This chapter revisits a generalized framework based on an analogy with the economic theory of production functions for simultaneously …

This chapter revisits an attempt to incorporate rural and urban regions into a coherent and unified approach based on scaling …

This chapter revisits two approaches connecting Zipf’s law and urban scaling – two of the best-known examples of regularities emerging …

Scaling laws between urban indicators and the population are one of the most striking and universal findings of recent urban studies. …

Amid growing urbanization, the 15-minute city model seeks to transform city living by ensuring essential services are just a short walk …

In recent years, digital games have become increasingly present in people’s lives both as a leisure activity or in gamified activities …

Permutation entropy and its associated frameworks are remarkable examples of physics-inspired techniques adept at processing complex …

Power law scaling models have been used to understand the complexity of systems as diverse as cities, neurological activity, and …

Tasks of different nature and difficulty levels are a part of people’s lives. In this context, there is a scientific interest in the …

A common expectation is that career productivity peaks rather early and then gradually declines with seniority. But whether this holds …

We investigate a nonlinear diffusion process in which particles stochastically reset to their initial positions at a constant rate. The …

Heterogeneous media diffusion is often described using position-dependent diffusion coefficients and estimated indirectly through mean …

While extensive literature exists on the COVID-19 pandemic at regional and national levels, understanding its dynamics and consequences …

Recent advances in deep learning methods have enabled researchers to develop and apply algorithms for the analysis and modeling of …

Cryptocurrencies are considered the latest innovation in finance with considerable impact across social, technological, and economic …

Despite significant efforts devoted to understanding the underlying complexity and emergence of collective movement in animal groups, …

Recent research has shown that criminal networks have complex organizational structures, but whether this can be used to predict static …

We investigate the solutions of the Schrödinger equation in the presence of geometric constraints represented by a backbone structure …

Humans are facilitating the introduction and range expansion of invasive alien species (IAS), which have negatively impacted ecological …

The word “physics” can be understood in at least two ways. First, based on the Greek origin of the word, physics means …

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 …

Center of pressure (COP) signals have been widely used to investigate various aspects of human balance during quiet standing. Here, we …

Describing the permanence of cultural objects is an important step in understanding societal trends. A relatively novel cultural object …

Many simple natural phenomena are characterized by complex motion that appears random at first glance, but that often displays …

Corruption crimes demand highly coordinated actions among criminal agents to succeed. But research dedicated to corruption networks is …

The main motivation of this paper is to introduce the permutation Jensen-Shannon distance, a symbolic tool able to quantify the degree …

We investigate diffusion in three dimensions on a comb-like structure in which the particles move freely in a plane, but, out of this …

We investigated daily COVID-19 cases and deaths in the 337 lower tier local authority regions in England and Wales to better understand …

Machine learning methods are becoming increasingly important for the development of materials science. In spite of this, the use of …

We investigate a diffusion process in heterogeneous media where particles stochastically reset to their initial positions at a constant …

Urban scaling theory explains the increasing returns to scale of urban wealth indicators by the per capita increase of human …

Bio and nature behaviors inspired modelling of diffusion and trapping of particles, key phenomena for life occurrence, must consider a …

We investigate a family of generalized Fokker-Planck equations that contains Richardson and porous media equations as members. …

The association between productivity and impact of scientific production is a long-standing debate in science that remains …

Since Bandt and Pompe’s seminal work, permutation entropy has been used in several applications and is now an essential tool for time …

Aim Range size conservatism suggests that closely‐related species maintain geographic ranges of similar extent. However, consensus …

Urban scaling and Zipf’s law are two fundamental paradigms for the science of cities. These laws have mostly been investigated …

Summarized by the efficient market hypothesis, the idea that stock prices fully reflect all available information is always confronted …

An increasing abstraction has marked some recent investigations in network science. Examples include the development of algorithms that …

The urban scaling hypothesis has improved our understanding of cities; however, rural areas have been neglected. We investigated …

The current outbreak of the coronavirus disease 2019 (COVID-19) is an unprecedented example of how fast an infectious disease can …

Diffusion processes occurring in a myriad of systems sparkle great interest in understanding their general properties and applications. …

We present an analytical treatment of anomalous diffusion in a three-dimensional comb (xyz-comb) by using the Green’s function …

Machine learning algorithms have been available since the 1990s, but it is much more recently that they have come into use also in the …

