In the US, people spend more than 90% of their time in buildings, which contributes to more
than 70% of overall electricity usage in the country. Occupant behavior is becoming a …

We study random walks with stochastic resetting to the initial position on arbitrary networks.
We obtain the stationary probability distribution as well as the mean and global first passage …

We study the diffusive transport of Markovian random walks on arbitrary networks with
stochastic resetting to multiple nodes. We deduce analytical expressions for the stationary …

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 analyze the massive data set of more than one billion taxi trips in New York City, from
January 2009 to December 2015. With these records of seven years, we generate an origin …

We survey the 'generalized fractional Poisson process'(GFPP). The GFPP is a renewal
process generalizing Laskin's fractional Poisson counting process and was first introduced …

We introduce a compartment model with memory for the dynamics of epidemic spreading in
a constant population of individuals. Each individual is in one of the states S= susceptible, I …

Understanding cab drivers' stay activities is essential for planning and managing certain
urban facilities. This study analyzes cab drivers' stay behaviors using a taxi GPS trajectory …

This book analyzes stochastic processes on networks and regular structures such as lattices
by employing the Markovian random walk approach. Part 1 is devoted to the study of local …

We analyze the dynamics of a population of independent random walkers on a graph and
develop a simple model of epidemic spreading. We assume that each walker visits …