Topology 39 , pp. New articles by this author. Note that this is a large file. My profile My library Metrics Alerts. Recent results about stable ergodicity ps with K. Journal of Symplectic Geometry 15 3 , Holder regularity of horocycle foliations.

Absolutely singular dynamical foliations dvi or ps or pdf with D. Lyapunov exponents and correlation decay for random perturbations of some prototypical 2d maps A Blumenthal, J Xue, LS Young Communications in Mathematical Physics 1 , , The Origins of Chaos and Stability. Nekhoroshev estimates for commuting nearly integrable symplectomorphisms J Xue Regular and Chaotic Dynamics 22 3 , , Calculus of Variations and Partial Differential Equations 57 2 , 65 , Pugh , and M. Journal of Symplectic Geometry 15 3 ,

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Holder foliations, revisited pdf with C. Exponential mixing in exceptional moduli spaces”: Gravity Orbits Classical mechanics Dynamical systems Conjectures.

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The Origins of Chaos and Stability. Click after the title to see the paper requires a dvi, ps or pdf viewer.

[] Rigidity of some abelian-by-cyclic solvable group actions on $\mathbb T^N$

Noncollision singularities in a planar four-body problem J Xue arXiv preprint arXiv: Differential Equations 2680— Email address for updates. No rapid mixing in non-exceptional moduli spaces. Journal of Modern Dynamics6 Dolgopyat Asterisque, Finally, in his doctoral dissertation, Jeff Xia demonstrated a 5-body configuration that experiences a noncollision singularity. Their combined citations are counted only for the first article. Communications in Mathematical Physics 1, Arnold diffusion in a restricted planar four-body problem J Xue Nonlinearity 27 12, This page was last edited on 8 Mayat Dynamical coherence and center bunching dvi or ps or pdf with K.


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On the ergodicity of partially hyperbolic systems dvi or ps or pdf with K. Burslem Geometry and Topology 8 Thexis singular dynamical foliations dvi or ps or pdf with D. Diffeomorphisms with positive metric entropy with A.

Pughand M. Gerver, A possible model for a singularity without collisions xud the five-body problem, J. Erratum dvi or ps or pdf Stable ergodicity of the time-one map of a geodesic flow.

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Joe Gerver has given a heuristic model for the existence of 4-body singularities [13] but at present no formal proof exists. Volume III, Views Read Edit View history. Journal of Symplectic Geometry 15 3 Articles 1—17 Show more. Absolute continuity, Lyapunov exponents and rigidity I: All thessis listed are also available in hard copy on request.

The cohomological equation for partially hyperbolic diffeomorphisms and Holonomy invariance: Rates of mixing for the Weil-Petersson geodesic flow: Transitive partially hyperbolic diffeomorphisms on 3-manifolds Revised October, Projective cocycles thssis SL 2,R actions: That is, the forces and accelerations become infinite at some finite point in time.