F. Germinet
Quantum Dynamics and generalized fractal dimensions: an introduction
(479K, .ps)

ABSTRACT.  We review some recent results on quantum motion analysis, 
and in particular lower bounds for moments in quantum dynamics. 
The goal of the present exposition is to stress the role played 
by quantities we shall call \emph{Transport Integrals} and by 
the so called \emph{generalized dimensions} of the spectral 
measure in the analysis of quantum motion. We start with very 
simple derivations that illustrate how these quantities naturally 
enter the game. Then, gradually, we present successive improvements, 
up to most recent result.