2,259 reputation
429
bio website dustingmixon.wordpress.com
location Air Force Institute of Technology
age 31
visits member for 2 years, 7 months
seen 8 hours ago

I am an assistant professor at the Air Force Institute of Technology. My research tends to involve matrix design and algorithms for modern inverse problems.


Jul
16
answered Maximal $\pi/2$-separated subset of the sphere
Jul
7
answered Uniform Sampling Subject to Linear Equalities and Non-Negativity Constraint
Jul
1
accepted Can phase significantly concentrate a function's spectrum?
Jul
1
comment Can phase significantly concentrate a function's spectrum?
@RajeshD - My motivation is to find better uncertainty principles, which definitely find applications in signal processing (analyzing sparse signals, compressed sensing, etc).
Jul
1
answered Convergence of weighted double sum of random variables
Jul
1
revised Generate Bernoulli vector with given covariance matrix
added 10 characters in body
Jul
1
answered Generate Bernoulli vector with given covariance matrix
Jun
30
comment Can phase significantly concentrate a function's spectrum?
@WillSawin - I have a lot more intuition about the Fourier transform of $\sin(2\pi n\cdot)$ than I do about $f_n$. Perhaps you conflated the two?
Jun
30
comment Can phase significantly concentrate a function's spectrum?
Thanks! I'm not sure I agree with your gut, though. Taking $x_a(t):=\operatorname{sin}(2\pi at/n)$, simulations suggest that $\inf_{a,n}\|F_nx_a\|_1/\|F_n|x_a|\|_1=\pi/4$, where $F_n$ denotes the DFT over $\mathbb{Z}/n\mathbb{Z}$.
Jun
30
revised Can phase significantly concentrate a function's spectrum?
added 237 characters in body
Jun
29
asked Can phase significantly concentrate a function's spectrum?
Jun
29
awarded  Nice Answer
Jun
29
accepted Does $(\mathbb{Z}/n\mathbb{Z})^2$ ever admit a difference set when $n$ is odd?
Jun
28
reviewed Approve Inverse Galois Problem…and parallelizable vector fields?
Jun
28
comment Largest symmetric matrix given rank
Good point. I updated my answer accordingly.
Jun
28
revised Largest symmetric matrix given rank
added 72 characters in body
Jun
28
answered Largest symmetric matrix given rank
Jun
27
answered Vanishing Restricted Isometric Constant
Jun
27
answered How to explain the concentration-of-measure phenomenon intuitively?
Jun
5
answered Packing obtuse vectors in $\mathbb{R}^d$