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math.DS2026
Visible Measures along and Distribution of Horocycle Orbits
Adam Kanigowski, Kaitlyn Loyd
Let denote the number of prime factors of , counted with multiplicities. We study the set of weak- limits of the sequence $\frac{1}{N}\sum_{n\leq N}δ_{T^{Ω…
math.DS2024
Ergodic averages along sequences of slow growth
Kaitlyn Loyd, Sovanlal Mondal
We consider pointwise convergence of weighted ergodic averages along the sequence , where denotes the number of prime factors of counted with multiplicities. It wa…
math.DS2021★ 1 cited
A Dynamical Approach to the Asymptotic Behavior of the Sequence
Kaitlyn Loyd
We study the asymptotic behavior of the sequence from a dynamical point of view, where denotes the number of prime factors of counted wi…