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Results tagged with matrices
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user 25511
Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
2
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Entropy of eigenvectors of a large matrix
My question pertains eigenvectors of matrices with somewhat evenly distributed entries.
Let $M$ be an $N \times N$ matrix with complex entries (think of $N$ as a large integer). …
- 2,696
13
votes
2
answers
651
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Closure of the orbits of the $SL(2,\mathbb{Z})$-action on $\mathbb{R}^2$
I'm coming with a very basic question for which I can't find an answer. Please forgive me if I didn't search efficiently enough.
What can the closure of an orbit of an element $X$ of $\mathbb{R}^2$ u …
- 2,696
10
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4
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When are those subgroups of $\mathrm{SL}(2, \mathbb{C})$ discrete?
Let $A = \pmatrix{1 & 0 \\ \alpha & 1} $ and $ B = \pmatrix{1 & 1 \\ 0 & 1}$, where $\alpha \in \mathbb{C}$ is a complex parameter.
Now consider the family of representations $r_{\alpha}$ of the fre …
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