Gaps labeling theorem for the bubble-diamond self-similar graphs
DOI10.1088/1751-8121/ad03a4arXiv2204.11401OpenAlexW4387664369MaRDI QIDQ6059151
Unnamed Author, Alexander Teplyaev, Luke G. Rogers, Unnamed Author, Gamal Mograby
Publication date: 2 November 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.11401
singular continuous spectrumdiamond graphsself-similar graphsgap labeling theoremlocalization with pure point
Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) General topics in linear spectral theory for PDEs (35P05) Applications of branching processes (60J85) Singular functions, Cantor functions, functions with other special properties (26A30) Statistical mechanics of solids (82D20) Riemann surfaces; Weierstrass points; gap sequences (14H55) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Cites Work
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- Spectral analysis on infinite Sierpiński fractafolds
- Transformation of spectra of graph laplacians
- On eigenvalue problems for the random walks on the Sierpinski pre- gaskets
- On the viscous Burgers equation on metric graphs and fractals
- On a spectral analysis for the Sierpiński gasket.
- Weak uncertainty principles on fractals
- Diffusion on the scaling limit of the critical percolation cluster in the diamond hierarchical lattice
- Harmonic analysis on the Pascal graph
- An example of a Schrödinger equation with almost periodic potential and nowhere dense spectrum
- The one-dimensional Schrödinger equation with a quasiperiodic potential
- Spectral analysis on infinite Sierpiński gaskets
- Complex dynamics
- Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals
- Transition density estimates for Brownian motion on affine nested fractals
- Self-similarity, operators and dynamics
- Pure point spectrum for the Laplacian on unbounded nested fractals
- Explicit formulas for heat kernels on diamond fractals
- Pure point spectrum of the Laplacians on fractal graphs
- Spectral decimation for a graph-directed fractal pair
- Integrated density of states for Poisson-Schrödinger perturbations of subordinate Brownian motions on the Sierpiński gasket
- Criteria for spectral gaps of Laplacians on fractals
- Laplacians on fractals with spectral gaps have nicer Fourier series
- Disconnected Julia sets and gaps in the spectrum of Laplacians on symmetric finitely ramified fractals
- Invariant sets under iteration of rational functions
- Perfect quantum state transfer on diamond fractal graphs
- Poincaré Functional Equations, Harmonic Measures on Julia Sets, and Fractal Zeta Functions
- Singularly continuous spectrum of a self-similar Laplacian on the half-line
- Heat kernels and zeta functions on fractals
- Statistical Mechanics and Quantum Fields on Fractals
- Laplace operators on fractals and related functional equations
- Energy and Laplacian on Hanoi-type fractal quantum graphs
- Asymptotics of eigenvalue clusters for Schrödinger operators on the Sierpiński gasket
- Weak uncertainty principle for fractals, graphs and metric measure spaces
- Harmonic Coordinates on Fractals with Finitely Ramified Cell Structure
- VIBRATION SPECTRA OF FINITELY RAMIFIED, SYMMETRIC FRACTALS
- An Invitation to Random Schroedinger operators
- Laplacians on self-similar sets—analysis on fractals
- GAP LABELLING THEOREMS FOR ONE DIMENSIONAL DISCRETE SCHRÖDINGER OPERATORS
- A harmonic calculus on the Sierpinski spaces
- Fractals in the Large
- Localized Eigenfunctions of the Laplacian on p.c.f. Self-Similar Sets
- Fractafolds based on the Sierpinski gasket and their spectra
- Hamiltonian systems, Toda lattices, solitons, Lax pairs on weighted Z-graded graphs
- Fractal AC Circuits and Propagating Waves on Fractals
- Vibration modes of 3n-gaskets and other fractals
- Dynamics in One Complex Variable. (AM-160)
- Single Band Motion of Conduction Electrons in a Uniform Magnetic Field
- Spectra of perfect state transfer Hamiltonians on fractal-like graphs
- Spectral decimation of a self-similar version of almost Mathieu-type operators
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