We show that the Gompertz equation describes the evolution in time of the median of a geometric stochastic process. Therefore, we induce that the process itself generates the growth. This result allows us further to exploit a stochastic variational principle to take account of self-regulation of growth through feedback of relative density variations. The conceptually well defined framework so introduced shows its usefulness by suggesting a form of control of growth by exploiting external actions.

Stochastic roots of growth phenomena

DE LAURO, ENZA;DE MARTINO, Salvatore;DE SIENA, Silvio;GIORNO, Virginia
2014-01-01

Abstract

We show that the Gompertz equation describes the evolution in time of the median of a geometric stochastic process. Therefore, we induce that the process itself generates the growth. This result allows us further to exploit a stochastic variational principle to take account of self-regulation of growth through feedback of relative density variations. The conceptually well defined framework so introduced shows its usefulness by suggesting a form of control of growth by exploiting external actions.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4562458
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