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math.NT2026
Pointwise ergodic theorems along sequences of intermediate growth
Leonidas Daskalakis, Mariusz Mirek, Máté Wierdl
We establish the first pointwise convergence result for ergodic averages with iterates along explicit and deterministic sequences of intermediate growth, that is, growing faster th…
math.NT2009
Additive bases arising from functions in a Hardy field
Tsz Ho Chan, Angel Kumchev, Mate Wierdl
A classical additive basis question is Waring's problem. It has been extended to integer polynomial and non-integer power sequences. In this paper, we will consider a wider class o…