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Mathematics
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D Poole
  • Member for 11 years, 2 months
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I am currently a Math PhD student at The Ohio State University. I am interested in combinatorial probability, particularly random graphs. My dissertation will be on the likely structure of random d-uniform hyper graphs and random directed graphs.

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31
Which is the explanation of the identity $\sum_{k=0}^n {n \choose k}k^2 = 2^{n-2}n(n+1)$?
Jun 3, 2016
answer
17
Examples of problems that are easier in the infinite case than in the finite case.
Aug 12, 2016
answer
16
Exact probability of random graph being connected
Dec 5, 2013
answer
13
Expectation number of cycles in a Erdős–Rényi random directed graph $G(n,p)$
Mar 26, 2014
answer
6
black and white balls in the box
Jul 17, 2013
answer
6
Combinatorial identity $\sum\limits_{k=0}^{n}\frac{n-k}{k+1}\binom{n}{k}^2 = \binom{2n}{n-1}$
Jun 20, 2016
answer
6
Prove $\lim_{n\to\infty} \frac{a_n}{n}$ exists for positive sequence where $a_{n+m} \leq a_n + a_m$
Jun 1, 2016
answer
5
Show $y = \sum_{k=1}^\infty \frac{k^{k-1}}{k!} x^k$ satisfies $ye^{-y} = x$.
Mar 6, 2017
answer
5
Convergence of $\int_{-\infty}^{\infty} \sin p(x)\,dx$ where $p$ is a polynomial with $\deg p>1$
Aug 23, 2013
answer
5
Expected shortest path in random graph
Sep 28, 2013