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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? |