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Schrödinger Equation with Geometric Constraints and Position-Dependent Mass

We investigate the solutions of the Schrödinger equation in the presence of geometric constraints represented by a backbone structure and by taking into account a position-dependent effective mass. The new solutions are obtained by using Green’s …

Invasive alien species records are exponentially rising across the Earth

Humans are facilitating the introduction and range expansion of invasive alien species (IAS), which have negatively impacted ecological and socio-economic systems worldwide. Understanding the global diffusion of IAS is important for developing …

The Physics of Cities

The word "physics" can be understood in at least two ways. First, based on the Greek origin of the word, physics means nature. Accordingly, when we state our intention to understand the physics of a phenomenon, we want to know how and why it behaves …

Characterizing postural sway signals by the analysis of zero-crossing patterns

Center of pressure (COP) signals have been widely used to investigate various aspects of human balance during quiet standing. Here, we compute a set of measures - including burstiness, memory and local variation - to quantify temporal patterns in COP …

On the dynamics of reporting data: A case study of UFO sightings

There are a growing number of large databases online. In this study, we used data from 80,332 cases of UFO sightings reported from 1906 to 2014 as a tool for investigating the human behavior in reporting events and how a time lag influences the …

Popularity of Video Games and Collective Memory

Describing the permanence of cultural objects is an important step in understanding societal trends. A relatively novel cultural object is the video game, which is an interactive media, that is, the player is an active contributor to the overall …

Clustering free-falling paper motion with complexity and entropy

Many simple natural phenomena are characterized by complex motion that appears random at first glance, but that often displays underlying patterns and behavior that can be clustered in groups. The movement of small pieces of paper falling through the …

Universality of political corruption networks

Corruption crimes demand highly coordinated actions among criminal agents to succeed. But research dedicated to corruption networks is still in its infancy and indeed little is known about the properties of these networks. Here we present a …

Permutation Jensen-Shannon distance: A versatile and fast symbolic tool for complex time-series analysis

The main motivation of this paper is to introduce the permutation Jensen-Shannon distance, a symbolic tool able to quantify the degree of similarity between two arbitrary time series. This quantifier results from the fusion of two concepts, the …

Fractional Diffusion with Geometric Constraints: Application to Signal Decay in Magnetic Resonance Imaging (MRI)

We investigate diffusion in three dimensions on a comb-like structure in which the particles move freely in a plane, but, out of this plane, are constrained to move only in the perpendicular direction. This model is an extension of the …