Structure and Dynamics of Complex Networks

Structure and Dynamics of Complex Networks

In a series of papers, we have proposed mathematical framework for analyzing community structure in complex networks. Our work is based on analyzing the structure of the Markov chain that arises naturally in such networks. We also proposed the concept of diffusion complex, which is the analog of Wit...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: E, Weinan, Liu, Jian, Vanden-Eijnden, Eric, Nadar, A, Li, Tiejun, Shen, Hao, Crommelin, D, Lu, Jianfeng
Format: Report
Sprache:eng
Schlagworte:
CLUSTERING
COMPLEX NETWORKS
DIFFUSION COMPLEX
DYNAMICS
LANDSCAPES
MARKOV PROCESSES
NETWORKS
Operations Research
PE611102
Statistics and Probability
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Beschreibung
Zusammenfassung:In a series of papers, we have proposed mathematical framework for analyzing community structure in complex networks. Our work is based on analyzing the structure of the Markov chain that arises naturally in such networks. We also proposed the concept of diffusion complex, which is the analog of Witten complex for diffusion processes. This allows us to analyze the landscapes of complex networks. The original document contains color images.