5 citations · 12 across the 10 of their papers we have counts for
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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…
math.NT2015★ 3 cited
Uniform distribution of subpolynomial functions along primes and applications
Vitaly Bergelson, Grigori Kolesnik, Younghwan Son
Let be a Hardy field (a field consisting of germs of real-valued functions at infinity that is closed under differentiation) and let be a subpolynomial function. Let…