Dimensión fractal para conjuntos finitos, con aplicaciones a la biología

ALONSO, J.M.; ALVAREZ, J.A.; VEGA RIVEROS, C.; . VILLAGRA, P.E.

Mendoza

Jornada; . XXIV Jornadas de Investigación y VI Jornadas de Posgrado Universidad Nacional de Cuyo; 2016

UNCuyo

The architecture of plants responds to endogenous processes and to the influence of environmental factors. The allometric study of architecture has been a challenge for Biology. We define a new finite dimension of plants (and of roots), and compute examples. Our first results suggest that there is a close relationship between the finite dimension (as a function of time) and the ontogenesis, of plants and roots. We obtain an objective metric that allows a detailed study of ontogenesis of plants (and of roots). Our definition is based on a new finite Hausdorff dimension introduced recently which, in contrast to the classical Hausdorff dimension, is not zero on finite sets.