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An entropic functional on families of random variables from theoretical biology

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Stochastic Partial Differential Equations (SPDEs)

G. Edelman, O. Sporns and G. Tononi have introduced in theoretical biology the neural complexity of a family of random variables, defining it as a specific average of mutual information over subsystems. We provide a mathematical framework for this concept, studying in particular the problem of maximization of such functional for fixed system size and the asymptotic properties of maximizers as the system size goes to infinity. (Joint work with Jerome Buzzi)

This talk is part of the Isaac Newton Institute Seminar Series series.

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