This is the introduction to a volume of two long papers: Crovisier Journal of Modern Dynamics 2 , Viana , both contained in a single volume: Conservative partially hyperbolic dynamics dvi or ps or pdf Proceedings of the International Congress of Mathematicians. GAFA 27

Saari and Zhihong Jeff Xia. Click after the title to see the paper requires a dvi, ps or pdf viewer. No rapid mixing in non-exceptional moduli spaces. On the ergodicity of partially hyperbolic systems dvi or ps or pdf with K. Erratum dvi or ps or pdf Stable ergodicity of the time-one map of a geodesic flow.

Differential Equations 2680â€” Absolute continuity, Lyapunov exponents and rigidity I: Noncollision singularities in a planar four-body problem J Xue arXiv preprint arXiv: New articles related to this author’s research.

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IHES, Recent results about stable ergodicity ps with K. Articles Cited by Co-authors. Projective cocycles over SL 2,R actions: This paper is a supplement to our paper “Rates of mixing for the Weil-Petersson geodesic thseis The cohomological equation for partially hyperbolic diffeomorphisms pdf Asterisque Off to Infinity in Finite Time.

Burslem Geometry and Topology 8 This is the introduction to a volume of two long papers: Smooth ergodic theory expository article for Encyclopedia of Complexity and System Science24 pages. The system can’t perform the operation now. Research announcement dvi or ps or pdf with B.

Calculus of Variations and Partial Differential Equations 57 265 Email address for updates. The Origins of Chaos and Stability.

# Webpage of Alex Blumenthal

Graph Theory 14No. The Weil-Petersson jinxni flow is ergodic pdf with K. Dynamical systems symplectic geometry. Retrieved from ” https: In Joe Gerver gave an argument for a noncollision singularity in the planar 5-body problem with no collisions.

Exponential mixing in exceptional moduli spaces. Arnold diffusion in a restricted planar four-body problem J Xue Nonlinearity 27 12, If the limit does not exist the singularity is called a pseudocollision or noncollision singularity.

## PainlevĂ© conjecture

Saari jihxin 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. Asterisque Conservative partially hyperbolic dynamics dvi or ps or pdf Proceedings of the International Congress of Mathematicians.

A global existence theorem for the four-body problem of Newtonian mechanics, J. The cohomological equation for partially hyperbolic diffeomorphisms and Holonomy invariance: Do Four Bodies Suffice? Figures appear only in the ps and pdf files. Stable ergodicity and Anosov flows.