Strongly mixing smooth planar vector field without asymptotic directions
Dynamical Systems
2022-11-17 v3 Probability
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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Cite
@article{arxiv.1903.02733,
title = {Strongly mixing smooth planar vector field without asymptotic directions},
author = {Yuri Bakhtin and Liying Li},
journal= {arXiv preprint arXiv:1903.02733},
year = {2022}
}
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10 pages