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We outline a model for a cognitive epigenetic system based on elements of theShannon theory of information and the statistical physics of the generalizedOnsager relations. Particular attention is paid to the concept of the ratedistortion function and from another direction as motivated by thethermodynamics of computing, the fundamental homology with the free energydensity of a physical system. A unifying aspect of the dynamic frameworkinvolves the concept of a groupoid and of a groupoid atlas. From a stochasticdifferential equation we postulate a multidimensional Ito process for anepigenetic system from which a stochastic flow may permeate through componentsof this atlas.

Rate distortion coevolutionary dynamics and the flow nature of cognitive epigenetic systems