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math.DS2024★ 1 cited
Seminorm estimates and joint ergodicity for pairwise independent Hardy sequences
Sebastián Donoso, Andreas Koutsogiannis, Borys Kuca +2
We develop a robust structure theory for multiple ergodic averages of commuting transformations along Hardy sequences of polynomial growth. We then apply it to derive a number of n…
math.CO2024
Corners with polynomial side length
Noah Kravitz, Borys Kuca, James Leng
A -polynomial corner, for a polynomial, is a triple of points for . In the case where has an…
math.CO2024
Quantitative concatenation for polynomial box norms
Noah Kravitz, Borys Kuca, James Leng
Using PET and quantitative concatenation techniques, we establish box-norm control with the "expected" directions for counting operators for general multidimensional polynomial pro…