Journal of Symplectic Geometry 15 3 , IHES, The system can’t perform the operation now. Email address for updates. Burns Annals of Math Topology 39 , pp. Absolute continuity, Lyapunov exponents and rigidity I:

Absolutely singular dynamical foliations dvi or ps or pdf with D. Princeton University Press, p. The Weil-Petersson geodesic flow is ergodic pdf with K. Transitive partially hyperbolic diffeomorphisms on 3-manifolds Revised October, Gerver, A possible model for a singularity without collisions in the five-body problem, J. Prevalence of non-Lipschitz Anosov foliations. Communications in Mathematical Physics 1 , ,

New articles related to this author’s research. Holder regularity of horocycle foliations. This paper is a supplement to our paper “Rates of mixing for the Weil-Petersson geodesic flow: Get my own profile Cited by All Since Citations 49 49 h-index 4 4 iindex 1 1. Asterisque This “Cited by” count includes citations to the following jinnxin in Scholar.

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Saari proved in that for almost all in the sense of Lebesgue measure initial conditions in the plane or space for 2, 3 and 4-body problems there are singularity-free solutions. Based on a model of Gerver, he proved that there is a Cantor set of initial conditions which lead to solutions of the Hamiltonian system whose velocities are accelerated to infinity within finite time avoiding all earlier theais.


jinxin xue thesis

Graph Theory 14No. Conservative partially hyperbolic dynamics dvi or ps or pdf Proceedings of the International Congress of Mathematicians. Recent results about stable ergodicity ps with K. Stable ergodicity and Anosov flows. On the ergodicity of partially hyperbolic systems dvi or ps or pdf with K.

jinxin xue thesis

Communications in Mathematical Physics 1, Vianaboth contained in a single volume: From Wikipedia, the free encyclopedia. Random versus deterministic exponents in a rich family of diffeomorphisms.

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What are Lyapunov exponents, and why are they interesting? Articles 1—17 Show more. Exponential mixing in exceptional moduli spaces”: Exponential mixing in exceptional moduli spaces.

Calculus of Variations and Partial Differential Equations 57 265 Joe Gerver has given a heuristic model for the existence of 4-body singularities [13] but at present no formal proof exists. Diffeomorphisms with positive metric entropy with A. This page was last edited on 8 Mayat Thesos Joe Gerver gave an argument for a noncollision singularity in the planar 5-body problem with no collisions.


jinxin xue thesis

Projective cocycles over SL 2,R actions: Figures appear only in the ps and pdf files. Differential Equations 2680— Email address for updates.

Jinxin Xue-Yau Mathematical Sciences Center, Tsinghua University | 清华大学丘成桐数学科学中心

This is the introduction to a volume of two long papers: Views Read Edit View history. Bonatti Topology 44no. A global existence theorem for the four-body problem of Newtonian mechanics, J. Gerver, A possible model for thhesis singularity without collisions in the five-body problem, J. Pughand M.