Decay of the Green's function of the fractional Anderson model and connection to long-range SAW
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Publication:6131237
DOI10.1007/s10955-024-03253-4arXiv2306.02860MaRDI QIDQ6131237
Roberto Maturana Escobar, Margherita Disertori, Constanza Rojas-Molina
Publication date: 4 April 2024
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.02860
Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Random linear operators (47B80) Fractional partial differential equations (35R11)
Cites Work
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- How large is large? Estimating the critical disorder for the Anderson model
- Ten equivalent definitions of the fractional Laplace operator
- Localization criteria for Anderson models on locally finite graphs
- Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions
- Recurrence and transience for long-range reversible random walks on a random point process
- Localization at large disorder and at extreme energies: an elementary derivation
- Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
- Critical exponents for long-range \(\mathrm O(n)\) models below the upper critical dimension
- A multi-scale analysis proof of the power-law localization for random operators on \(\mathbb{Z}^d\)
- Lifshitz tails for the fractional Anderson model
- Critical two-point functions for long-range statistical-mechanical models in high dimensions
- A Short Introduction to Anderson Localization
- An Invitation to Random Schroedinger operators
- Localization bounds for an electron gas
- LOCALIZATION FOR ONE DIMENSIONAL LONG RANGE RANDOM HAMILTONIANS
- Upper bounds on transport exponents for long-range operators
- Anomalous diffusion in one-dimensional disordered systems: a discrete fractional Laplacian method
- Classical Fourier Analysis
- Shnol’s theorem and the spectrum of long range operators
- Power law logarithmic bounds of moments for long range operators in arbitrary dimension
- Finite-volume fractional-moment criteria for Anderson localization
- Upper bounds on quantum dynamics in arbitrary dimension
- Localization for almost-periodic operators with power-law long-range hopping: a Nash-Moser iteration type reducibility approach