Zhihong Xia | Academic Influence

Zhihong Xia's AcademicInfluence.com Rankings

Zhihong Xia

Mathematics

#4070

World Rank

#5862

Historical Rank

#1438

USA Rank

Measure Theory

#4629

World Rank

#5419

Historical Rank

#1285

USA Rank

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Mathematics

Zhihong Xia's Degrees

PhD Mathematics Princeton University
Masters Mathematics Princeton University
Bachelors Mathematics Peking University

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Why Is Zhihong Xia Influential?

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According to Wikipedia, Zhihong "Jeff" Xia is a Chinese-American mathematician. Education and career Xia received, in 1982, from Nanjing University a bachelor's degree in astronomy and in 1988, a PhD in mathematics from Northwestern University with thesis advisor Donald G. Saari, for his thesis, The Existence of the Non-Collision Singularities. From 1988 to 1990, Xia was an assistant professor at Harvard University and from 1990 to 1994, an associate professor at Georgia Institute of Technology . In 1994, he became a full professor at Northwestern University and since 2000, he has been the Arthur and Gladys Pancoe Professor of Mathematics.

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Zhihong Xia's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The existence of noncollision singularities in newtonian systems (1992) (168)
Existence of invariant tori in volume-preserving diffeomorphisms (1992) (104)
Central configurations with many small masses (1991) (76)
$C^1$ Connecting Lemmas (2000) (67)
Bifurcations of heteroclinic loops (1998) (66)
Off to infinity in finite time (1995) (62)
Melnikov method and transversal homoclinic points in the restricted three-body problem (1992) (52)
Arnold diffusion: a variational construction. (1998) (49)
Convex central configurations for the n-body problem☆ (2004) (45)
Arnold Diffusion and Oscillatory Solutions in the Planar Three-Body Problem (1994) (42)
Geometric expansion, Lyapunov exponents and foliations (2006) (39)
Homoclinic points in symplectic and volume-preserving diffeomorphisms (1996) (38)
Topological entropy and partially hyperbolic diffeomorphisms (2006) (38)
Partial hyperbolicity or dense elliptic periodic points for C 1-generic symplectic diffeomorphisms (2006) (32)
Arnold diffusion in the elliptic restricted three-body problem (1993) (29)
The existence of oscillatory and superhyperbolic motion in Newtonian systems (1989) (25)
The entropy conjecture for partially hyperbolic diffeomorphisms with 1-D center (2010) (19)
Action-Minimizing Periodic and Quasi-Periodic Solutions in the $n$-body Problem (2012) (17)
Celestial Mechanics: Dedicated to Donald Saari for his 60th Birthday (2002) (16)
Area-Preserving Surface Diffeomorphisms (2005) (16)
Hyperbolic invariant sets with positive measures (2005) (13)
Hamiltonian Dynamics and Celestial Mechanics (1996) (11)
A Cr closing lemma for a class of symplectic diffeomorphisms (2005) (8)
Some of the problems that Saari did not solve (2002) (8)
Homoclinic Points For Area-Preserving Surface Diffeomorphisms (2006) (7)
Homoclinic points for convex billiards (2013) (7)
Non-planar minimizers and rotational symmetry in the N-body problem (2005) (5)
Singularities in the Newtonian n-body Problem (1996) (5)
Stability of Elliptic Periodic Points with an Application to Lagrangian Equilibrium Solutions (2013) (5)
Conley–Zehnder index and bifurcation of fixed points of Hamiltonian maps (2017) (5)
Heteroclinic orbits and chaotic invariant sets for monotone twist maps (2002) (4)
A BasicC1Perturbation Theorem (1999) (4)
Subharmonic solutions in the restricted three-body problem (1995) (4)
Homoclinic points and intersections of Lagrangian submanifold (1999) (4)
The Existence of the Non-Collision Singularities in Newtonian System. (1989) (3)
A basic C^1 perturbation theorem (1999) (3)
Existence of Invariant Tori for Certain Non-Symplectic Diffeomorphisms (1995) (2)
A fixed point theorem for twist maps (2021) (2)
Symmetries in N-body problem (2008) (2)
Theorem of Existence and Uniqueness of Fixed Points of Monotone Operators (2014) (2)
Calibration of the angular momenta of the minor planets in the solar system (2019) (2)
Homoclinic intersections for geodesic flows on convex spheres (2016) (1)
Minimal measures for Euler–Lagrange flows on finite covering spaces (2016) (1)
Hamiltonian dynamics and celestial mechanics: a Joint Summer Research Conference n Hamiltonian Dynamics and Celestial Mechanics, June 25-29, 1995, Seattle, Washington (1996) (1)
Apsidal asymmetric-alignment of Jupiter Trojans (2021) (1)
Machine learning prediction for mean motion resonance behaviour - The planar case (2022) (1)
Applying the symmetry groups to study the n body problem (2021) (1)
A simpler proof of the C 1 connecting lemma (2019) (0)
Symmetry in n-body problem via group representations (2021) (0)
TOPOLOGICAL ENTROPY AND PARTIALLY HYPERBOLIC (2006) (0)
A Basic to C 1 Connecting (1997) (0)
TRANSITIVITY OF SYMPLECTIC DIFFEOMORPHISMS (2015) (0)
The Sixth International Conference on Recent Advances in Applied Dynamical Systems (2012) (0)
The Non-collision Sigularities of the 5 body Problem (1991) (0)
Stability of Elliptic Periodic Points with an Application to Lagrangian Equilibrium Solutions (2012) (0)
Leap-frog neural network for learning the symplectic evolution from partitioned data (2022) (0)
Mean plane of the Kuiper belt beyond 50 AU in the presence of Planet 9 (2020) (0)
Asymmetry in the number of L4 and L5 Jupiter Trojans driven by jumping Jupiter (2022) (0)
A $C^{\infty}$ closing lemma on torus (2021) (0)
GEOMETRIC EXPANSION, LYAPUNOV EXPONENTS AND (2006) (0)
Arnold diffusion with degenracies in Hamiltonian systems: Vol. 1: Mathematics, Economics, and Engineering (1995) (0)
The invasion of a free floating planet and the number asymmetry of Jupiter Trojans (2023) (0)
Generic Properties of Symplectic Diffeomorphisms: Fields Institute Communication 48 (2006) (0)
Existence of invariant tori for certain non-symnplectic diffeomorphisms: The IMA Volumes in Mathematics and Its Application (1995) (0)
Action and periodic orbits on annulus (2021) (0)

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