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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.

4 votes
1 answer
266 views

Subspaces with all vectors having large $\|x\|_{\infty}/\|x\|_2$ value

I am able to show that any $k$-dimensional subspace of $\mathbf{R}^{Ck\log(k)}$ must contain a unit vector $x$ such that $\|x\|_{\infty} \ge c\sqrt{1/\log(k)}$ for a small enough constant $c$. But is …