ngoc.bib

@article{tran2019finite,
  title = {The Finite Matroid-Based Valuation Conjecture is False},
  author = {Tran, Ngoc Mai},
  journal = {arXiv preprint arXiv:1905.02287},
  year = {2019}
}
@article{maazouz2019statistics,
  title = {Statistics of Gaussians on local fields and their tropicalizations},
  author = {Maazouz, Yassine El and Tran, Ngoc Mai},
  journal = {arXiv preprint arXiv:1909.00559},
  year = {2019}
}
@article{robeva2018maximum,
  title = {Maximum Likelihood Estimation for Totally Positive Log-Concave Densities},
  author = {Robeva, Elina and Sturmfels, Bernd and Tran, Ngoc and Uhler, Caroline},
  journal = {arXiv preprint arXiv:1806.10120},
  year = {2018},
  url = {https://arxiv.org/abs/1806.10120}
}
@article{tran2018tropical,
  title = {Tropical Gaussians: A Brief Survey},
  author = {Tran, Ngoc Mai},
  journal = {arXiv preprint arXiv:1808.10843},
  year = {2018},
  url = {https://arxiv.org/abs/1808.10843}
}
@article{lin2017linear,
  title = {Linear and Rational Factorization of Tropical Polynomials},
  author = {Lin, Bo and Tran, Ngoc Mai},
  journal = {arXiv preprint arXiv:1707.03332},
  year = {2017},
  url = {https://arxiv.org/abs/1707.03332}
}
@article{crowell2016tropical,
  title = {Tropical geometry and mechanism design},
  author = {Crowell, Robert Alexander and Tran, Ngoc Mai},
  journal = {arXiv preprint arXiv:1606.04880},
  year = {2016},
  url = {https://arxiv.org/abs/1606.04880}
}
@article{lin2017two,
  title = {Two-player incentive compatible outcome functions are affine maximizers},
  journal = {Linear Algebra and its Applications},
  volume = {578},
  pages = {133 - 152},
  year = {2019},
  issn = {0024-3795},
  doi = {https://doi.org/10.1016/j.laa.2019.04.027},
  url = {http://www.sciencedirect.com/science/article/pii/S0024379519301855},
  author = {Bo Lin and Ngoc Mai Tran},
  keywords = {Mechanism design, Roberts' theorem, Tropical geometry, Tropical determinant, Tropical hyperplane arrangement},
  abstract = {In mechanism design, for a given type space, there may be incentive compatible outcome functions which are not affine maximizers. Using tools from linear algebra and tropical geometry, we prove that for two-player games on a discrete type space, any given outcome function can be turned into an affine maximizer through a nontrivial perturbation of the type space. Furthermore, our theorems are the strongest possible in this setup.}
}
@article{mulas2017minimal,
  title = {Minimal Embedding Dimensions of Connected Neural Codes},
  author = {Mulas, Raffaella and Tran, Ngoc M},
  journal = {to appear in Journal of Algebraic Statistics},
  year = {2019},
  url = {https://arxiv.org/abs/1706.03999}
}
@article{haupt2017classification,
  title = {Classification on Large Networks: A Quantitative Bound via Motifs and Graphons},
  author = {Haupt, Andreas and Khatami, Mohammad and Schultz, Thomas and Tran, Ngoc Mai},
  journal = {to appear in Proceedings of the AWM research symposium},
  year = {2019},
  url = {https://arxiv.org/abs/1710.08878}
}
@article{baccelli2016iterated,
  title = {Iterated Gilbert mosaics},
  journal = {Stochastic Processes and their Applications},
  year = {2019},
  issn = {0304-4149},
  doi = {https://doi.org/10.1016/j.spa.2019.06.016},
  url = {http://www.sciencedirect.com/science/article/pii/S0304414918307476},
  author = {Francois Baccelli and Ngoc Mai Tran}
}
@article{johnson2018geometry,
  title = {Geometry and algorithms for upper triangular tropical matrix identities},
  journal = {Journal of Algebra},
  volume = {530},
  pages = {470 - 507},
  year = {2019},
  issn = {0021-8693},
  doi = {https://doi.org/10.1016/j.jalgebra.2019.03.024},
  url = {http://www.sciencedirect.com/science/article/pii/S0021869319301723},
  author = {Marianne Johnson and Ngoc Mai Tran}
}
@article{tran2015product,
  title = {Product-Mix Auctions and Tropical Geometry},
  author = {Tran, Ngoc Mai and Yu, Josephine},
  journal = {Mathematics of Operations Research},
  howpublished = {published online on August 1},
  url = {https://doi.org/10.1287/moor.2018.0975},
  year = {2019}
}
@article{tran2019principal,
  title = {Principal component analysis in an asymmetric norm},
  author = {Tran, Ngoc M and Burdejov{\'a}, Petra and Ospienko, Maria and H{\"a}rdle, Wolfgang K},
  journal = {Journal of Multivariate Analysis},
  volume = {171},
  pages = {1--21},
  year = {2019},
  publisher = {Elsevier},
  url = {https://www.sciencedirect.com/science/article/pii/S0047259X17303962}
}
@article{hillar2018robust,
  title = {Robust Exponential Memory in Hopfield Networks},
