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2 unusual facts about Thue–Morse sequence


Recurrent sequence

Recurrent word, a sequence such that any factor (consecutive subsequence) that appears does so infinitely often, such as the Thue–Morse sequence or a Sturmian word

Thue–Morse sequence

An example showed how to pour cups of coffee of equal strength from a carafe with a nonlinear concentration gradient, prompting a whimsical article in the popular press.


Nevanlinna theory

According to this analogy, 2 is the exponent in the Thue–Siegel–Roth theorem.

Thue's theorem

Thue–Siegel–Roth theorem, also known as Roth's theorem, is a foundational result in diophantine approximation to algebraic numbers.


see also