The infinite discrete stable Boltzmann maps are generalisations of the
well-known uniform infinite planar quadrangulation in the case where
large degree faces are allowed. We show that the simple random walk
on these random lattices is always subdiffusive with exponent less than
. Our
method is based on stationarity and geometric estimates obtained via the peeling
process which are of individual interest.
Keywords
random maps, random walk, subdiffusivity, anomalous
diffusion, peeling