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Results tagged with mg.metric-geometry
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user 83189
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
1
vote
Binary codes with upper and lower bound on pairwise distance
Instead of $\{0,1\}^n$, you may take as your code space a subset $S\subseteq\{0,1\}^n$ of diameter $D$. This will guarantee that, whatever code you define in $S$, its codewords will be at distance $\l …
- 503
1
vote
1
answer
224
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Lattice points in hypercubes
Let $ (\Lambda_n) $ be a family of lattices, $ \Lambda_n \subset \mathbb{Z}^n $, with $ \det\Lambda_n \sim n $ as $ n \to \infty $ (meaning $ \lim_{n\to\infty} n^{-1} \det\Lambda_n = 1$). I am interes …
- 2,183