinger operator with Bernoulli potential
- Gaussian estimates for Markov chains and random walks on groups
- The landscape law for the integrated density of states
- Upper bounds for symmetric Markov transition functions
- Brownian motion on the Sierpinski gasket
- Localization at large disorder and at extreme energies: an elementary derivation
- Discrete Green's functions
- Long-time tails in the parabolic Anderson model with bounded potential
- Localization of electromagnetic and acoustic waves in random media. Lattice models
- The exponential decay of eigenfunctions for tight-binding Hamiltonians via landscape and dual landscape functions
- Analysis on fractal spaces and heat kernels
- The landscape law for tight binding Hamiltonians
- \(L_\infty\)-estimates for the torsion function and \(L_{\infty}\)-growth of semigroups satisfying Gaussian bounds
- Random Walks and Heat Kernels on Graphs
- Principal eigenvalue estimates via the supremum of torsion
- The Longest Run of Heads
- Torsional Rigidity and Expected Lifetime of Brownian Motion
- Continuity of Solutions of Parabolic and Elliptic Equations
- An Invitation to Random Schroedinger operators
- Explicit Constants for Gaussian Upper Bounds on Heat Kernels
- Large Deviations for Heat Kernels on Graphs
- Computing Spectra without Solving Eigenvalue Problems
- A note on Anderson localization for the random hopping model
- Random Walks on Infinite Graphs and Groups
- The effective potential of an M-matrix
- Percolation Hamiltonians
- Localization of eigenfunctions via an effective potential
- TORSIONAL RIGIDITY OF MINIMAL SUBMANIFOLDS
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
- The Dynamics of a Disordered Linear Chain
- Hardy inequality and L p estimates for the torsion function
- Approximating the ground state eigenvalue via the effective potential
- Principal eigenvalue for the random walk among random traps on \({\mathbb{Z}}^{d}\)
- Principal eigenvalue and landscape function of the Anderson model on a large box
