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  1.  21
    Differential Heterogenesis and the Emergence of Semiotic Function.Alessandro Sarti, Giovanna Citti & David Piotrowski - 2019 - Semiotica 2019 (230):1-34.
    In this study, we analyse the notion of “differential heterogenesis” proposed by Deleuze and Guattari on a morphogenetic perspective. We propose a mathematical framework to envisage the emergence of singular forms from the assemblages of heterogeneous operators. In opposition to the kind of differential calculus that is usually adopted in mathematical-physical modelling, which tends to assume a homogeneous differential equation applied to an entire homogeneous region, heterogenesis allows differential constraints of qualitatively different kinds in different points of space and time. (...)
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  2.  4
    Neurogeometry of Perception: Isotropic and Anisotropic Aspects.Giovanna Citti & Alessandro Sarti - forthcoming - Axiomathes.
    In this paper we first recall geometrical models of neurogeometical in Lie groups and we show that geometrical properties of horizontal cortical connectivity can be considered as a neural correlate of a geometry of the visual plane. Then we introduce a new model of non isotropic cortical connectivity modeled on statistics of images. In this way we are able to justify oblique phenomena comparable with experimental findings.
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