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pro vyhledávání: '"Nash, Evan D."'
Autor:
Battistella, Enzo, English, Sean, Green, Robert, Joslyn, Cliff, Lagoda, Evgeniya, Magnan, Van, Myers, Audun, Nash, Evan D., Robinson, Michael
Hypergraphs have been a recent focus of study in mathematical data science as a tool to understand complex networks with high-order connections. One question of particular relevance is how to leverage information carried in hypergraph attributions wh
Externí odkaz:
http://arxiv.org/abs/2405.04559
Autor:
Nash, Evan D., Nash
The first steps in defining a notion of spherical tropicalization were recently takenby Tassos Vogiannou in his thesis and by Kiumars Kaveh and Christopher Manonin a related paper. Broadly speaking, the classical notion of tropicalization concernsits
Autor:
Nash, Evan D.
The first steps in defining tropicalization for spherical varieties have been taken in the last few years. There are two parts to this theory: tropicalizing subvarieties of homogeneous spaces and tropicalizing their closures in spherical embeddings.
Externí odkaz:
http://arxiv.org/abs/1802.07586
Autor:
Améndola, Carlos, Bliss, Nathan, Burke, Isaac, Gibbons, Courtney R., Helmer, Martin, Hoşten, Serkan, Nash, Evan D., Rodriguez, Jose Israel, Smolkin, Daniel
We study the maximum likelihood degree (ML degree) of toric varieties, known as discrete exponential models in statistics. By introducing scaling coefficients to the monomial parameterization of the toric variety, one can change the ML degree. We sho
Externí odkaz:
http://arxiv.org/abs/1703.02251
We describe convex hulls of the simplest compact space curves, reducible quartics consisting of two circles. When the circles do not meet in complex projective space, their algebraic boundary contains an irrational ruled surface of degree eight whose
Externí odkaz:
http://arxiv.org/abs/1612.09382
Autor:
Nash, Evan D.
Recently, a theory for the tropicalization of a spherical homogeneous space $G/H$ was developed by Tassos Vogiannou. We extend his ideas to define the tropicalization of a spherical $G/H$-embedding. This generalizes the construction of tropicalizatio
Externí odkaz:
http://arxiv.org/abs/1609.07455
Autor:
Améndola, Carlos, Bliss, Nathan, Burke, Isaac, Gibbons, Courtney R., Helmer, Martin, Hoşten, Serkan, Nash, Evan D., Rodriguez, Jose Israel, Smolkin, Daniel
Publikováno v:
In Journal of Symbolic Computation May-June 2019 92:222-242
Publikováno v:
Proc. Amer. Math. Soc. 142 (2014), 4039-4051
We study the Betti tables of reducible algebraic curves with a focus on connected line arrangements and provide a general formula for computing the quadratic strand of the Betti table for line arrangements that satisfy certain hypotheses. We also giv
Externí odkaz:
http://arxiv.org/abs/1210.3064
We prove an upper bound for the number of edges a C4-free graph on q^2 + q vertices can contain for q even. This upper bound is achieved whenever there is an orthogonal polarity graph of a plane of even order q.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/1201.4912
Publikováno v:
Proceedings of the American Mathematical Society, 2014 Dec 01. 142(12), 4039-4051.
Externí odkaz:
http://www.jstor.org/stable/24507208