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arXiv · 1903.02733

Strongly mixing smooth planar vector field without asymptotic directions

Yuri Bakhtin·Liying Li
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Abstract

We use a Voronoi-type tessellation based on a compound Poisson point process to construct a polynomially mixing stationary random smooth planar vector field with bounded nonnegative components such that, with probability one, none of the associated integral curves possess an asymptotic direction.

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Yuri Bakhtin, Liying Li. 2019-03-07. Strongly mixing smooth planar vector field without asymptotic directions. https://arxiv.org/abs/1903.02733

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