Finite-to-one equivariant maps and mean dimension

Michael Levin

Finite-to-one equivariant maps and mean dimension

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2312.04689 v1 pith:N6KWB2ZD submitted 2023-12-07 math.DS

Michael Levin This is my paper · ORCID

classification math.DS

keywords equivariantmathbbadmitscompactcontainsdimensiondynamicalevery

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

abstract

We show that a minimal dynamical system $(X,\mathbb{Z})$ on a compact metric $X$ with mdim$X=d$ admits for every natural $k>d$ an equivariant map to the shift $([0,1]^k)^{\mathbb{Z}}$ such that each fiber of this map contains at most $[k/(k-d)]k/(k-d)$ points.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Mean Assouad dimension and spectrum, with applications to infinite dimensional fractals
math.DS 2026-01 conditional novelty 6.0 of 10

Mean Assouad dimension and spectrum are defined as bi-Lipschitz invariants of dynamical systems; explicit formulas are derived for infinite-dimensional Bedford-McMullen carpets.

Pith tools