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Computational Appendix "Empirical averages of the number of unramified
A4
extensions of imaginary quadratic fields"
with
Melanie Matchett Wood
This is an appendix to the paper
Nonabelian Cohen-Lenstra Moments by
Melanie Matchett Wood.
Accepted to Duke Mathematical Journal
arXiv:1702.04644
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Limiting empirical spectral distribution for the non-backtracking matrix of an
Erdos-Renyi random graph
with Ke Wang
arXiv:1710.11015
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Outliers in the spectrum for products of independent random matrices
with
Natalie Coston and
Sean O'Rourke.
arxiv:1711.07420
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Irreducibity of random polynomials
with Christian Borst, Evan Boyd, Claire Brekken, Samantha Solberg, and Melanie
Matchett Wood
Experimental
Mathematics, 27 (2018), no. 4, 498–506.
DOI
arXiv:1705.03709 [math.PR],
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Low-degree factors of random polynomials,
with Sean O'Rourke.
DOI
10.1007/s10959-018-0839-8
Journal of Theoretical
Probability
, 32(2), 1076-1104.
arXiv:1608.01938
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Spectra of nearly Hermitian random matrices,
with Sean O'Rourke.
Annales de l’Institut Henri
Poincaré (2017) Vol. 53, No. 3, 1241-1279.
DOI: 10.1214/16-AIHP754
arXiv:1510.00039 [math.PR].
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Universality of ESDs with small random noise; a stability approach
.
Annales de l’Institut Henri
Poincaré (2016) Vol. 52, No. 4, 1877-1896.
DOI: 10.1214/15-AIHP702
arXiv:1403.4593 [math.PR].
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General anesthesia suppresses normal heart rate variability in humans,
with Gerald Matchett.
Chaos
24, 023129 (2014).
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Convergence of the spectral measure of non normal matrices
, with Alice Guionnet and Ofer Zeitouni.
Proceedings of
the American Mathematical Society, 142 (2014), 667-679.
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Random doubly stochastic tridiagonal matrices, with Persi Diaconis.
Random
Structures & Algorithms, Volume 42, Issue 4, July 2013, Pages: 403-437.
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Universality and the circular law for sparse random matrices.
Annals of Applied Probability 2012, Vol 22, No. 3, 1266-1300.
- Mapping Incidences, with
Van H. Vu and Melanie Matchett Wood.
J. London Math. Soc. (2011) 84 (2): 433-445.
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On the singularity probability of discrete random matrices
, with Jean Bourgain and Van Vu.
Journal
of Functional Analysis 258 (2010), no.2, 559--603.
- On a conjecture of
Alon, with Linh Tran and Van Vu.
Journal
of Number Theory 129 (2009), no. 11, 2801--2807.
There is a related video
abstract that appears on the Journal of Number
Theory's YouTube Channel.
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The inverse Erdos-Heilbronn problem, with Van Vu.
Electronic Journal of Combinatorics Volume 16(1), 2009. 8 pages.
- Graph pegging numbers, with Geir Helleloid, Madeeha Khalid, and David Petrie Moulton.
Discrete Mathematics, 309 (2009), no. 8, 1971--1985.
- A translation method for finding combinatorial
bijections, with Doron Zeilberger.
Annals of
Combinatorics, Volume 13, Issue 3 (2009), 383--402.
Related maple code.
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Bijective proofs for Fibonacci identities related to Zeckendorf's
Theorem.
Fibonacci Quart. 45 (2007), no. 2, 138-145.
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A bijective proof of
$f_{n+4}+1f_{1}+2f_{2}+\ldots+nf_{n}=(n+1)f_{n+2}+3$.
Integers 6 (2006), A2, 4 pp.
- Operations
on well-covered graphs and the roller-coaster conjecture, (published under my former name: Philip Matchett).
Electron. J. Combin. 11
(2004), no. 1, Research Paper 45, 17 pp.
Other publications
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