  author = {Hillar, Christopher J and Tran, Ngoc M},
  journal = {The Journal of Mathematical Neuroscience},
  volume = {8},
  number = {1},
  pages = {1},
  year = {2018},
  publisher = {SpringerOpen},
  url = {https://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0056-2}
}
@article{tran2017antibiotics,
  title = {Antibiotics Time Machines Are Hard to Build},
  author = {Tran, Ngoc M and Yang, Jed},
  journal = {Notices of the AMS},
  volume = {64},
  number = {10},
  year = {2017},
  url = {https://www.ams.org/publications/journals/notices/201710/rnoti-p1136.pdf}
}
@article{tran2017enumerating,
  title = {Enumerating polytropes},
  author = {Tran, Ngoc Mai},
  journal = {Journal of Combinatorial Theory, Series A},
  volume = {151},
  pages = {1--22},
  year = {2017},
  publisher = {Elsevier},
  url = {https://arxiv.org/abs/1310.2012}
}
@article{baccelli2016zeros,
  title = {Zeros of random tropical polynomials, random polygons and stick-breaking},
  author = {Baccelli, Francois and Tran, Ngoc M},
  journal = {Transactions of the American Mathematical Society},
  volume = {368},
  number = {10},
  pages = {7281--7303},
  year = {2016},
  url = {http://www.ams.org/journals/tran/2016-368-10/S0002-9947-2016-06565-4/home.html}
}
@article{tran2016hodgerank,
  title = {Hodgerank is the limit of Perron rank},
  author = {Tran, Ngoc Mai},
  journal = {Mathematics of Operations Research},
  volume = {41},
  number = {2},
  pages = {643--647},
  year = {2016},
  publisher = {INFORMS},
  url = {https://pubsonline.informs.org/doi/abs/10.1287/moor.2015.0744}
}
@article{morrison2016tropical,
  title = {The tropical commuting variety},
  author = {Morrison, Ralph and Tran, Ngoc M},
  journal = {Linear Algebra and its Applications},
  volume = {507},
  pages = {300--321},
  year = {2016},
  publisher = {Elsevier},
  url = {https://www.sciencedirect.com/science/article/abs/pii/S0024379516302142}
}
@article{pitman2015size,
  title = {Size-biased permutation of a finite sequence with independent and identically distributed terms},
  author = {Pitman, Jim and Tran, Ngoc M},
  journal = {Bernoulli},
  volume = {21},
  number = {4},
  pages = {2484--2512},
  year = {2015},
  publisher = {Bernoulli Society for Mathematical Statistics and Probability},
  url = {https://projecteuclid.org/euclid.bj/1438777602}
}
@article{tran2015perronrank,
  title = {The PerronRank family: a brief review},
  author = {Tran, Ngoc Mai},
  journal = {Evolutionary and Institutional Economics Review},
  volume = {12},
  number = {1},
  pages = {213--221},
  year = {2015},
  publisher = {Springer},
  url = {https://link.springer.com/article/10.1007/s40844-015-0007-0}
}
@inproceedings{fiete2014binary,
  title = {A binary Hopfield network with information rate and applications to grid cell decoding},
  author = {Fiete, IR and Schwab, DS and Tran, Ngoc Mai},
  booktitle = {Proceedings of the 2nd Workshop on Biological Distributed Algorithms. Austin, TX, USA},
  year = {2014},
  url = {https://arxiv.org/abs/1407.6029}
}
@article{tran2014polytropes,
  title = {Polytropes and tropical eigenspaces: cones of linearity},
  author = {Tran, Ngoc Mai},
  journal = {Discrete \& Computational Geometry},
  volume = {51},
  number = {3},
  pages = {539--558},
  year = {2014},
  publisher = {Springer},
  url = {https://link.springer.com/article/10.1007/s00454-014-9574-9}
}
@article{tran2013pairwise,
  title = {Pairwise ranking: Choice of method can produce arbitrarily different rank order},
  author = {Tran, Ngoc Mai},
  journal = {Linear Algebra and its Applications},
  volume = {438},
  number = {3},
  pages = {1012--1024},
  year = {2013},
  publisher = {Elsevier},
  url = {https://www.sciencedirect.com/science/article/pii/S0024379512006520}
}
@article{sturmfels2012combinatorial,
  title = {Combinatorial types of tropical eigenvectors},
  author = {Sturmfels, Bernd and Tran, Ngoc Mai},
  journal = {Bulletin of the London Mathematical Society},
  volume = {45},
  number = {1},
  pages = {27--36},
  year = {2012},
  publisher = {Oxford University Press},
  url = {https://academic.oup.com/blms/article-abstract/45/1/27/297656}
}
@article{cotton2008wolf,
  title = {Wolf Number, the Southern Oscillation Index and their Correlation to Rainfall in Sydney},
  author = {Cotton, Daniel V and Tran, Ngoc M and Waters, Colin L and others},
  year = {2008},
  publisher = {National Space Society of Australia},
  url = {http://hdl.handle.net/1959.13/44945}
}

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