Paper #239

Título:

A mathematical excursion: From the three-door problem to a Cantor-type perfect set

Autores:

Jaume Paradís, Pelegrí Viader y Lluís Bibiloni

Fecha:

Junio 1997

Resumen:

We start with a generalization of the well-known three-door problem: the n-door problem. The solution of this new problem leads us to a beautiful representation system for real numbers in (0,1] as alternated series, known in the literature as Pierce expansions. A closer look to Pierce expansions will take us to some metrical properties of sets defined through the Pierce expansions of its elements. Finally, these metrical properties will enable us to present 'strange' sets, similar to the classical Cantor set.

Palabras clave:

Pierce expansions, cantor-type sets

Códigos JEL:

C00

Área de investigación:

Estadística, Econometría y Métodos Cuantitativos

Publicado en:

American Mathematical Monthly, 106, 3, (1999), pp. 241-251

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