Entropy appears in many contexts (thermodynamics, statistical mechanics, information
theory, measure-preserving dynamical systems, topological dynamics, etc.) as a measure of …

This book is a comprehensive introduction to quantitative approaches to complex adaptive
systems. Practically all areas of life on this planet are constantly confronted with complex …

Non-extensive statistical mechanics (or q-statistics) is based on the so-called non-additive
Tsallis entropy. Since its introduction by Tsallis, in 1988, as a generalization of the …

Metaphors, generalizations and unifications are natural and desirable ingredients of the
evolution of scientific theories and concepts. Physics, in particular, obviously walks along …

Definition The concept of entropy constitutes, together with energy, a cornerstone of
contemporary physics and related areas. It was originally introduced by Clausius in 1865 …

Motivated by the hope that the thermodynamical framework might be extended to strongly
interacting statistical systems—complex systems in particular—a number of generalized …

The application of differential operators based on convolution settings has become the
centre of investigation of researchers from all the corners of the globe. Several discussions …

We study the separation property for Cahn-Hilliard type equations with constant mobility and
(physically relevant) singular potentials in two dimensions. That is, any solution with initial …

Despite the extreme complexity that characterizes the mechanism of the earthquake
generation process, simple empirical scaling relations apply to the collective properties of …

The pillars of contemporary theoretical physics are classical mechanics, Maxwell
electromagnetism, relativity, quantum mechanics, and Boltzmann–Gibbs (BG) statistical …