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Fibonacci number systems and the localization criterion in the many-body Aubry-André model
disordered-systems-and-neural-networksmathematical-physicsmesoscale-and-nanoscale-physicsstatistical-mechanics
We introduce an extension of the Fibonacci number system, we call the fractional Fibonacci number system, which interpolates between the Fibonacci number system (used for natural numbers) and the irrational base-$ϕ$ number system, which can be used to represent real numbers. The number system finds
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