Structure and Dynamics of Complex Networks
Final rept. 1 Oct 2007-30 Sep 2011
PRINCETON UNIV NJ OFFICE OF RESEARCH AND PROJECT ADMINISTRATION
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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.
- Statistics and Probability
- Operations Research