Smartphones are pervasively used in society, and have been both the target and victim of
malware writers. Motivated by the significant threat that presents to legitimate users, we …

Long-memory, or more generally fractal, processes are known to play an important role in
many scientific disciplines and applied fields such as physics, geophysics, hydrology …

Infectious disease incidence data are increasingly available at the level of the individual and
include high-resolution spatial components. Therefore, we are now better able to challenge …

Percolation theory is most commonly associated with the slow flow of liquid through a
porous medium, with applications to the physical sciences. Epidemiological applications …

We formulate and study a model for inhomogeneous long-range percolation on Zd. Each
vertex x∈ Zd is assigned a non-negative weight Wx, where (Wx) x∈ Zd are iid random …

The basic reproduction number R0 is one of the most important quantities in epidemiology.
However, for epidemic models with explicit social structure involving small mixing units such …

Background Complex biological systems are often modeled as networks of interacting units.
Networks of biochemical interactions among proteins, epidemiological contacts among …

One way to describe the spread of an infection on a network is by approximating the network
by a random graph. However, the usual way of constructing a random graph does not give …

We study the propagation of susceptible-infectious-recovered (SIR) disease on random
networks with spatial structure. We consider random spatial networks (RSNs) with …

We study long-range Bernoulli percolation on Z^ d Z d in which each two vertices x and y are
connected by an edge with probability 1-\exp (-β ‖ xy ‖^-d-α) 1-exp (-β‖ xy‖-d-α). It is a …