8,331 reputation
23279
bio website eqnets.com
location Inside the Beltway
age
visits member for 5 years, 3 months
seen 1 hour ago

My mathematically-oriented work generally explores discrete geometric and probabilistic themes in physics, computation, and communication. Jack of most trades, master of none.

I can be reached at s.huntsman.1#alumni#nyu#edu (make the obvious substitutions for #).


Jan
26
comment What are the products $\prod_{A\subset{\mathbb F}_p\colon |A|=n} \sum_{a\in A} \zeta^a$ equal to?
My quick and dirty MATLAB code was "z = exp(2*pi*i/p); A = nchoosek(1:p,n); S = sum(z.^A,2); P = prod(S);" and this was supplemented by OEIS. Of course a symbolic approach is really better here...
Jan
23
comment What are the products $\prod_{A\subset{\mathbb F}_p\colon |A|=n} \sum_{a\in A} \zeta^a$ equal to?
@Seva, oh, you're right. The $11^{10}$ example would be in conflict, but I didn't restrict $p$ to be prime or even a prime power. This took me only five lines of MATLAB that could fit here, but it will have to wait until I remember to post it from a computer elsewhere.
Jan
23
comment What are the products $\prod_{A\subset{\mathbb F}_p\colon |A|=n} \sum_{a\in A} \zeta^a$ equal to?
Up to sign, they appear to be powers of primes, at least for p, n small. I notice $2^7$, $3^8$, $11^{10}$, and $19^9$ cropping up. In particular, $\mathcal{P}_p(n)$ appears to be zero or of the form $\pm q^p$ for $q$ apparently prime (or unity).
Jan
12
comment Uniqueness in martingale representation theorem
Smack my head...
Jan
12
comment Uniqueness in martingale representation theorem
Doesn't $Y = 1$ work?
Jan
7
comment Schrodinger equation with magnetic vector potential
Do you mean operator splitting?
Jan
6
awarded  Nice Answer
Dec
20
awarded  Enlightened
Dec
20
awarded  Nice Answer
Dec
19
answered Diagonalization of the matrix $(1/(i+j+\rm{const}))_{i,j}$
Dec
13
answered Time estimate to determine if a number is prime
Dec
13
comment Moments of random special unitary matrices
Such integrals crop up in lattice gauge theory, for which see, e.g. Creutz's book.
Nov
28
accepted What is the best way to peel fruit?
Nov
28
awarded  Good Question
Nov
26
comment Equitably distributed curve on a sphere
Also, this appears to be in a similar (though also clearly distinct) vein to mathoverflow.net/questions/26212
Nov
26
comment Equitably distributed curve on a sphere
Why must you have a great circle if $L = 2 \pi$?
Nov
25
comment Worst-Case Solution to (Stochastic) Matrix Inequality
It might help to reformulate your desired conclusion in terms of a mixing time.
Nov
22
comment What is the computational complexity to compute the integral numerically?
dx.doi.org/10.1007/s00211-009-0284-9
Nov
22
comment What is the computational complexity to compute the integral numerically?
arxiv.org/abs/0809.2083
Nov
14
comment Determinant of matrix from set {-1, 1}
The original version of the question could be answered with two words: Hadamard matrix.