#302580 Overall Influence

American university teacher

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 and 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 there the Arthur and Gladys Pancoe Professor of Mathematics.

Source: Wikipedia- The Existence of Noncollision Singularities in Newtonian Systems
- Existence of invariant tori in volume-preserving diffeomorphisms
- Bifurcations of heteroclinic loops
- ð¶Â¹ Connecting Lemmas
- Central configurations with many small masses
- Melnikov method and transversal homoclinic points in the restricted three-body problem
- Convex central configurations for the n-body problem
- Homoclinic points in symplectic and volume-preserving diffeomorphisms
- Arnold diffusion in the elliptic restricted three-body problem
- Topological entropy and partially hyperbolic diffeomorphisms
- Existence of invariant tori in volume-preserving diffeomorphisms
- Bifurcations of heteroclinic loops
- ð¶Â¹ Connecting Lemmas
- Central configurations with many small masses
- Melnikov method and transversal homoclinic points in the restricted three-body problem
- Convex central configurations for the n-body problem
- Homoclinic points in symplectic and volume-preserving diffeomorphisms
- Arnold diffusion in the elliptic restricted three-body problem
- Topological entropy and partially hyperbolic diffeomorphisms
- Geometric expansion, Lyapunov exponents and foliations
- Partial hyperbolicity or dense elliptic periodic points for ð¶Â¹-generic symplectic diffeomorphisms
- Action-Minimizing Periodic and Quasi-Periodic Solutions in the $n$-body Problem
- The entropy conjecture for partially hyperbolic diffeomorphisms with 1-D center
- The existence of oscillatory and superhyperbolic motion in Newtonian systems
- Area-Preserving Surface Diffeomorphisms
- Hyperbolic invariant sets with positive measures
- Non-planar minimizers and rotational symmetry in the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>N</mml:mi></mml:math>-body problem
- ConleyâZehnder index and bifurcation of fixed points of Hamiltonian maps
- Homoclinic points for convex billiards
- Some of the problems that Saari didnât solve
- Heteroclinic orbits and chaotic invariant sets for monotone twist maps
- Stability of Elliptic Periodic Points with an Application to Lagrangian Equilibrium Solutions
- Homoclinic points and intersections of Lagrangian submanifold
- Subharmonic solutions in the restricted three-body problem
- Monitoring fog using FY-1D meteorological satellite
- ACrclosing lemma for a class of symplectic diffeomorphisms
- A BasicC1Perturbation Theorem
- Minimal measures for EulerâLagrange flows on finite covering spaces
- Instability of Periodic Orbits by ConleyâZehnder Index Theory
- Homoclinic intersections for geodesic flows on convex spheres
- Generic properties of symplectic diffeomorphisms
- Theorem of Existence and Uniqueness of Fixed Points of Monotone Operators
- EXPONENTIAL GROWTH RATE OF PATHS AND ITS CONNECTION WITH DYNAMICS
- The Non-collision Sigularities of the 5 body Problem
- Directions of Hamiltonian dynamics and celestial mechanics
- Resonance transition and instabilities; a numerical study of the restricted three-body problem
- Singularities in the Newtonian ð-body problem
- Existence of Invariant Tori for Certain Non-Symplectic Diffeomorphisms
- Symmetries in N-body problem

Nanjing University

Public university in Nanjing, China

Northwestern University

Private research university with campuses in Evanston and Chicago, Illinois, United States

#42261 World Rank

Mathematics

#383234 World Rank

Physics

#446861 World Rank

Economics

#555771 World Rank

History

#797155 World Rank

Literature

#1194569 World Rank

Engineering

Stay informed! Get the latest Academic Influence news, information, and rankings with our upcoming newsletter.