Multidimensional continued fractions and a Minkowski function

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dc.creatorPanti, Giovanni
dc.date2007-05-04
dc.date2007-10-02
dc.date.accessioned2026-07-07T08:33:01Z
dc.date.available2026-07-07T08:33:01Z
dc.descriptionThe Minkowski Question Mark function can be characterized as the unique homeomorphism of the real unit interval that conjugates the Farey map with the tent map. We construct an n-dimensional analogue of the Minkowski function as the only homeomorphism of an n-simplex that conjugates the piecewise-fractional map associated to the Monkemeyer continued fraction algorithm with an appropriate tent map.
dc.description17 pages, 3 figures. Revised version according to the referee's suggestions. Proof of Lemma 2.3 more detailed, other minor modifications. To appear in Monatshefte fur Mathematik
dc.identifierhttps://arxiv.org/abs/0705.0584
dc.identifierhttp://arxiv.org/abs/0705.0584
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138981
dc.subjectNumber Theory
dc.subjectDynamical Systems
dc.subject11J70; 37A45
dc.titleMultidimensional continued fractions and a Minkowski function
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