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Mathematical Physics Archive
Jean-Pierre Eckmann
Project Description:
This project was originally produced by Jean-Pierre Eckmann for the IAMP Conference 2003 in Lisbon. The concept was later pursued by Sid Redner, from Boston University, who showed that the network of scientific papers, connected by citations, has a power law degree distribution. In a test of this concept papers from the Mathematical Physics Archive were examined for reciprocal citation of the authors, yielding the preceding graph, where colors indicate areas of obvious curvature that were then checked for content. The strongest curvature is the area in red, statistical mechanics, which is reasonable given the nature of the database. This result emerged from the analysis that did not use scientific field as a parameter in generating the clusters.
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