Taku Matsui
BEC of Free Bosons on Networks
(304K, pdf)

ABSTRACT.  We consider free Bosons hopping on a network(infinite graph). 
The condition for Bose-Einstein condensation is given in terms of the 
random walk on a graph. In case of periodic lattices, we also consider 
Boson moving in an external periodic potential and obatined the criterion 
for Bose-Einstein condensation.