Structure and Dynamics of Complex Networks

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Jun 07, 2012
Accession Number
ADA574664

Entities

People

  • A. Nadar
  • D. Crommelin
  • Eric Vanden-Eijnden
  • Hao Shen
  • Jian Liu
  • Jianfeng Lu
  • Tiejun Li
  • Weinan E

Organizations

  • Princeton University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Computer Science
  • Department Of Defense
  • Differential Equations
  • Diffusion
  • Engineering
  • Image Processing
  • Markov Chains
  • Mathematical Analysis
  • Mathematical Models
  • Mathematics
  • Models
  • Network Science
  • Probability
  • Social Sciences
  • Students

Fields of Study

  • Computer science

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Networking