Titolo:
Mixed phase transitions and localization effects in disordered systems
with finite connectivity.
Disordered systems on random but finite-connectivity
lattices have not been much studied so far, with respect to
their infinite-connectivity counterpart. In this talk,
we shall show how some technical difficulties arising
in the study of such models may be handled using
generating function techniques and review two
applications:
The random 2+p-SAT model, issued from computer science
and the existence of unusual mixed phase transitions
with non trivial power laws.
The diffusion on a random graph, and the relevance of
topological defects on the localization of eigenstates.
In collaboration with :
G. Biroli, D. Dean, R. Zecchina.