bio | website | eqnets.com |
---|---|---|
location | Inside the Beltway | |
age | ||
visits | member for | 5 years, 8 months |
seen | 10 hours ago | |
stats | profile views | 10,146 |
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 #).
Jun 22 |
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Stationary distribution for time-inhomogeneous Markov process
You might also find the multiplicative ergodic theorem helpful. |
Jun 22 |
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Stationary distribution for time-inhomogeneous Markov process
Consider a time-inhomogeneous Markov process $X_t$ on a finite state space. Let $Q(t)$ denote the generator, and let $P(s,t)$ denote the corresponding transition kernel, i.e. $P(s,t) = U^{-1}(s)U(t)$, where the Markov propagator is \begin{equation} U(t) := \mathcal{TO}^* \exp \int_0^t Q(s) \ ds, \end{equation} and $\mathcal{TO}^*$ indicates the formal adjoint or reverse time-ordering operator. Now an initial distribution $\pi(0)$ is propagated as $\pi(t) = \pi(0)U(t)$. (See, e.g., Kleinrock, L. Queueing Systems, vol. 1. Wiley (1975).) |
Jun 18 |
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Determinant Evaluation
Have you looked at Krattenthaler's papers on determinants? |
Jun 9 |
answered | A $d$-form on ${\mathbb R}^n$ that vanishes on $\binom{d+n-1}{n-1}$ general points, vanishes identically |
May 27 |
awarded | pr.probability |
May 19 |
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Smooth bivariate functions identifiable under permutations
For $f$ symmetric and otherwise nice you may want to consider it as a graphon, cf. people.math.osu.edu/glasscock.4/graphons.pdf |
May 12 |
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Regular epimorphisms in the category of simple undirected graphs
@DominicvanderZypen -- It doesn't answer the question: it merely reinforces Todd's comment and gives context along those lines. |
May 12 |
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Regular epimorphisms in the category of simple undirected graphs
combinatorics.org/ojs/index.php/eljc/article/view/v15i1a1 |
May 6 |
awarded | Nice Answer |
May 3 |
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Avoiding mean-curvature flow dumbbell neck-pinch by inflating a surface
en.wikipedia.org/wiki/Dilation_(morphology) |
Apr 28 |
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Group theory in machine learning
first-mm.eu/files/kersting2012ecai_faia.pdf |
Apr 28 |
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Finite-space dynamical systems
pub.uni-bielefeld.de/publication/2508475 |
Apr 26 |
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Decidability of $x^3+y^3+z^3 = c$
The latest relevant reference seems to be Elsenhans, A.-S. and Jahnel, J. "New sums of three cubes". Math. Comp. 78, 1227 (2009). |
Apr 26 |
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Decidability of $x^3+y^3+z^3 = c$
Poonen's article "Undecidability in number theory" begins: "Does the equation $x^3+y^3+z^3 = 29$ have a solution in integers? Yes: $(3, 1, 1)$, for instance. How about $x^3+y^3+z^3 = 30$? Again yes, although this was not known until 1999: the smallest solution is $(−283059965, −2218888517, 2220422932)$. And how about $x^3+y^3+z^3 = 33$? This is an unsolved problem." |
Apr 23 |
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Ordered lattice point enumeration
math.ucdavis.edu/~latte |
Apr 22 |
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A digraph related to permutations
mathoverflow.net/questions/49555 |
Apr 22 |
answered | Volume of a region given by a Constraint Satisfaction Problem |
Apr 9 |
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Deep Learning / Deep neural nets for mathematician
This is more for physicists but nevertheless looks like it should be pretty insightful: arxiv.org/abs/1410.3831 |
Apr 9 |
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When few simple conditions yield a unique intricate structure
It is worth pointing out that two of your examples (j-invariant and sporadic simple groups) are related through moonshine, as is the intricate structure of the Golay code. |
Apr 8 |
answered | Differential form equation in Bowen's lecture notes |