WebOct 12, 2024 · Complex networks have become the main paradigm for modelling the dynamics of interacting systems. However, networks are intrinsically limited to describing pairwise interactions, whereas real-world systems are often characterized by higher-order interactions involving groups of three or more units. Higher-order structures, such as … WebMar 23, 2024 · Since group interactions are common in social, biological and technological systems, higher-order networks have recently led to important new discoveries across many fields of research. Here, we review these works, focusing in particular on the novel aspects of the dynamics that emerges on higher-order networks. We cover a variety …
Battiston Leads Review on the Structure and Dynamics of Higher …
WebOct 4, 2024 · In addition to reconstruction from direct but uncertain data, it is challenging to infer higher-order structures from indirect data, such as time series, which encode the dynamical behaviour of... WebNov 23, 2024 · Summary. 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 generalized network structures which allow us to capture the combinatorial properties, the topology and the geometry of higher-order networks. how does temperature drop with altitude
[2203.06601v1] Dynamics on higher-order networks: A …
WebThis is a collection of research about higher-order network (continuously updated). 1. Higher-Order Systems Battiston, Federico, and Giovanni Petri. "Higher-Order Systems." (2024). paper link Bianconi, Ginestra. HIGHER ORDER NETWORKS: An Introduction to Simplicial Complexes. Cambridge University Press, 2024. paper link WebMar 1, 2024 · We put in perspective this phenomenon with eigenvector localization and discuss how a focus on higher-order structures is needed to discern the more subtle localization at the mesoscopic level. Websystems, higher-order networks have recently led to important new discov-eries across many fields of research. Here, we review these works, focusing in particular on the novel … how does temporary custody work