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math.NT2022
Symmetries of the Three Gap Theorem
Aneesh Dasgupta, Roland Roeder
The Three Gap Theorem states that for any and , the fractional parts of partition the unit circle into gaps of at…
math.NT2020★ 2 cited
Level spacing statistics for the multi-dimensional quantum harmonic oscillator: algebraic case
Alan Haynes, Roland Roeder
We study the statistical properties of the spacings between neighboring energy levels for the multi-dimensional quantum harmonic oscillator that occur in a window of fix…