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Network models of stochastic power-laws

Posted on:2013-12-08Degree:Ph.DType:Dissertation
University:University of California, San FranciscoCandidate:Peterson, George JackFull Text:PDF
GTID:1452390008469540Subject:Biophysics
Abstract/Summary:
In this work, I investigate what power-law processes may have in common. I propose that their common feature is a specific type of positive feedback. Next, I discuss two specific power-law models for processes which appear to be quite different from one another: (1) citations of scientific papers, and (2) physical interactions between proteins in cells. Finally, I discuss a new theoretical framework for describing power-law phenomena, based on the principle of maximum entropy, combined with a symmetry relationship.
Keywords/Search Tags:Power-law
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