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math.DS2019★ 2 cited
An extension of Weyl's equidistribution theorem to generalized polynomials and applications
Vitaly Bergelson, Inger J. Håland Knutson, Younghwan Son
Generalized polynomials are mappings obtained from the conventional polynomials by the use of operations of addition, multiplication and taking the integer part. Extending the clas…
math.DS2015★ 5 cited
Birkhoff sum fluctuations in substitution dynamical systems
Elliot Paquette, Younghwan Son
We consider the deviation of Birkhoff sums along fixed orbits of substitution dynamical systems. We show distributional convergence for the Birkhoff sums of eigenfunctions of the s…