7 papers
Quadratic Term Correction on Heaps' Law
Oscar Fontanelli, Wentian Li
Heaps' or Herdan's law characterizes the word-type vs. word-token relation by a power-law function, which is concave in linear-linear scale but a straight line in log-log scale. Ho…
Rich dynamical behaviors from a digital reversal operation
Yannis Almirantis, Wentian Li
Repeatedly adding or subtracting the digital reversal to or from an integer, depending on which one is larger, can be treated as a dynamical system. On one hand, a three-digit vers…
Non-Zipfian Distribution of Stopwords or Function Words and Subset Selection Models
Wentian Li, Oscar Fontanelli
Stopwords and function words are relatively less informative for the content of a language and more often play a structural role in a sentence. Stopwords are ubiquitous words and m…
Modeling Two-Scale Rank Distributions via Redistribution Dynamics or an Analytic Derivation of the Beta Rank Function
Oscar Fontanelli, Wentian Li
Beta Rank Function (BRF) is a two-sided distribution characterized by a smooth peak and double powerlaw decay, widely used to model empirical data exhibiting deviations from pure p…
An Extensive Study of Two-Node McCulloch-Pitts Networks
Wentian Li, Astero Provata, Thomas MacCarthy
Networks with two nodes are previously grouped into either two classes (mutually interactive, master-slave) or five classes (mutualism, competition, predator-prey, commensalism, am…
Extending 1089 attractor to any number of digits and any number of steps
Yannis Almirantis, Wentian Li
The well-known 1089 trick reflects an amazing trait of digital reversal process and reminisces of a limiting attractor in dynamical systems even though it takes only two steps. It…