Results 11 to 20 of about 7,347 (247)
Phylogenetic trees and the tropical geometry of flag varieties [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We will discuss some recent theorems relating the space of weighted phylogenetic trees to the tropical varieties of each flag variety of type A. We will also discuss the tropicalizations of the functions corresponding to semi-standard tableaux, in ...
Christopher Manon
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Discrete Mathematics & Theoretical Computer Science, 2020 We introduce and study a special class of ideals over the semiring of tropical polynomials, which we calltropical ideals, with the goal of developing a useful and solid algebraic foundation for tropical geometry.
Diane Maclagan, Felipe Rincón
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A Bit of Tropical Geometry [PDF]
The American Mathematical Monthly, 2014 27 pages, 19 ...
Erwan Brugallé, Kristin M. Shaw
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Tropical Oriented Matroids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Tropical oriented matroids were defined by Ardila and Develin in 2007. They are a tropical analogue of classical oriented matroids in the sense that they encode the properties of the types of points in an arrangement of tropical hyperplanes – in much the
Silke Horn
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Lefschetz (1,1)-theorem in tropical geometry [PDF]
Épijournal de Géométrie Algébrique, 2018 For a tropical manifold of dimension n we show that the tropical homology classes of degree (n-1, n-1) which arise as fundamental classes of tropical cycles are precisely those in the kernel of the eigenwave map.
Philipp Jell, Johannes Rau, Kristin Shaw
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Dissimilarity Vectors of Trees and Their Tropical Linear Spaces (Extended Abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We study the combinatorics of weighted trees from the point of view of tropical algebraic geometry and tropical linear spaces. The set of dissimilarity vectors of weighted trees is contained in the tropical Grassmannian, so we describe here the tropical ...
Benjamin Iriarte Giraldo
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Pattern Formation and Tropical Geometry
Frontiers in Physics, 2020 Sandpile models exhibit fascinating pattern structures: patches, characterized by quadratic functions, and line-shaped patterns (also called solitons, webs, or linear defects).
Nikita Kalinin, Nikita Kalinin
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Algebraic singularities of scattering amplitudes from tropical geometry
Journal of High Energy Physics, 2021 We address the appearance of algebraic singularities in the symbol alphabet of scattering amplitudes in the context of planar N $$ \mathcal{N} $$ = 4 super Yang-Mills theory.
James Drummond +3 more
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On Rational Equivalence in Tropical Geometry [PDF]
Canadian Journal of Mathematics, 2016 AbstractThis article discusses the concept of rational equivalence in tropical geometry (and replaces an older, imperfect version). We give the basic definitions in the context of tropical varieties without boundary points and prove some basic properties.
Allermann, Lars +2 more
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Estimates of tropical cyclone geometry parameters based on best-track data [PDF]
Natural Hazards and Earth System Sciences, 2019 Parametric wind profiles are commonly applied in a number of engineering applications for the generation of tropical cyclone (TC) wind and pressure fields.
K. Nederhoff +3 more
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