All beauty, richness and harmony in the emergent dynamics of a complex system largely
depend on the specific way in which its elementary components interact. The last twenty-five …

Gathering events, eg, going to gyms and meetings, are ubiquitous and crucial in the
spreading phenomena, which induce higher-order interactions, and thus can be described …

The complexity of many biological, social and technological systems stems from the richness
of the interactions among their units. Over the past decades, a variety of complex systems …

Higher-order networks describe the many-body interactions of a large variety of complex
systems, ranging from the the brain to collaboration networks. Simplicial complexes are …

Complex networks have been successfully used to describe the spread of diseases in
populations of interacting individuals. Conversely, pairwise interactions are often not …

Simplicial complexes describe the simple fact that in social networks a link can connect
more than two individuals. As we show here, this has far-reaching consequences for …

Various systems in physics, biology, social sciences and engineering have been
successfully modeled as networks of coupled dynamical systems, where the links describe …

Higher-order interactions might play a significant role in the collective dynamics of the brain.
With this motivation, we here consider a simplicial complex of neurons, in particular …

The higher-order interactions of complex systems, such as the brain, are captured by their
simplicial complex structure and have a significant effect on dynamics. However, the existing …

Synchronization processes play critical roles in the functionality of a wide range of both
natural and man-made systems. Recent work in physics and neuroscience highlights the …