Singularities and nonhyperbolic manifolds do not coincide [PDF]
Nandor SimanyiWe consider the billiard flow of elastically colliding hard disks on the flat 2-torus and prove that no singularity manifold can locally coincide with a manifold describing future non-hyperbolicity of the trajectories. As a corollary, we obtain the ergodicity (actually the Bernoulli mixing property) of all such systems.View original: http://arxiv.org/abs/1205.0061
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