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Found 6 papers, 0 papers with code
Fat Tails and Black Swans: Exact Results for Multiplicative Processes with Resets
We consider a class of multiplicative processes which, added with stochastic reset events, give origin to stationary distributions with power-law tails -- ubiquitous in the statistics of social, economic, and ecological systems.
Individual risk-aversion responses tune epidemics to critical transmissibility ($R=1$)
We conclude that uncoordinated changes in human behavior can, by themselves, explain major qualitative and quantitative features of the epidemic process, as the emergence of multiple waves and the tendency to remain around $R=1$ observed worldwide after the first few waves of COVID-19.
Heaps' law and Heaps functions in tagged texts: Evidences of their linguistic relevance
We study the relationship between vocabulary size and text length in a corpus of $75$ literary works in English, authored by six writers, distinguishing between the contributions of three grammatical classes (or ``tags,'' namely, {\it nouns}, {\it verbs}, and {\it others}), and analyze the progressive appearance of new words of each tag along each individual text.
Information-theoretical analysis of the statistical dependencies among three variables: Applications to written language
We identify the words enclosing the key semantic concepts of the text, the triplets of words with high pairwise and triple interactions, and the words that mediate the pairwise interactions between other words.
Complexity and universality in the long-range order of words
As is the case of many signals produced by complex systems, language presents a statistical structure that is balanced between order and disorder.
Statistical Patterns in Written Language
Quantitative linguistics has been allowed, in the last few decades, within the admittedly blurry boundaries of the field of complex systems.
