Language Statistics at Different Spatial, Temporal, and Grammatical Scales.

In recent decades, the field of statistical linguistics has made significant strides, which have been fueled by the availability of data. Leveraging Twitter data, this paper explores the English and Spanish languages, investigating their rank diversity across different scales: temporal intervals (ranging from 3 to 96 h), spatial radii (spanning 3 km to over 3000 km), and grammatical word ngrams (ranging from 1-grams to 5-grams). The analysis focuses on word ngrams, examining a time period of 1 year (2014) and eight different countries.

Temporal, Structural, and Functional Heterogeneities Extend Criticality and Antifragility in Random Boolean Networks.

Most models of complex systems have been homogeneous, i.e., all elements have the same properties (spatial, temporal, structural, functional).