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 …

Experimental econophysics is concerned with statistical physics of humans in the laboratory,
and it is based on controlled human experiments developed by physicists to study some …

In this article, we present a survey of different types of random walk models with local and
non-local transitions on undirected weighted networks. We present a general approach by …

We consider degree-biased random walkers whose probability to move from a node to one
of its neighbors of degree k is proportional to k α, where α is a tuning parameter. We study …

We introduce a formalism of fractional diffusion on networks based on a fractional Laplacian
matrix that can be constructed directly from the eigenvalues and eigenvectors of the …

There is a burst of work on human mobility and encounter networks. However, the
connection between these two important fields just begun recently. It is clear that both are …

Efficient techniques to navigate networks with local information are fundamental to sample
large-scale online social systems and to retrieve resources in peer-to-peer systems. Biased …

We study discrete-time random walks on networks subject to a time-dependent stochastic
resetting, where the walker either hops randomly between neighboring nodes with a …

We introduce a heterogeneous continuous-time random walk (HCTRW) model as a versatile
analytical formalism for studying and modeling diffusion processes in heterogeneous …

In the present work, we study random walks on complex networks subject to stochastic
resetting when the resetting probability is node-dependent. Using a renewal approach, we …