Sobre funciones C^2 -convexas y dinámica discreta

N. Romero

N. Romero Universidad Centroccidental Lisandro Alvarado

Palabras clave: C2-convexfuntions, Discrete dynamic, endomorphism’s of Rn. Funciones C 2 -convexas, Dinámica discreta, Endomorfismo de R^n

Resumen

En este artículo reportamos varios conocidos resultados sobre la dinámica dada por la interaciónn de endomorfismos de R^n en los que al menos una de sus funciones coordenadas tiene cierto tipo de convexidad (C^2 -convexidad). Expondremos las propiedades básicas (analíticas y geométricas) de esta clase de funciones convexas que tienen importante influencia en los fenómenos dinámicos que son discutidos; también presentaremos algunos problemas que consideramos interesantes abordar.

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