47 citations · 47 across the 4 of their papers we have counts for
8 papers
A New Mechanism for Noncollision Singularities
Joseph Gerver, Guan Huang, Jinxin Xue
In this paper, we prove the existence of noncollision singularities in a planar four-body problem in a model different from [J. Xue,Acta Math.V224(2)253-388, 2020.]. In this model,…
Initial Perturbation of the Mean Curvature Flow for closed limit shrinker
Ao Sun, Jinxin Xue
This is a contribution to the program of dynamical approach to mean curvature flow initiated by Colding and Minicozzi. In this paper, we prove two main theorems. The first one is l…
Arnold diffusion and geodesic dynamics of blackholes
Jinxin Xue
In this paper, we study the chaotic motion of a massive particle moving in a perturbed Schwarzschild or Kerr background. We discover three novel orbits that do not exist in the unp…
KAM and geodesic dynamics of blackholes
Jinxin Xue
In this paper we apply KAM theory and the Aubry-Mather theory for twist maps to the study of bound geodesic dynamics of a perturbed blackhole background. The general theories apply…
Rigidity of some abelian-by-cyclic solvable group actions on
Amie Wilkinson, Jinxin Xue
In this paper, we study a natural class of groups that act as affine transformations of . We investigate whether these solvable, "abelian-by-cyclic," groups can act sm…
Floer homology in the cotangent bundle of a closed Finsler manifold and noncontractible periodic orbits
Wenmin Gong, Jinxin Xue
We show that the existence of noncontractible periodic orbits for compactly supported time-dependent Hamiltonian on the disk cotangent bundle of a Finsler manifold provided that th…