Network science has evolved into an indispensable platform for studying complex systems.
But recent research has identified limits of classical networks, where links connect pairs of …

The spontaneous emergence of patterns in nature, such as stripes and spots, can be
mathematically explained by reaction-diffusion systems. These patterns are often referred as …

Deception is used by plants, animals, and humans to increase their fitness by persuading
others of false beliefs that benefit the self, thereby creating evolutionary pressure to detect …

Epidemiological models based on traditional networks have made important contributions to
the analysis and control of malware, disease, and rumor propagation. However, higher …

Competing behavior spreading dynamics occur not only through pairwise interactions but
also through higher-order collective interactions. The simplicial complex is widely adopted to …

We report on finite-size exact-diagonalization calculations in a Hilbert space defined by the
continuum-model flat moiré bands of magic angle twisted bilayer graphene. For moiré band …

The rapid development of community detection algorithms, while serving users in social
networks, also brings about certain privacy problems. In this work, we study community …

To explore evolutionary dynamics of collective behaviors within the interconnected
population, previous studies usually map non-pairwise interactions to higher-order static …

Cooperation is key to prosperity in human societies. Population structure is well understood
as a catalyst for cooperation, where research has focused on pairwise interactions. But …

Understanding how cooperative behaviors can emerge from competitive interactions is an
open problem in biology and social sciences. While interactions are usually modeled as …