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math-ph2020★ 9 cited
One-dimensional Discrete Dirac Operators in a Decaying Random Potential I: Spectrum and Dynamics
Olivier Bourget, Gregorio R. Moreno Flores, Amal Taarabt
We study the spectrum and dynamics of a one-dimensional discrete Dirac operator in a random potential obtained by damping an i.i.d. environment with an envelope of type fo…
math-ph2020★ 4 cited
Dynamical Localization for the One-dimensional Continuum Anderson Model in a Decaying Random Potential
Olivier Bourget, Gregorio R. Moreno Flores, Amal Taarabt
We consider a one-dimensional continuum Anderson model where the potential decays in average like , . We show dynamical localization for and provide co…