A Thermodynamic Classification of Real Numbers

Details A Thermodynamic Classification of Real Numbers A Thermodynamic Classification of Real Numbers

2008-11-09

arxiv.org/abs/0811.1369v3

Mathematics

Number Theory

Scientific paper

A 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.

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