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Lack of Focus Doesn’t Equal Lack of Intelligence — It’s Actually Proof of an Intricate Brain #ActuallyAutistic #AuDHD #Brains

Lack of Focus Doesn’t Equal Lack of Intelligence — It’s Actually Proof of an Intricate Brain
Research conducted by Brown University’s Carney Institute for Brain Science illustrates how parts of the brain need to work together to focus on important information while filtering out distractions. Imagine a busy restaurant: dishes clattering, music playing, people talking loudly over one anot

The lower $p$-series of analytic pro-$p$ groups and Hausdorff dimension
Iker de las Heras, Benjamin Klopsch, Anitha Thillaisundaram
https://arxiv.org/abs/2402.06876

The lower $p$-series of analytic pro-$p$ groups and Hausdorff dimension
Let $G$ be a $p$-adic analytic pro-$p$ group of dimension $d$. We produce an approximate series which descends regularly in strata and whose terms deviate from the lower $p$-series in a uniformly bounded way. This brings to light a new set of rational invariants, canonically associated to $G$, that yield the aforementioned uniform bound and that restrict the possible values for the Hausdorff dimensions of closed subgroups of $G$ with respect to the lower $p$-series. In particular, the Hausdorff…