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SIIA Público
SISTEMA INTEGRAL DE INFORMACIÓN ACADÉMICA - PÚBLICO
Título del libro: Up2010: Have Observations Revealed A Variable Upper End Of The Initial Mass Function Título del capítulo: Color-Magnitude Diagrams, Probabilistic Synthesis Models and the Upper Mass Limit of the Initial Mass Function
We present the underlying relations between color-magnitude diagrams (CMDs) and synthesis models through the use of stellar luminosity distribution functions. CMD studies make direct use of the stellar luminosity distribution function while, in general, synthesis models only use its mean value, even though high-order moments can also be obtained. We show that the mean high-order moments and integrated luminosity distribution functions of stellar ensembles are related to the stellar luminosity distribution function within the formalism of probabilistic synthesis models. More details have been yet presented in Cervino & Luridiana (2006) and references therein. As a direct application of this formalism, we discuss two key issues. First, we discuss inferences on the upper mass limit of the IMF as a function of the total mass of clusters. Second, we apply extreme value theory to show that the cluster mass obtained from normalising the IMF between m(max) and m(up), does not provide the clust