Entropy Maximization as a Holistic Design Principle for Complex Optimal Networks and the Emergence of Power Laws

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dc.creatorVenkatasubramanian, Venkat
dc.creatorPolitis, Dimitris N.
dc.creatorPatkar, Priyan R.
dc.date2004-08-03
dc.date.accessioned2026-07-07T08:17:12Z
dc.date.available2026-07-07T08:17:12Z
dc.descriptionWe present a general holistic theory for the organization of complex networks, both human-engineered and naturally-evolved. Introducing concepts of value of interactions and satisfaction as generic network performance measures, we show that the underlying organizing principle is to meet an overall performance target for wide-ranging operating or environmental conditions. This design or survival requirement of reliable performance under uncertainty leads, via the maximum entropy principle, to the emergence of a power law vertex degree distribution. The theory also predicts exponential or Poisson degree distributions depending on network redundancy, thus explaining all three regimes as different manifestations of a common underlying phenomenon within a unified theoretical framework.
dc.descriptionCIPAC Tech Report 2004-1 delivered as a seminar in Feb 2004 in the LIPS Seminar Series, School of Chemical Engineering, Purdue University
dc.identifierhttps://arxiv.org/abs/nlin/0408007
dc.identifierhttp://arxiv.org/abs/nlin/0408007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134045
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectStatistical Mechanics
dc.subjectInformation Theory
dc.subjectQuantitative Methods
dc.titleEntropy Maximization as a Holistic Design Principle for Complex Optimal Networks and the Emergence of Power Laws
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