Mean dimension and an embedding problem: An example

Elon Lindenstrauss; Masaki Tsukamoto

doi:10.1007/s11856-013-0040-9

Mean dimension and an embedding problem: An example

Elon Lindenstrauss, Masaki Tsukamoto

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Abstract

For any positive integer D, we construct a minimal dynamical system with mean dimension equal to D/2 that cannot be embedded into (([0, 1]^D)^ℤ, shift).

Original language	English
Pages (from-to)	573-584
Number of pages	12
Journal	Israel Journal of Mathematics
Volume	199
Issue number	2
DOIs	https://doi.org/10.1007/s11856-013-0040-9
State	Published - 1 Mar 2014

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s11856-013-0040-9

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title = "Mean dimension and an embedding problem: An example",

abstract = "For any positive integer D, we construct a minimal dynamical system with mean dimension equal to D/2 that cannot be embedded into (([0, 1]D)ℤ, shift).",

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JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

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Mean dimension and an embedding problem: An example

Abstract

All Science Journal Classification (ASJC) codes

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