A mathematical excursion : from the three-door problem to a Cantor-type perfect set
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- dc.contributor.author Paradís, Jaumeca
- dc.contributor.author Viader Canals, Pelegríca
- dc.contributor.author Bibiloni, Lluísca
- dc.contributor.other Universitat Pompeu Fabra. Departament d'Economia i Empresa
- dc.date.accessioned 2017-07-26T10:50:32Z
- dc.date.available 2017-07-26T10:50:32Z
- dc.date.issued 1997-06-01
- dc.date.modified 2017-07-23T02:03:15Z
- dc.description.abstract 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.
- dc.format.mimetype application/pdfca
- dc.identifier https://econ-papers.upf.edu/ca/paper.php?id=239
- dc.identifier.citation American Mathematical Monthly, 106, 3, (1999), pp. 241-251
- dc.identifier.uri http://hdl.handle.net/10230/1196
- dc.language.iso eng
- dc.relation.ispartofseries Economics and Business Working Papers Series; 239
- dc.rights L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons
- dc.rights.accessRights info:eu-repo/semantics/openAccess
- dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/es/
- dc.subject.keyword pierce expansions
- dc.subject.keyword cantor-type sets
- dc.subject.keyword Statistics, Econometrics and Quantitative Methods
- dc.title A mathematical excursion : from the three-door problem to a Cantor-type perfect seten
- dc.type info:eu-repo/semantics/workingPaper