Strongly mixing smooth planar vector field without asymptotic directions

Yuri Bakhtin, Liying Li

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)1789-1798
Number of pages10
Issue number3
StatePublished - Mar 1 2023


  • asymptotic straightness of integral curves
  • compound Poisson process
  • homogenization
  • R-ergodic dynamical system
  • stationary vector field
  • strong mixing

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics


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