Spectral fluctuations for the multi-dimensional Anderson model

DOI10.4171/JST/412zbMath1504.82022arXiv2010.08972OpenAlexW3093295449MaRDI QIDQ2080321

Yoel Grinshpon, Moshe J. White

Publication date: 7 October 2022

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.08972

zbMATH Keywords

central limit theoremeigenvalue fluctuationsweakly dependentSchrödingerCLTpath countingAnderson

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Schrödinger operator, Schrödinger equation (35J10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Random matrices (algebraic aspects) (15B52) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (1)

Limit theorems on the mesoscopic scale for the Anderson model

Cites Work

• Unnamed Item
• The local structure of the spectrum of the one-dimensional Schrödinger operator
• Local fluctuation of the spectrum of a multidimensional Anderson tight binding model
• Spectral fluctuations for Schrödinger operators with a random decaying potential
• The central limit theorem for dependent random variables
• Szego-Type Theorems for One-Dimensional Schrodinger Operator with Random Potential (Smooth Case)
• On the analogues of Szegő's theorem for ergodic operators
• A central limit theorem for triangular arrays of weakly dependent random variables, with applications in statistics

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