  Will a new smartphone application diffuse deeply in the population or will it
sink into oblivion soon? To predict this, we argue that common models of spread
of innovations based on cascade dynamics or epidemics may not be fully
adequate. Therefore we propose a novel stochastic network dynamics modeling the
spread of a new technological asset, whose adoption is based on the
word-of-mouth and the persuasion strength increases the more the product is
diffused. In this paper we carry on an analysis on large scale graphs to show
off how the parameters of the model, the topology of the graph and, possibly,
the initial diffusion of the asset, determine whether the spread of the asset
is successful or not. In particular, by means of stochastic dominations and
deterministic approximations, we provide some general results for a large class
of expansive graphs. Finally we present numerical simulations trying to expand
the analytical results we proved to even more general topologies.
