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arXiv · 1012.4975

Hierarchical Gompertzian growth maps with application in astrophysics

S. De Martino·S. De Siena
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Abstract

The Gompertz model describes the growth in time of the size of significant quantities associated to a large number of systems, taking into account nonlinearity features by a linear equation satisfied by a nonlinear function of the size. Following this scheme, we introduce a class of hierarchical maps which describe discrete sequences of intermediate characteristic scales. We find the general solutions of the maps, which account for a rich set of possible phenomena. Eventually, we provide an important application, by showing that a map belonging to the class so introduced generates all the observed astrophysical length and mass scales.

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S. De Martino, S. De Siena. 2010-12-22. Hierarchical Gompertzian growth maps with application in astrophysics. https://arxiv.org/abs/1012.4975

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