We discuss d+1 dimensional percolation models with d dimensional
quasiperiodic disorder. A multiscale scheme is introduced which is suited
to the spatial structure of quasiperiodic disorder. In this case we will
show almost sure stretched exponential decay of correlations as compared
to faster than polynomial decay of correlations obtained for similar
models with random disorder. We mention in this case a disorder-rated
transition of phase structure.

Our main question is the p-adic meromorphic continuation of
the L-function attached to a p-adic character for the rational
function field over a finite field of characteristic p. In this talk,
I will explain a new and (hopefully) transparent approach to this
problem. (This is ongoing joint work with Chris Davis).