Zhihong "Jeff" Xia (chinês : 夏志宏, pinyin : Xia Zhihong ; Dongtai , Jiangsu , China , 20 de setembro de 1962 ) é um matemático sino -estadunidense .
Construção de Xia provando a conjectura de Painlevé Xia obteve um bacharelado em astronomia 1982 na Universidade de Nanquim e um PhD em matemática em 1988 na Universidade Northwestern , orientado por Donald Gene Saari , com a tese The Existence of the Non-Collision Singularities .[ 1] Universidade Harvard e de 1990 a 1994 professor associado no Instituto de Tecnologia da Geórgia . Em 1994 tornou-se professor titular da Universidade Northwestern, sendo desde 2000 Arthur and Gladys Pancoe Professor of Mathematics .[ 2]
Em 1993 foi o ganhador inaugural do Prêmio Blumenthal da American Mathematical Society . Foi palestrante convidado do Congresso Internacional de Matemáticos em Berlim (1998).[ 3]
Xia, Zhihong (1992). «The Existence of Noncollision Singularities in Newtonian Systems». Annals of Mathematics . Series 2. 135 (3): 411–468. JSTOR 2946572 . doi :10.2307/2946572 Xia, Zhihong (1992). «Existence of invariant tori in volume-preserving diffeomorphisms». Ergodic Theory and Dynamical Systems . 12 (3): 621–631. doi :10.1017/S0143385700006969 Xia, Zhihong (1992). «Melnikov method and transveral homoclinic points in the restricted three-body problem» (PDF) . Journal of Differential Equations . 96 (1): 170–184. Bibcode :1992JDE....96..170X . doi :10.1016/0022-0396(92)90149-H Saari, Donald G.; Xia, Zhihong (1993). «Off to Infinity in Finite Time» (PDF) . Notices of the AMS . 42 : 538–546 Xia, Z (1994). «Arnold diffusion and oscillatory solutions in the planar three-body problem». Journal of Differential Equations . 110 (2): 289–321. Bibcode :1994JDE...110..289X . doi :10.1006/jdeq.1994.1069 Saari, Donald G; Xia, Zhihong (1996). «Singularities in the Newtonian 𝑛-body problem» . Hamiltonian Dynamics and Celestial Mechanics . Col: Contemporary Mathematics. 198 . [S.l.]: American Mathematical Society. pp. 21–30. CiteSeerX 10.1.1.24.1325 ISBN 9780821805664 . doi :10.1090/conm/198/02493 Xia, Zhihong (1996). «Homoclinic points in symplectic and volume-preserving diffeomorphisms». Communications in Mathematical Physics . 177 (2): 435–449. Bibcode :1996CMaPh.177..435X . doi :10.1007/BF02101901 Zhu, Deming; Xia, Zhihong (1998). «Bifurcations of heteroclinic loops». Science in China Series A: Mathematics . 41 (8): 837–848. Bibcode :1998ScChA..41..837Z . doi :10.1007/BF02871667 Xia, Zhihong (2004). «Convex central configurations for the n-body problem». Journal of Differential Equations . 200 (2): 185–190. Bibcode :2004JDE...200..185X . doi :10.1016/j.jde.2003.10.001 Xia, Zhihong (2006). «Area-preserving surface diffeomorphisms». Communications in Mathematical Physics . 263 (3): 723–735. Bibcode :2006CMaPh.263..723X . CiteSeerX 10.1.1.235.4920 arXiv :math/0503223 doi :10.1007/s00220-005-1514-3 Saghin, Radu; Xia, Zhihong (2009). «Geometric expansion, Lyapunov exponents and foliations» (PDF) . Annales de l'Institut Henri Poincaré C . 26 (2): 689–704. Bibcode :2009AIHPC..26..689S . doi :10.1016/j.anihpc.2008.07.001 Xia, Zhihong; Zhang, Pengfei (2014). «Homoclinic points for convex billiards». Nonlinearity . 27 (6): 1181–1192. arXiv :1310.5279 doi :10.1088/0951-7715/27/6/1181 Xia, Zhihong; Zhang, Pengfei (2017). «Homoclinic intersections for geodesic flows on convex spheres» . Dynamical Systems, Ergodic Theory, and Probability: in Memory of Kolya Chernov 698 . [S.l.]: American Mathematical Society. pp. 221–238 
