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math-phMay 5, 2021
10
citations (OpenAlex)
authors
  • Svetlana Jitomirskaya
  • Wencai Liu
institutions
  • University of California, Irvine
arXiv abstractPDF
paper

Upper bounds on transport exponents for long range operators

arXiv:2104.13145 · doi:10.1063/5.0054834

Abstract

We present a simple method, not based on the transfer matrices, to prove vanishing of dynamical transport exponents. The method is applied to long range quasiperiodic operators.

References in corpus (6)

  • Quantitative inductive estimates for Green's functions of non-self-adjoint matrices
  • Anderson localization for multi-frequency quasi-periodic operators on Zd
  • Upper bounds on wavepacket spreading for random Jacobi matrices
  • Universal reflective-hierarchical structure of quasiperiodic eigenfunctions and sharp spectral transition in phase
  • Dynamical bounds for quasiperiodic Schrödinger operators with rough potentials
  • Quantum dynamical bounds for ergodic potentials with underlying dynamics of zero topological entropy

Cited by in corpus (2)

  • Power law logarithmic bounds of moments for long range operators in arbitrary dimension
  • The curious spectra and dynamics of non-locally finite crystals
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