Random walks are ubiquitous in the sciences, and they are interesting from both theoretical
and practical perspectives. They are one of the most fundamental types of stochastic …

The power of any kind of network approach lies in the ability to simplify a complex system so
that one can better understand its function as a whole. Sometimes it is beneficial, however …

A great variety of systems in nature, society and technology–from the web of sexual contacts
to the Internet, from the nervous system to power grids–can be modeled as graphs of …

Memory and planning rely on learning the structure of relationships among experiences.
Compact representations of these structures guide flexible behavior in humans and animals …

Temporal networks, ie, networks in which the interactions among a set of elementary units
change over time, can be modelled in terms of time-varying graphs, which are time-ordered …

A fundamental problem in the study of complex networks is to provide quantitative measures
of correlation and information flow between different parts of a system. To this end, several …

Numerous centrality measures have been developed to quantify the importances of nodes in
time-independent networks, and many of them can be expressed as the leading eigenvector …

The central nervous system is composed of many individual units–from cells to areas–that
are connected with one another in a complex pattern of functional interactions that supports …

Any physical system can be viewed from the perspective that information is implicitly
represented in its state. However, the quantification of this information when it comes to …

Natural products derived from microbes are crucial innovations that would help in reaching
sustainability development goals worldwide while achieving bioeconomic growth …