ShanzhongSUN

Expositions

(4) 申文;孙善忠;李勇;李镛;邸玥,Resurgence理论及其应用(Resurgence theory and its applications, in Chinese),首都师范大学学报(自然科学版),2024, 45(1):77-115.

(3) Long, Yiming; Sun, Shanzhong, 太阳系的稳定性:历史与现状(The stability of the solar system: History and current states, in Chinese), Sci China Math, 46(2016), 605-613.

(2) Hu, Xijun; Sun, Shanzhong, Variational principle and linear stability of periodic orbits in celestial mechanics, Progress in variational methods, 40-51, Nankai Ser. Pure Appl. Math.Theoret. Phys., 7, World Sci. Publ., Hackensack, NJ, 2011.

(1) Long, Yiming; Sun, Shanzhong, Collinear central configurations in celestial mechanics, Topological methods, variational methods and their applications (Taiyuan, 2002), 159-165, World Sci. Publ., River Edge, NJ, 2003.

Publications

(19) Sun Shanzhong; Wang Chenxi, A Weak ∞-Functor in Morse Theory, Acta Mathematica Sinica, English Series,Volume 40, pages 2571–2614, (2024) , arXiv:2208.11959.

(18) Li Yong; Sauzin David; Sun Shanzhong, On the Moyal Star Product of Resurgent Series, Annales de l’Institut Fourier, Tome 73, no. 5 (2023), pp. 1987-2027, arXiv:2012.15224.

(17) Sun Shanzhong; Xie Zhifu; You Peng, On the Uniqueness of Convex Central Configurations in the Planar 4-Body Problem, Regular and Chaotic Dynamics (2023, online first) , arXiv:2303.00201.

(16) Han Li; Li Yong; Sauzin David; Sun Shanzhong, Resurgence and Partial Theta Series, Fun. Anal. App. 57(2023), no.3, 89-112. Russian, English, arXiv:2112.15223

(15) Chenciner Alain; Sauzin David; Sun Shanzhong; Wei Qiaoling, Elliptic Fixed Points with an Invariant Foliation: Some Facts and More Questions, Regular and Chaotic Dynamics 27(2022), no. 1, 43–64. arXiv:2111.07714

(14) Sun Shanzhong; You Peng, Monodromy of complexified planar Kepler problem (in Chinese), Sci Sin Math, 52(2022), 257–268; English version: arXiv:2209.00146

(13) Huang Yonghong; Sun Shanzhong, Non-embedding theorems of nilpotent Lie groups and sub-Riemannian manifolds, Front. Math. China 15(2020), no. 1, 91-114. arXiv:1801.05626

(12) Li, Yong; Sauzin David; Sun, Shanzhong, The Baker-Campbell-Hausdorff formula via mould calculus, Letters in Math. Phys. 109(2019), 725–746. arXiv:1805.00766

(11) Sun, Shanzhong, Gutzwiller’s semiclassical trace formula and Maslov-type index theory for symplectic paths, J. Fixed Point Theory Appl. 19 (2017), no. 1, 299-343. arXiv:1608.08294

(10) Chen, Xiaojun; Her, Hai-Long; Sun, Shanzhong; Yang, Xiangdong, A double Poisson algebra structure on Fukaya categories, J. Geom. Phys. 98 (2015), 57-76. arXiv:1508.02115

(9) Chen, Xiaojun; Her, Hai-Long; Sun, Shanzhong, Lie bialgebra structure on cyclic cohomology of Fukaya categories, Front. Math. China 10 (2015), no. 5, 1057-1085.

(8) Hu, Xijun; Long, Yiming; Sun, Shanzhong, Linear stability of elliptic Lagrangian solutions of the planar three-body problem via index theory, Arch. Ration. Mech. Anal. 213 (2014),no. 3, 993-1045. arXiv:1206.6162

(7) Hu, Xijun; Sun, Shanzhong, Morse index and the stability of closed geodesics, Sci. China Math. 53 (2010), no. 5, 1207-1212.

(6) Hu, Xijun; Sun, Shanzhong, Morse index and stability of elliptic Lagrangian solutions in the planar three-body problem, Adv. Math. 223 (2010), no. 1, 98-119.

(5) Hu, Xijun; Sun, Shanzhong, Stability of relative equilibria and Morse index of central configurations, C. R. Math. Acad. Sci. Paris 347 (2009), no. 21-22, 1309-1312.

(4) Hu, Xijun; Sun, Shanzhong, Index and stability of symmetric periodic orbits in Hamiltonian systems with application to figure-eight orbit, Comm. Math. Phys. 290 (2009), no. 2,737-777.

(3) Albouy, Alain; Fu, Yanning; Sun, Shanzhong, Symmetry of planar four-body convex central configurations, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 464 (2008), no. 2093,1355-1365. arXiv:0706.1194

(2) Long, Yiming; Sun, Shanzhong, Collinear central configurations and singular surfaces in the mass space, Arch. Ration. Mech. Anal. 173 (2004), no. 2, 151-167.

(1) Long, Yiming; Sun, Shanzhong, Four-body central configurations with some equal masses, Arch. Ration. Mech. Anal. 162 (2002), no. 1, 25-44.

Preprints

Invited talks

Conference Organized

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