the probable lack of some arcs and nodes in the stochastic networks is considered in this paper, and its effect is shown as the arrival probability from a given source node to a given sink node. a discrete time markov chain with an absorbing state is established in a directed acyclic network. then, the probability of transition from the initial state to the absorbing state is computed. it is as...

How and to what extent will new activities spread through social ties? Here, we develop a more sophisticated framework than the standard mean-field approach describe diffusion dynamics of multiple on complex networks. We show that follows saddle path can be highly unstable. In particular, when two are sufficiently substitutable, either them would dominate other by chance even if they equally at...

Unstable networks such as wireless mobile ad hoc networks (MANETs) are radically different from traditional fixed networks like the Internet. The success of these emerging networks is determined by the performance of the communication layers and the transport layer. For the latter, many protocols have been proposed based on adaptations of TCP for such unstable networks. In this paper, we claim ...

Stable power processes are never guaranteed. An assortment of unstable behaviors wrecks power apparatus, including mechanical vibration, malfunctioning control apparatus, unstable fluid flow, unstable boiling of liquids, or combinations thereof. A necessary condition for stable reactor power is that the reactor distortion accompanying a temperature rise decreases the reactivity, thus slowing an...