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Guseo, Renato (2015) Diffusion of innovations dynamics, biological growth and catenary function. Static and dynamic equilibria. [Working Paper] WORKING PAPER SERIES, 1/2015 . , PADOVA (Inedito)

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Abstract (english)

The catenary function has a well-known role in determining the shape of chains and cables supported at their ends under the force of gravity.
This enables design using a specific static equilibrium over space. Its reflected version, the catenary arch, allows the construction of bridges and arches exploiting the dual equilibrium property under uniform compression.
In this paper, we emphasize a further connection with well-known aggregate biological growth models over time and the related diffusion of innovation key paradigms (e.g., logistic and Bass distributions over time) that determine selfsustaining evolutionary growth dynamics in naturalistic and socio-economic contexts. Moreover, we prove that the ‘local entropy function’, related to a logistic distribution, is a catenary and vice versa. This special invariance may be explained, at a deeper level, through the Verlinde’s conjecture on the origin of gravity as an effect of the entropic force.


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EPrint type:Working Paper
Anno di Pubblicazione:24 March 2015
Key Words:Hyperbolic cosine, Catenary, Logistic model, Bass models
Settori scientifico-disciplinari MIUR:Area 13 - Scienze economiche e statistiche > SECS-S/01 Statistica
Struttura di riferimento:Dipartimenti > Dipartimento di Scienze Statistiche
Codice ID:8753
Depositato il:25 Mar 2015 09:24
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