4 papers
Simpson's paradox explains the ubiquity of nonlinear, threshold, and complex contagions
Laurent Hébert-Dufresne, Antoine Allard, Jean-Gabriel Young +2
Complex contagions describe systems where the probability or rate of contagious transmission is a nonlinear function of the exposure to contagious agents. These models were first s…
Simon's model does not produce Zipf's law: The fundamental rich-get-richer mechanism for any power-law size ranking
Pablo Rosillo-Rodes, Julia Witte Zimmerman, Laurent Hébert-Dufresne +1
Many complex systems are composed of disparate, interacting types of varying sizes: Species abundances in ecosystems, firm sizes in markets, city populations in countries, word cou…
Group dynamics shape contagion onsets and multistable active phases under collective reinforcement
Santiago Lamata-Otín, Federico Malizia, Leah A. Keating +4
Group-based reinforcement can induce discontinuous transitions from inactive to active phases in higher-order contagion models. However, these results are typically obtained on sta…
Complete asymptotic type-token relationship for growing complex systems with inverse power-law count rankings
Pablo Rosillo-Rodes, Laurent Hébert-Dufresne, Peter Sheridan Dodds
The growth dynamics of complex systems often exhibit statistical regularities involving power-law relationships. For real finite complex systems formed by countable tokens (animals…