Towards rigorous analysis of the Levitov–Mirlin–Evers recursion

DOI10.1088/0951-7715/29/12/3871zbMath1357.60091arXiv1509.01366OpenAlexW2227009090MaRDI QIDQ2958859

Christian Webb, Yan. V. Fyodorov, Antti Kupiainen

Publication date: 3 February 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01366

zbMATH Keywords

asymptotic analysismultifractalitybranching random walkLevitov-Mirlin-Evers recursionpower-law random band matrix

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random matrices (algebraic aspects) (15B52) Self-similar stochastic processes (60G18) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (4)

Renormalization group analysis of the hierarchical Anderson model ⋮ Multifractality of eigenstates in the delocalized non-ergodic phase of some random matrix models: Wigner–Weisskopf approach ⋮ Statistical properties of the Green function in finite size for Anderson localization models with multifractal eigenvectors ⋮ MULTIFRACTALITY IN THE GENERALIZED AUBRY–ANDRÉ QUASIPERIODIC LOCALIZATION MODEL WITH POWER-LAW HOPPINGS OR POWER-LAW FOURIER COEFFICIENTS

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