Recent experimental findings on anomalous diffusion have demanded novel models that combine annealed (temporal) and quenched (spatial …

Researchers of several areas have reported that there are still significant gender differences in their performances within different …

We investigate a connection between random walks and nonlinear diffusion equations within the framework proposed by Einstein to explain …

Approaches for mapping time series to networks have become essential tools for dealing with the increasing challenges of characterizing …

The question of whether urbanization contributes to increasing carbon dioxide emissions has been mainly investigated via scaling …

We propose an approach for analysing the dynamics of human postural sway using measures applied to study inhomogeneous temporal …

Concepts of statistical mechanics as well as other typical tools of physics have been largely used in the analysis of several aspects …

Imaging techniques are essential tools for inquiring a number of properties from different materials. Liquid crystals are often …

The efficient market hypothesis has far-reaching implications for financial trading and market stability. Whether or not …

In spite of the considerable progress towards reducing illiteracy rates, many countries, including developed ones, have encountered …

Art is the ultimate expression of human creativity that is deeply influenced by the philosophy and culture of the corresponding …

We investigate the solutions for a set of coupled nonlinear Fokker–Planck equations coupled by the diffusion coefficient in presence of …

Hidden structural patterns in written texts have been subject of considerable research in the last decades. In particular, mapping a …

Understanding the causes of crime is a longstanding issue in researcher’s agenda. While it is a hard task to extract causality from …

We investigate a process obtained from a combination of nonlinear diffusion equations with reaction terms connected to a reversible …

Scale-adjusted metrics (SAMs) are a significant achievement of the urban scaling hypothesis. SAMs remove the inherent biases of per …

One of the most useful tools for distinguishing between chaotic and stochastic time series is the so-called complexity-entropy …

Corruptive behaviour in politics limits economic growth, embezzles public funds, and promotes socio-economic inequality in modern …

The generalized diffusion equations with fractional order derivatives have shown be quite efficient to describe the diffusion in …

We review some analytical results obtained in the context of the fractional calculus for the electrical spectroscopy impedance, a …

We study relaxation patterns of violent conflicts after bursts of activity. Data were obtained from available catalogs on the conflicts …

Dengue infection plays a central role in our society, since it is the most prevalent vector-borne viral disease affecting humans. We …

The search for patterns in time series is a very common task when dealing with complex systems. This is usually accomplished by …

A nonlinear random walk related to the porous medium equation (nonlinear Fokker–Planck equation) is investigated. This random walk is …

In this study, we argue that ion motion in electrolytic cells containing Milli-Q water, weak electrolytes, or liquid crystals may …

We investigate an intermittent process obtained from the combination of a nonlinear diffusion equation and pauses. We consider the …

We analyze the asymptotic behavior of the impedance (or immittance) spectroscopy response of an electrolytic cell in a finite-length …

Diffusion of particles in a heterogeneous system separated by a semipermeable membrane is investigated. The particle dynamics is …

Collaboration plays an increasingly important role in promoting research productivity and impact. What remains unclear is whether …

We investigate how the changes on the electrode surface may influence the behavior of the constant–phase elements (CPE) and, …

Samples of (Bi1-xGdx)14W2O27 (x = 0 and 0.05) compounds were prepared via a combination of mechanochemical and thermal treatments upon …

The aim of this paper is to further explore the usefulness of the two-dimensional complexity-entropy causality plane as a texture image …

Statistical similarities between earthquakes and other systems that emit cracking noises have been explored in diverse contexts, …

We investigate the behavior for a set of fractional reaction–diffusion equations that extend the usual ones by the presence of spatial …

The idea that the success rate of a team increases when playing home is broadly accepted and documented for a wide variety of sports. …

We report on a diffusive analysis of the motion of flagellate protozoa species. These parasites are the etiological agents of neglected …

Urban population scaling of resource use, creativity metrics, and human behaviors has been widely studied. These studies have not …

We report on a large-scale characterization of river discharges by employing the network framework of the horizontal visibility graph. …

We investigate a sorption process where one substance spreads out through another having possibility of chemical reaction between them. …

The electrical response of an electrolytic cell containing more than one group of ions is investigated under the fractional approach …

More than a half of world population is now living in cities and this number is expected to be two-thirds by 2050. Fostered by the …

We investigate the solutions of a fractional diffusion equation subjected to boundary conditions which can be connected to adsorption – …

