"Some remarks on the compatibility between determinism and unpredictability"

Progress in Biophysics and Molecular Biology 110 (1):61-68 (2012)
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Abstract

Determinism and unpredictability are compatible since deterministic flows can produce, if sensitive to initial conditions, unpredictable behaviors. Within this perspective, the notion of scenario to chaos transition offers a new form of predictability for the behavior of sensitive to initial condition systems under the variation of a control parameter. In this paper I first shed light on the genesis of this notion, based on a dynamical systems approach and on considerations of structural stability. I then suggest a link to the figure of epigenetic landscape, partially inspired by a dynamical systems perspective, and offering a theoretical framework to apprehend developmental noise.

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Sara Franceschelli
École Normale Supérieure de Lyon