On random sections of the cube

Yossi Lonke

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arXiv · math/9812123

On random sections of the cube

Yossi Lonke

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Abstract

Let $f(j,k,n)$ denote the expected number of $j$-faces of a random $k$-section of the $n$-cube. A formula for $f(0,k,n)$ is presented, and for $j\geq 1$, a lower bound for $f(j,k,n)$ is derived, which implies a precise asymptotic formula for $f(n-m,n-l,n)$ when $1\leq l<m$ are fixed integers and $n\to\8$.

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Yossi Lonke. 1998-12-21. On random sections of the cube. https://arxiv.org/abs/math/9812123

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