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Grand Ensembles of deterministic operators. II. Localization for generic `haarsh' potentials by Chulaevsky, Victor is a scholarly article available to read on EtoBox.

What is Grand Ensembles of deterministic operators. II. Localization for generic `haarsh' potentials about?

We consider a particular class of lattice Schr\"odinger operators with deterministic potentials depending upon an infinite number of parameters in an auxiliary measurable space. We prove exponential dynamical localization for generic families in the strong disorder regime, using a variant of the Multi-Scale Analysis. In our model, the potential is generated by a function on a torus which is discontinuous (`haarsh') and constructed with the help of an expansion which reminds Haar's wavelet expansions.

Author

Chulaevsky, Victor

Published

2009

Language

EN