4.7k citations
- Centro Brasileiro de Pesquisas FísicasBR39 papers
- Medical University of ViennaAT26 papers
- Boston UniversityUS24 papers
- Complexity Science HubAT21 papers
- Los Alamos National LaboratoryUS21 papers
- University of California, DavisUS19 papers
- Universitat Pompeu FabraES16 papers
- University of MichiganUS14 papers
- Institució Catalana de Recerca i Estudis AvançatsES13 papers
- Max Planck Institute for Mathematics in the SciencesDE13 papers
- Texas A&M UniversityUS13 papers
- University of New MexicoUS12 papers
32 papers · 1 filter
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…
Collective dynamics on higher-order networks
Federico Battiston, Christian Bick, Maxime Lucas +3
Higher-order interactions that nonlinearly couple more than two nodes are important in many networked systems, and their effects on collective dynamics are increasingly being studi…
Empirical validation of the polarization transition in a double-random field model of elections
Jan Korbel, Remah Dahdoul, Stefan Thurner
We model bipartisan elections where voters are exposed to two forces: local homophilic interactions and external influence from two political campaigns. The model is mathematically…
What does the tree of life look like as it grows? Evolution and the multifractality of time
Kevin Hudnall, Raissa D'Souza
By unifying three foundational principles of modern biology, we develop a mathematical framework to analyze the growing tree of life. Contrary to the static case, where the analogy…
Vibrational Stabilization of Cluster Synchronization in Oscillator Networks
Yuzhen Qin, Alberto Maria Nobili, Danielle S. Bassett +1
Cluster synchronization is of great importance for the normal functioning of numerous technological and natural systems. Deviations from normal cluster synchronization patterns are…
What does it mean for a system to compute?
David H. Wolpert, Jan Korbel
Many real-world dynamic systems, both natural and artificial, are understood to be performing computations. For artificial dynamic systems, explicitly designed to perform computati…