Thomas Garrity
Published 2008-11-09, updated 2009-03-15Version 3
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.
Combinatorial structure of Sturmian words and continued fraction expansions of Sturmian numbers
On the continued fraction expansion of a class of numbers
On the period of the continued fraction expansion of ${\sqrt {2^{2n+1}+1}}$
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