8 papers · 1 filter
Fast-variable reduction to complex contagion unifies epidemic models
Laurent Hébert-Dufresne, Péter L. Simon, István Z. Kiss
Across biological and social complex systems, models of epidemics or contagions incorporate complexity through network correlations, adaptive behavior, higher-order interactions, o…
Dynastic dynamics: Modelling powerful naming choices with stochastic prestige
Pablo Rosillo-Rodes, Santiago Lamata-Otín, David Soriano-Paños +2
The naming choices of powerful rulers encode millennia of cultural, political, and institutional influences. Consequently, the long-term onomastic dynamics within some of the most…
The impact of behavioral homophily and conformity on epidemic spreading in networks with large groups
Olivier Ribordy, Clara Granell, Guillaume St-Onge +3
Understanding how social behavior influences epidemic dynamics has become a central focus in mathematical epidemiology. In particular, \textit{behavioral homophily} (the tendency o…
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…
Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions
Leah A. Keating, Laurent Hébert-Dufresne
We study a self-consistent approach to introduce higher-order effects in a branching process model of complex contagion on clustered networks. Branching processes operate over an i…
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…