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 introduce a general approach for the study of the collective dynamics of noninteracting
random walkers on connected networks. We analyze the movement of R independent …

We propose local-biased random walks on general networks where a Markovian walker is
defined by different types of biases in each node to establish transitions to its neighbors …

In this paper, we present two deterministic weighted scale-free networks controlled by a
weight parameter r (0< r≤ 1). One is fractal network, the other one is non-fractal network …

Deterministic network models have been attractive media for discussing dynamical
processes' dependence on network structural features. On the other hand, the heterogeneity …

In this paper, we present an overview of different types of random walk strategies with local
and non-local transitions on undirected connected networks. We present a general …

Intuitively, edge weight has an effect on the dynamical processes occurring on the networks.
However, the theoretical research on the effects of edge weight on network dynamics is still …

In this paper, we propose a family of weighted extended Koch networks based on a class of
extended Koch networks. They originate from ar-complete graph, and each node in each r …

A method to find the exact reaction rate density function of an A+ B→ 0 reaction on a finite
1D bar is derived. We consider the case where the A and B species diffuse at the same rate …

Pair-annihilation process models capture the behaviour of important reactions amongst
fundamental physical but also chemical systems. We develop a lattice-based …