Chang, Ke-Ming; Chen, Kuo-Chang Toward finiteness of central configurations for the planar six-body problem by symbolic computations. I: Determine diagrams and orders. (English) Zbl 07799837 J. Symb. Comput. 123, Article ID 102277, 38 p. (2024). MSC: 70-08 70F10 68W30 05C90 14T90 PDFBibTeX XMLCite \textit{K.-M. Chang} and \textit{K.-C. Chen}, J. Symb. Comput. 123, Article ID 102277, 38 p. (2024; Zbl 07799837) Full Text: DOI
Borinsky, Michael; Munch, Henrik J.; Tellander, Felix Tropical Feynman integration in the Minkowski regime. (English) Zbl 07752463 Comput. Phys. Commun. 292, Article ID 108874, 23 p. (2023). MSC: 70-XX 00-XX PDFBibTeX XMLCite \textit{M. Borinsky} et al., Comput. Phys. Commun. 292, Article ID 108874, 23 p. (2023; Zbl 07752463) Full Text: DOI arXiv
Deng, Yiyang; Hampton, Marshall Finiteness of spatial central configurations with fixed subconfigurations. (English) Zbl 1528.70016 SIAM J. Appl. Algebra Geom. 7, No. 3, 610-622 (2023). Reviewer: Xiang Yu (Chengdu) MSC: 70F10 37N05 PDFBibTeX XMLCite \textit{Y. Deng} and \textit{M. Hampton}, SIAM J. Appl. Algebra Geom. 7, No. 3, 610--622 (2023; Zbl 1528.70016) Full Text: DOI
Jensen, Anders N.; Leykin, Anton Smale’s 6th problem for generic masses. arXiv:2301.02305 Preprint, arXiv:2301.02305 [math.AG] (2023). MSC: 70F15 14T90 14Qxx BibTeX Cite \textit{A. N. Jensen} and \textit{A. Leykin}, ``Smale's 6th problem for generic masses'', Preprint, arXiv:2301.02305 [math.AG] (2023) Full Text: arXiv OA License
Nayak, Abhilash C-space analysis using tropical geometry. (English) Zbl 1509.14122 Holderbaum, William (ed.) et al., 2nd IMA conference on mathematics of robotics. Selected papers, online from Manchester, UK, September 8–10, 2021. Cham: Springer. Springer Proc. Adv. Robot. 21, 98-106 (2022). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 14T90 70B15 14H20 PDFBibTeX XMLCite \textit{A. Nayak}, Springer Proc. Adv. Robot. 21, 98--106 (2022; Zbl 1509.14122) Full Text: DOI
Bao, Jiakang; He, Yang-Hui; Zahabi, Ali Mahler measure for a quiver symphony. (English) Zbl 1502.81054 Commun. Math. Phys. 394, No. 2, 573-624 (2022). MSC: 81T13 70S15 16G20 11R06 14T90 43A40 82B26 PDFBibTeX XMLCite \textit{J. Bao} et al., Commun. Math. Phys. 394, No. 2, 573--624 (2022; Zbl 1502.81054) Full Text: DOI arXiv
Henke, Niklas; Papathanasiou, Georgios Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry. (English) Zbl 1476.81118 J. High Energy Phys. 2021, No. 10, Paper No. 7, 61 p. (2021). MSC: 81T40 81T60 81U20 70S15 14T90 PDFBibTeX XMLCite \textit{N. Henke} and \textit{G. Papathanasiou}, J. High Energy Phys. 2021, No. 10, Paper No. 7, 61 p. (2021; Zbl 1476.81118) Full Text: DOI arXiv
Inoue, Rei; Kuniba, Atsuo; Takagi, Taichiro Integrable structure of box-ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry. (English) Zbl 1248.37002 J. Phys. A, Math. Theor. 45, No. 7, Article ID 073001, 64 p. (2012). Reviewer: Willard Miller jun. (Minneapolis) MSC: 37-02 37K20 81R12 70H06 82B23 81R50 17B37 37B15 PDFBibTeX XMLCite \textit{R. Inoue} et al., J. Phys. A, Math. Theor. 45, No. 7, Article ID 073001, 64 p. (2012; Zbl 1248.37002) Full Text: DOI arXiv
Hampton, Marshall; Jensen, Anders Finiteness of spatial central configurations in the five-body problem. (English) Zbl 1270.70038 Celest. Mech. Dyn. Astron. 109, No. 4, 321-332 (2011). MSC: 70F10 PDFBibTeX XMLCite \textit{M. Hampton} and \textit{A. Jensen}, Celest. Mech. Dyn. Astron. 109, No. 4, 321--332 (2011; Zbl 1270.70038) Full Text: DOI
Hampton, Marshall Finiteness of kite relative equilibria in the five-vortex and five-body problems. (English) Zbl 1195.70020 Qual. Theory Dyn. Syst. 8, No. 2, 349-356 (2010). MSC: 70F10 70F15 37N05 14T05 PDFBibTeX XMLCite \textit{M. Hampton}, Qual. Theory Dyn. Syst. 8, No. 2, 349--356 (2010; Zbl 1195.70020) Full Text: DOI
Litvinov, G. L. Tropical mathematics, classical mechanics and geometry. arXiv:1001.4247 Preprint, arXiv:1001.4247 [math.RA] (2010). MSC: 81Q20 14M25 16S80 70H20 14T05 46S10 51P05 52A20 BibTeX Cite \textit{G. L. Litvinov}, ``Tropical mathematics, classical mechanics and geometry'', Preprint, arXiv:1001.4247 [math.RA] (2010) Full Text: arXiv OA License