Frontier Research Institute for Interdisciplinary Sciences
Tohoku University

Networks can describe various systems in many research fields, such as friendships, infrastructures, protein interactions, the Internet, and so on, by considering their elements as nodes and the interactions between them as edges. The reason why network science can deal broadly with these systems, which at first glance have nothing in common, is the existence of universal statistical properties of complex networks.

One of the common properties is the heterogeneity of the number of edges of a node (degree). In a network with a large degree fluctuation, the correlation between the degrees of nodes is an essential factor in determining the properties of the network.

Although much attention has been paid to degree-degree correlations between nearest neighbor nodes, it has recently become clear that many complex networks in the real world have intrinsic long-range degree correlations that cannot be explained by nearest-neighbor degree-degree correlations. I investigate how intrinsic long-range degree correlations affect processes in networks and relate to other structural properties.