4 papers
Kuramoto model on Sierpinski Gasket I: Harmonic maps
Georgi S. Medvedev, Matthew S. Mizuhara
Motivated by the study of attractors in the Kuramoto model (KM) on graphs approximating the Sierpinski gasket (SG), we revisit the problem of harmonic maps (HMs) from SG to the cir…
Mixed higher-order coupling stabilizes new states
Per Sebastian Skardal, Federico Battiston, Maxime Lucas +3
Understanding how higher-order interactions affect collective behavior is a central problem in nonlinear dynamics and complex systems. Most works have focused on a single higher-or…
The Kuramoto model on the Sierpinski Gasket II: Twisted states
Georgi S. Medvedev, Matthew S. Mizuhara
We study the Kuramoto model (KM) of coupled phase oscillators on graphs approximating the Sierpinski gasket (SG). As the size of the graph tends to infinity, the limit points of th…
A bounded confidence model to predict how group work affects student math anxiety
Matthew S. Mizuhara, Katherine Toms, Maya Williams
Math anxiety is negatively correlated with student performance and can result in avoidance of further math/STEM classes and careers. Cooperative learning (i.e., group work) is a pr…