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Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
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Asymptotic volume of intersection of n-ball and a cube
Let $B$ be the unit ball in $\mathbb{R}^n$, and let $c\in(0,1)$ be a constant. I'm trying to find the asymptotics for the volume of the intersection $[\frac{c}{\sqrt{n}},1]^n\cap B$ as $n\rightarrow\i …