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math.DS2026
Bourgain's pointwise ergodic theorem over function fields
Thái Hoàng Lê, Andrew Lott
We prove a function-field analogue of Bourgain's pointwise ergodic theorem. Let be a power of a prime , let be the ring of polynomials over the finit…
math.DS2026
Bohr sets in sumsets III: expanding difference sets and almost Bohr sets
Pierre-Yves Bienvenu, John T. Griesmer, Anh N. Le +1
Let be a discrete abelian group. Følner showed that if has positive upper Banach density, then contains an almost Bohr set -- a set of the form $B \setm…