This paper reviews recent advances in continuous-time quantum walks (CTQW) and their
application to transport in various systems. The introduction gives a brief survey of the …

A fundamental and long-standing problem in polymer physics is to deduce the relationship
between the topology of a polymer and its dynamics. Generalized Gaussian structures …

This essay is presented with two principal objectives in mind: first, to document the
prevalence of fractals at all levels of the nervous system, giving credence to the notion of …

We study continuous-time quantum walks mimicking the quantum search based on Grover's
procedure. This allows us to consider structures, that is, databases, with arbitrary topological …

Most networks and databases that humans have to deal with contain large, albeit finite
number of units. Their structure, for maintaining functional consistency of the components, is …

In this paper we study the existing observation in literature about synchronization of a large
number of coupled maps with random nonlocal connectivity [Chate and Manneville, Chaos …

The eigenvalues of the normalized Laplacian matrix of a network play an important role in its
structural and dynamical aspects associated with the network. In this paper, we study the …

A central issue in the study of polymer physics is to understand the relation between the
geometrical properties of macromolecules and various dynamics, most of which are …

We study quantum transport on finite discrete structures and we model the process by
means of continuous-time quantum walks. A direct and effective comparison between …

One of the most crucial domains of interdisciplinary research is the relationship between the
dynamics and structural characteristics. In this paper, we introduce a family of small-world …