Unmotivated ergodic averages

Emmanuel Kowalski

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arXiv · 2309.13576

Unmotivated ergodic averages

Emmanuel Kowalski

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Abstract

We consider weighted ergodic averages indexed by primes, where the weight depends on the prime, and is a "trace function" coming from algebraic geometry. We obtain extensions the classical mean-ergodic and pointwise ergodic theorems, as well as some result in the topological setting, and raise some further problems.

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Emmanuel Kowalski. 2023-09-24. Unmotivated ergodic averages. https://arxiv.org/abs/2309.13576

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