Evolution Equations Exhibiting H-Theorems related to the LMC Statistical Measures of Complexity

The LMC statistical measure of complexity (and other related measures that, in this work, are collectively referred to as “LMC measures”) have been applied, by researchers in physics and other areas, to the study of diverse problems. In spite of the intriguing results reported in those studies, relatively little attention has been devoted to characterize what types of dynamics lead to the optimization of the LMC measures. As a first, exploratory step in that direction, we consider an example of a family of evolution equations admitting an H -like theorem related to the LMC measures.