We develop a single two-layered model framework that captures and replicates both the
statistical properties of the network as well as those of the intrinsic quantities of the agents …

We revisit two basic Direct Simulation Monte Carlo Methods to model aggregation kinetics
and extend them for aggregation processes with collisional fragmentation (shattering). We …

Nonlinear transport has been observed in many real systems, such as international trade,
business transactions, human movement, and urban traffic. To understand the fundamental …

We report surprising steady oscillations in aggregation-fragmentation processes. Oscillating
solutions are observed for the class of aggregation kernels K i, j= i ν j μ+ j ν i μ …

Estimating the critical points at which complex systems abruptly flip from one state to another
is one of the remaining challenges in network science. Due to lack of knowledge about the …

We derive a stochastic function of risk propagation empirically from comprehensive data of
chain-reaction bankruptcy events in Japan from 2006 to 2015 over 5,000 pairs of firms. The …

We introduce a solvable model of randomly growing systems consisting of many
independent subunits. Scaling relations and growth rate distributions in the limit of infinite …

Co-evolution exhibited by a network system, involving the intricate interplay between the
dynamics of the network itself and the subsystems connected by it, is a key concept for …

To model volatile real-world network behavior, we analyze a phase-flipping dynamical scale-
free network in which nodes and links fail and recover. We investigate how stochasticity in a …

An overview of microsystems technology is presented along with a discussion of the recent
trends and challenges associated with its development. A typical bottom-up design …