Henry Yuen
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 Mar 30 accepted Averages of vector inner products over the Haar measure Mar 30 comment Averages of vector inner products over the Haar measure Do you have a more precise estimate of the error (as a function of $d$) when you try to treat the elements of $\psi$ as independent Gaussians? Mar 30 comment Averages of vector inner products over the Haar measure Great, thanks! Where did you get the first formula, though? Also, as a followup: would you know what kind of measure of concentration is satisfied by these inner products? That is, what is the probability that $\mathrm{Tr}( \psi \psi^* \, \, w x^* \,\, \psi \psi^* \,\, y z^*)$ deviates from the average by more than some amount $\epsilon$? Mar 30 asked Averages of vector inner products over the Haar measure Sep 8 awarded Taxonomist Jul 10 awarded Nice Question Feb 27 revised A generalization of the Powers-Stormer inequality edited tags Feb 27 asked A generalization of the Powers-Stormer inequality Sep 24 awarded Autobiographer Jul 2 awarded Curious May 22 comment A measure of closure under sumset? Thanks, quid, for your answer, and the links to Hamidoune's work. May 22 accepted A measure of closure under sumset? May 22 revised A measure of closure under sumset? added 138 characters in body May 21 asked A measure of closure under sumset? Apr 22 awarded Yearling Oct 9 accepted Multivariate Hensel's Lemma, but with only one polynomial Oct 8 comment Multivariate Hensel's Lemma, but with only one polynomial I have a quick clarification question: When you say "Suppose $Q(X_1,\ldots,X_n)$ is in $I^t$", you mean suppose there is are $\beta_1,\ldots,\beta_n\in R$ such that $Q(\beta_1,\ldots,\beta_n)\in I^t$? And then every time you write $\frac{dQ}{dX_1}$, you mean it is evaluated at the $\beta_1,\ldots,\beta_n$? If that's the case, then I interpret the mod $I^{t+1}$ solution as $\beta_1 + a_1,\ldots,\beta_n+a_n$. Thanks! Oct 3 revised Multivariate Hensel's Lemma, but with only one polynomial edited title Oct 3 revised Multivariate Hensel's Lemma, but with only one polynomial deleted 4 characters in body Oct 3 accepted What is the relationship between singular value decomposition and solving linear systems?