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Statistics of spectral properties of matrix-valued random variables.

1 vote
0 answers
65 views

Products of random permutations with fixed matrix

This question originates from an engineering problem, which I am solving. Any related references are highly appreciated. Let $M_k(T)=\prod_{t=1}^T P_t S_k$ over some field (finite or reals), where $P …
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3 votes
0 answers
82 views

Matroid rank decay

Consider a uniform vector matroid $M(0)=U_{m,n}$ of rank $m$ with $n$ points, $n>m>2$ (you can think of it as a set of $n$ points in general position in vector space $F^m$ for some large field $F$). W …
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  • 161