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arXiv · 2502.13750

On a theorem of Fran\c{c}ois Robert

Brigitte Mossé·Sasha Pignol·Elisabeth Remy
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Abstract

A well-known theorem by Fran\c{c}ois Robert expresses the degenerated character of a synchronous Boolean finite dynamical system, in the case where the associated regulatory graph does not contain any circuit: all states of the system go towards a single fixed point. We present a large family of updating modes of Boolean models with the same particularity.

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Brigitte Mossé, Sasha Pignol, Elisabeth Remy. 2025-02-19. On a theorem of Fran\c{c}ois Robert. https://arxiv.org/abs/2502.13750

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