Strongly mixing smooth planar vector field without asymptotic directions

Yuri Bakhtin; Liying Li

doi:10.1088/1361-6544/acb62b

Strongly mixing smooth planar vector field without asymptotic directions

Yuri Bakhtin, Liying Li

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	1789-1798
Number of pages	10
Journal	Nonlinearity
Volume	36
Issue number	3
DOIs	https://doi.org/10.1088/1361-6544/acb62b
State	Published - Mar 1 2023

Keywords

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

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/1361-6544/acb62b

Cite this

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title = "Strongly mixing smooth planar vector field without asymptotic directions",

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.",

keywords = "R-ergodic dynamical system, asymptotic straightness of integral curves, compound Poisson process, homogenization, stationary vector field, strong mixing",

author = "Yuri Bakhtin and Liying Li",

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AU - Li, Liying

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KW - R-ergodic dynamical system

KW - asymptotic straightness of integral curves

KW - compound Poisson process

KW - homogenization

KW - stationary vector field

KW - strong mixing

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Strongly mixing smooth planar vector field without asymptotic directions

Abstract

Keywords

ASJC Scopus subject areas

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