Pattern Formation and Tropical Geometry by Nikita Kalinin, Nikita Kalinin

“…It was predicted by Dhar and Sadhu that sandpile patterns with line-like features may be described in terms of tropical geometry. We explain the main ideas and technical tools—tropical geometry and discrete superharmonic functions—used to rigorously establish certain properties of these patterns. …”
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Lefschetz (1,1)-theorem in tropical geometry by Philipp Jell, Johannes Rau, Kristin Shaw

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Phylogenetic trees and the tropical geometry of flag varieties by Christopher Manon

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Algebraic singularities of scattering amplitudes from tropical geometry by James Drummond, Jack Foster, Ömer Gürdoğan, Chrysostomos Kalousios

“…We argue that connections between cluster algebras and tropical geometry provide a natural language for postulating a finite alphabet for scattering amplitudes beyond six and seven points where the corresponding Grassmannian cluster algebras are finite. …”
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MODULI SPACES OF RATIONAL WEIGHTED STABLE CURVES AND TROPICAL GEOMETRY by RENZO CAVALIERI, SIMON HAMPE, HANNAH MARKWIG, DHRUV RANGANATHAN

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Tropical geometry and five dimensional Higgs branches at infinite coupling by Santiago Cabrera, Amihay Hanany, Futoshi Yagi

“…The new feature is achieved thanks to a concept in tropical geometry which is called stable intersection and allows for a computation of the Higgs branch to almost all the cases which were previously unknown for this three parameter family apart form certain small number of exceptional theories with low rank gauge group. …”
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On the decision boundaries of neural networks: a tropical geometry perspective by Alfarra, M, Bibi, A, Hammoud, H, Gaafar, M, Ghanem, B

“…This work tackles the problem of characterizing and understanding the decision boundaries of neural networks with piecewise linear non-linearity activations. We use tropical geometry, a new development in the area of algebraic geometry, to characterize the decision boundaries of a simple network of the form (Affine, ReLU, Affine). …”

Blast geometry survey in limestone quarry using Quarryman Pro / by Muhammad Izham Muhammad Zawaki, 1988-, Md. Nor Kamarudin, supervisor, Fakulti Geoinformasi dan Harta Tanah

Subjects: “…Tropical geometry…”

Blast geometry survey in limestone Quarry using Quarryman Pro [electronic resource] / by Muhammad Izham Muhammad Zawaki, 1988-, Md. Nor Kamarudin, supervisor, Fakulti Geoinformasi dan Harta Tanah

Subjects: “…Tropical geometry…”

Predicting need for heart failure advanced therapies using an interpretable tropical geometry-based fuzzy neural network by Yufeng Zhang, Keith D. Aaronson, Jonathan Gryak, Emily Wittrup, Cristian Minoccheri, Jessica R. Golbus, Kayvan Najarian

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Imputing Phylogenetic Trees Using Tropical Polytopes over the Space of Phylogenetic Trees by Ruriko Yoshida

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Clustering Methods over the Tropical Projective Torus by David Barnhill, Ruriko Yoshida

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A tropical view on Bruhat-Tits buildings and their compactifications by Werner Annette

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Tropical Oriented Matroids by Silke Horn

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Combinatorial aspects of scattering amplitudes: amplituhedra, T-duality, and cluster algebras by Parisi, M

Subjects: “…Scattering Amplitudes, N=4 Super Yang-Mills Theory, On-shell Methods, Grassmannians, Amplituhedron, Positive Geometries, Algebraic Combinatorics, Combinatorial Algebraic Geometry, Matroid and Positroid Theory, Tropical Geometry, and Cluster Algebras.…”

Tropical Ideals by Diane Maclagan, Felipe Rincón

“…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. We exploretheir rich combinatorial structure, and prove that they satisfy numerous properties analogous to classical ideals.…”
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A determinantal formula for circuits of integer lattices by Hossein Sabzrou

“…We explicitly compute the set of circuits of L in terms of maximal minors of B This has a variety of applications from toric to tropical geometry, from Gröbner to Graver bases, and from linear to binomial ideals.…”
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Hybrid models of the cell cycle molecular machinery by Ovidiu Radulescu, Sergei Vakulenko, Dima Grigoriev, Vincent Noel

“…We present an approach, inspired from tropical geometry ideas, allowing to reduce, hybridize and analyse cell cycle models consisting of polynomial or rational ordinary differential equations.…”
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A MODULI STACK OF TROPICAL CURVES by RENZO CAVALIERI, MELODY CHAN, MARTIN ULIRSCH, JONATHAN WISE

“…We contribute to the foundations of tropical geometry with a view toward formulating tropical moduli problems, and with the moduli space of curves as our main example. …”
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Universal Polynomials for Severi Degrees of Toric Surfaces by Federico Ardila, Florian Block

“…Our strategy is to use tropical geometry to express Severi degrees in terms of Brugallé and Mikhalkin's floor diagrams, and study those combinatorial objects in detail. …”
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