The solutions for a dimensional system with radial symmetry and governed by a fractional diffusion equation have been investigated. …

In this report, the temperature dependence of the refractive index and electric impedance of vegetable oil grape seeds extracted from …

We report on an extensive characterization of the cracking noise produced by charcoal samples when dampened with ethanol. We argue that …

The spatial dynamics of criminal activities has been recently studied through statistical physics methods; however, models and results …

In the present study, we investigate patterns in the postural sway that characterize the static balance in human beings. To measure the …

Since the seminal works of Wilson and Kelling [1] in 1982, the “broken windows theory” seems to have been widely accepted among the …

A confined liquid with dispersed neutral particles is theoretically studied when the limiting surfaces present different dynamics for …

We report on the time dependent solutions of the $q$-generalized Schrödinger equation proposed by Nobre et al. (2011). Here we …

In this study, we analyze the reaction times obtained from participants in a psychomotor activity composed of a large number of trials …

Brazil holds approximately 1/3 of population living infected with AIDS (acquired immunodeficiency syndrome) in Central and South …

We investigate a system governed by a fractional diffusion equation with an integro-differential boundary condition on the surface. …

The comb model is a simplified description for anomalous diffusion under geometric constraints. It represents particles spreading out …

The reaction process occurring on a solid surface where active sites are present is investi- gated. The phenomenon is described by a …

We report on the existing connection between power-law distributions and allometries. As it was first reported in Gomez-Lievano et al. …

Understanding the mechanisms and processes underlying the dynamics of collective violence is of considerable current interest. Recent …

We investigate dilute solutions of different salts (KClO3, K2SO4, and CdCl2H2O) dissolved in Milli-Q deionized water in the context of …

We report on a statistical analysis of the lightning activity rates in all Brazilian cities. We find out that the average of lightning …

We investigate the solutions, survival probability, and first passage time for a two dimensional diffusive process subjected to the …

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We report on a statistical analysis of the engagement in the electoral processes of all Brazilian cities by considering the …

We investigate, for an arbitrary initial condition, the time dependent solutions for a fractional Schrödinger equation in presence of …

We report on a quantitative analysis of relationships between the number of homicides, population size and other ten urban metrics. By …

Groupoid theory plays an important role in physics since the beginnings of quantum mechanics. Recent developments in understanding …

We report on the dynamical behavior of defects of strength s = +/- 1/2 in a lyotropic liquid crystal during the annihilation process. …

Topological defects can appear whenever there is some type of ordering. Its ubiquity in nature has been the subject of several studies, …

The increasing number of crimes in areas with large concentrations of people have made cities one of the main sources of violence. …

The effects of an external force on a diffusive process subjected to a backbone structure are investigated by considering the system …

The complexity of chess matches has attracted broad interest since its invention. This complexity and the availability of large number …

We analyze the electrical response obtained in the framework of a model in which the diffusion of mobile ions in the bulk is governed …

We investigate the time evolution of the scores of the second most popular sport in the world: the game of cricket. By analyzing, event …

We investigate how it is possible to obtain different diffusive regimes from the Continuous Time Random Walk (CTRW) approach performing …

We study the optical transmittance of ternary mixtures of water, glycerin and ferrofluids. These mix- tures are subject to pulsed …

Complexity measures are essential to understand complex systems and there are numerous definitions to analyze one- dimensional data. …

The electrical impedance data of different nematic liquid-crystal cells are analyzed in the framework of a model in which the diffusion …

A wide range of physical and biological systems exhibit complex behaviours characterised by a scale-invariant structure of the …

We investigate a fractional diffusion equation with a nonlocal reaction term by using the Green function approach. We also consider a …

We investigate a generalized Langevin equation (GLE) in the presence of an additive noise characterized by the mixture of the usual …

The spatial and time dependent solutions of the Schrödinger equation incorporating the fractional time derivative of distributed order …

Nowadays we are often faced with huge databases resulting from the rapid growth of data storage technologies. This is particularly true …

We study a system of interacting particles in the framework of the two-parameter Sharma–Mittal entropy Sq,r. The two-body Hamiltonian …

We investigate the electrical response of Milli-Q deionized water by using a fractional diffusion equation of distributed order with …

The contribution of ions to the electrical impedance of an electrolytic cell limited by perfect blocking electrodes is determined by …

