J.E. Avron, A. Elgart, G.M. Graf and L. Sadun
Geometry, Statistics and Asymptotics of Quantum Pumps
(25K, LaTeX2e with RevTeX)

ABSTRACT.  We give a pedestrian interpretation of a formula of Buttiker 
et.al. (BPT) relating the adiabatically pumped current to the 
S matrix and its (time) derivatives. We describe the geometric 
content of BPT and of the corresponding Brouwer pumping formula. 
As applications we derive explicit formulas for the joint 
probability density of pumping and conductance in the context of 
random matrix theory, and derive an asymptotic formula for hard 
pumping in case that the S matrix is periodic in the driving 
parameters.