In the last two decades, network science has blossomed and influenced various fields, such
as statistical physics, computer science, biology and sociology, from the perspective of the …

Percolation is the paradigm for random connectivity and has been one of the most applied
statistical models. With simple geometrical rules a transition is obtained which is related to …

Nearly all high–energy density cathodes for rechargeable lithium batteries are well-ordered
materials in which lithium and other cations occupy distinct sites. Cation-disordered …

Recent work on the Internet, social networks, and the power grid has addressed the
resilience of these networks to either random or targeted deletion of network nodes or links …

Using computer databases of scientific papers in physics, biomedical research, and
computer science, we have constructed networks of collaboration between scientists in each …

A unifying theory is presented to explain the lithium exchange capacity of rocksalt‐like
structures with any degree of cation ordering, and how lithium percolation properties can be …

Percolation theory was initiated some fifty years ago as a mathematical framework for the
study of random physical processes such as flow through a disordered porous medium. It …

We describe in detail an efficient algorithm for studying site or bond percolation on any
lattice. The algorithm can measure an observable quantity in a percolation system for all …

This book provides a challenging and stimulating introduction to the contemporary topics of
complexity and criticality, and explores their common basis of scale invariance, a central …

Using data from computer databases of scientific papers in physics, biomedical research,
and computer science, we have constructed networks of collaboration between scientists in …