Nowadays there is an increasing interest of physicists in ﬁnding regularities related to social phenomena. This interest is clearly …

The electrical response of an electrolytic cell in which the diffusion of mobile ions in the bulk is governed by a fractional diffusion …

We obtain an exact form for the propagator of the Fokker-Planck equation in presence of the external force. Using the results found …

We revisit the problem of diffusion in a porous catalyst by incorporating in the diffusion equation fractional time derivatives and a …

The accidental oil spill in the Gulf of Mexico in 2010 has caused perceptible damage to marine and freshwater ecosystems. The large …

The finite-size effect on the thermal mirror (TM) experiments is described. The time-resolved thermoelastic deformation equation is …

In this work, we investigate some statistical properties of symbolic sequences generated by a numerical procedure in which the symbols …

Two empirical, but plausible, previously published independent generalizations of the standard Poisson-Nernst-Planck (PNP) continuum …

We investigate the dynamics of the 2009 influenza A (H1N1/S-OIV) pandemic by analyzing data obtained from World Health Organization …

We investigate the diffusion equation subjected to the boundary conditions ρ(±∞, y;t) = 0 and ρ(x,±∞;t) = 0, and the initial condition …

We report on a statistical analysis of the people agglomeration soundscape. Speciﬁcally, we investigate the normalized sound amplitudes …

We investigate the dynamics of many interacting bubbles in boiling water by using a laser scattering experiment. Speciﬁcally, we …

We report a statistical analysis of more than eight thousand songs. Speciﬁcally, we investigated the probability distribution of the …

The solutions of a nonlinear diffusion equation by considering the radially symmetric N-dimensional case are investigated. This …

We report remarkable similarities in the output signal of two distinct out-of-equilibrium physical systems – earthquakes and the …

Solutions for a non-Markovian diffusion equation are investigated. For this equation, we consider a spatial and time dependent …

We argue that the continuous-time random walk approach may be a useful guide to extend the Schrödinger equation in order to incorporate …

The influence of surface viscosity and anchoring energy on the reorientation process of a nematic liquid crystal cell is theoretically …

High production meeting product quality, process safety and environmental regulation provide to control systems a key role in …

The electrical impedance of an insulating solid containing ions is evaluated in the presence of the generation and recombination of …

The requirements of high production allied with product quality, process safety and environmental regulation, lead control systems to …

In this paper we consider a continuous time random walk (CTRW) model with a decoupled jump pdf. Further, we consider an approximate …

A random walk-like model is considered to discuss statistical aspects of tournaments. The model is applied to soccer leagues with …

This paper presents an improved theoretical description of the mode-mismatched thermal lens effect using models that account for heat …

The equilibrium tilt angle profile in a cell limited by two concentric cylinders filled with nematic liquid crystals is determined for …

The non-Markovian diffusion of dispersed particles in a semi-infinite cell of an isotropic fluid limited by an adsorbing-desorbing …

We analyze the inﬂuence of the anchoring energy strength on the relaxation of the nematic deformation, when the distorting ﬁeld is …

We obtain exact solutions and the survival probability for a Fokker-Planck equation subjected to the two-dimensional wedge domain. We …

We investigate solutions, by using the Green function approach, for a system governed by a non-Markovian Fokker-Planck equation and …

We address this work to investigate symbolic sequences with long-range correlations by using computational simulation. We analyze …

The inﬂuence of the ions on the electrochemical impedance of a cell is calculated in the framework of a complete model in which the …

We argue that nonlocal effects represented by fractionary terms in the kinetic energy can be relevant to achieve a satisfactory …

This work is devoted to investigating solutions for the diffusion equation with a nonlocal spatial and time-dependent term by using the …

The tilt angle proﬁle in a nematic cell limited by two concentric cylindrical surfaces with inhomogeneous distribution of easy axes is …

The nonextensive statistical mechanics proposed by Tsallis is today an intense and growing research ﬁeld. Probability distributions …

We devote this work to investigate the solutions of a N-dimensional nonlinear fractional diﬀusion equation which emerges from the …

A family of entropy indices constructed in the framework of Tsallis entropy formalism is used to investigate ecological diversity. It …

We investigate an N-dimensional fractional diffusion equation with radial symmetry by taking a spatial and time dependent diffusion …

The diﬀusive process of dispersed particles in a semi-inﬁnite cell of an anisotropic ﬂuid limited by an adsorbing surface is …