A Thermodynamic Classification of Real Numbers

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dc.creatorGarrity, Thomas
dc.date2008-11-09
dc.date2009-03-15
dc.date.accessioned2026-07-07T12:52:07Z
dc.date.available2026-07-07T12:52:07Z
dc.descriptionA new classification scheme for real numbers is given, motivated by ideas from statistical mechanics in general and work of Knauf and of Fiala and Kleban in particular. Critical for this classification of a real number will be the Diophantine properties of its continued fraction expansion.
dc.identifierhttps://arxiv.org/abs/0811.1369
dc.identifierhttp://arxiv.org/abs/0811.1369
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223203
dc.subjectNumber Theory
dc.subjectMathematical Physics
dc.subject11J82 (Primary), 11B57, 11J70, 82B05, 82B26 (Secondary)
dc.titleA Thermodynamic Classification of Real Numbers
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