First-passage properties underlie a wide range of stochastic processes, such as diffusion-limited
growth, neuron firing, and the triggering of stock options. This book provides a unified …

Aimed at graduate students, this book explores some of the core phenomena in non-equilibrium
statistical physics. It focuses on the development and application of theoretical methods …

The first article published in the Physical Review was received in 1893; the journal’s first
volume included 6 issues and 24 articles. In the 20th century, the Physical Review branched …

The evolution of two species with different fitness is investigated on degree-heterogeneous
graphs. The population evolves either by one individual dying and being replaced by the …

Numerical data for the distribution of citations are examined for: (i) papers published in 1981
in journals which are catalogued by the Institute for Scientific Information (783,339 papers) …

We study the voter model on heterogeneous graphs. We exploit the nonconservation of the
magnetization to characterize how consensus is reached. For a network of N nodes with an …

A solution for the time-and age-dependent connectivity distribution of a growing random
network is presented. The network is built by adding sites that link to earlier sites with a …

The organizational development of growing random networks is investigated. These growing
networks are built by adding nodes successively, and linking each to an earlier node of …

We apply the Google PageRank algorithm to assess the relative importance of all publications
in the Physical Review family of journals from 1893 to 2003. While the Google number …

We introduce a two-state opinion dynamics model where agents evolve by majority rule. In
each update, a group of agents is specified whose members then all adopt the local majority …