Anderson–Bernoulli Localization at Large Disorder on the 2D Lattice

2022/03/18 by Linjun Li · 10 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Anderson impurity model #Anderson localization #Bernoulli distribution #Bernoulli's principle #Boundary value problem #Combinatorics #Dirichlet distribution #Eigenvalues and eigenvectors #Laplace operator #Lattice (music) #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #Random variable #Spectral Theory in Mathematical Physics

paper · doi:10.1007/s00220-022-04366-1

published in Communications in Mathematical Physics 393(1), 151-214 (Springer Science+Business Media)

openalex publication_date 2022/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Citations

• Anderson localization for Bernoulli and other singular potentials

Cited by

• Survey on Lattice Gas Models on 2D Lattices: Critical Behavior of Closed Trajectories
• Random Schrödinger operator with singular potentials
• Anderson-Bernoulli Localization on the 3D lattice and discrete unique continuation principle
• Discrete Unique Continuation on Simplex
• On the Manhattan pinball problem