Although power laws have been used to fit rank distributions in many different contexts, they usually fail at the tails. Languages as sequences of symbols have been a popular subject for ranking distributions, and for this purpose, music can be treated as such. Here we show that more than 1800...

An empirical law for the rank-order behavior of journal impact factors is found. Using an extensive data base on impact factors including journals on education, agrosciences, geosciences, mathematics, chemistry, medicine, engineering, physics, biosciences and environmental, computer and material...

A new approach to the understanding of complex behavior of financial markets index using tools from thermodynamics and statistical physics is developed. Physical complexity, a quantity rooted in the Kolmogorov–Chaitin theory is applied to binary sequences built up from real time series of...

A new approach to the understanding of complex behavior of financial markets index using tools from thermodynamics and statistical physics is developed. Physical complexity, a magnitude rooted in Kolmogorov-Chaitin theory is applied to binary sequences built up from real time series of financial...

Although power laws of the Zipf type have been used by many workers to fit rank distributions in different fields like in economy, geophysics, genetics, soft-matter, networks, etc. these fits usually fail at the tail. Some distributions have been proposed to solve the problem, but unfortunately...

The behavior of rank-ordered distributions of phenomena present in a variety of fields such as biology, sociology, linguistics, finance and geophysics has been a matter of intense research. Often power laws have been encountered; however, their validity tends to hold mainly for an intermediate...

We characterize the dynamics of primitive molecular synthesis machines operating in outer space on quasi-one-dimensional channels where polymers interact with fixed particles. We show that a generic property of particle/polymer electrostatic interactions is an average three monomer spacing...

We discuss various features of the trajectories of spider monkeys looking for food in a tropical forest, as observed recently in an extensive in situ study. Some of the features observed can be interpreted as the result of social interactions. In addition, a simple model of deterministic walk in...

Master equations for the evolution of complex networks with positive (birth) and negative (death) transition probabilities per unit time are analyzed. Explicit equations for the time evolution of the total number of nodes and for the relative node frequencies are given. It is shown that, in the...

We show that a rudimentary model of two complementary polymer chains confined to a quasi-one-dimensional geometry, each one interacting separately with a fixed particle via a ratchet potential, can be reformulated in terms of one polymer subject to a ratchet potential produced by its interaction...