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Do the rich get richer? Mathematical models for real-world networks
Snapshots of modern mathematics from Oberwolfach
Do the rich get richer? Mathematical models for real-world networks
Networks can be found all around us. From the friendships we form, both in person and online, to the websites we visit on the Internet, and the telephones we use to send messages and make phone calls. Understanding the behavior and structure of these networks can be a difficult task. Mathematicians use models of such complex real-world networks to provide novel insights from an analytical point of view. In this snapshot, we take a look at why mathematics can be useful in understanding networks and discuss interesting recent developments in the study of a popular class of models known as preferential attachment models, which try to explain why the rich get richer.
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Mathematical subjects
Probability Theory and Statistics
Connections to other fields
Computer Science
Engineering and Technology
Humanities and Social Sciences
Physics
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DOI (Digital Object Identifier)
10.14760/SNAP-2026-010-EN
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snapshots: overview
Mathematical subjects
Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics
Connections to other fields
Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics