If we consider the contact process with infection rate λ on a random graph on n vertices with
power law degree distributions, mean field calculations suggest that the critical value λ c of …

The human PXR (pregnane X receptor), a master regulator of drug metabolism, has essential
roles in intestinal homeostasis and abrogating inflammation. Existing PXR ligands have …

Although much of the focus of statistical works on networks has been on static networks,
multiple networks are currently becoming more common among network data sets. Usually, a …

Background and Aims Bacterial swarming, a collective movement on a surface, has rarely
been associated with human pathophysiology. This study aims to define a role for bacterial …

We consider a model of long‐range first‐passage percolation on the d‐dimensional square
lattice ℤd in which any two distinct vertices x,y ∊ ℤ d are connected by an edge having …

We introduce a new kind of percolation on finite graphs called jigsaw percolation. This
model attempts to capture networks of people who innovate by merging ideas and who solve …

Multilayer and multiplex networks are becoming common network data sets in recent times.
We consider the problem of identifying the common community structure for a special type of …

In high dimensional percolation at parameter p < p c \documentclass[12pt]{minimal} \usepackage{amsmath}
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We consider the offline change point detection and localization problem in the context of
piecewise stationary networks, where the observable is a finite sequence of networks. We …

We consider the discrete time threshold-θ contact process on a random r-regular graph. We
show that if θ≥2, r≥θ+2, ϵ 1 is small and p≥p 1 (ϵ 1 ), then starting from all vertices …