1202.3642 (Michael Aizenman et al.)

Absolutely continuous spectrum implies ballistic transport for quantum
particles in a random potential on tree graphs    [PDF]

Michael Aizenman, Simone Warzel

We discuss the dynamical implications of the recent proof that for a quantum
particle in a random potential on a regular tree graph absolutely continuous
spectrum occurs non-perturbatively through rare fluctuation-enabled resonances.
The main result is spelled in the title.

View original: http://arxiv.org/abs/1202.3642