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Coincidence rank and multivariate equicontinuity

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arxiv 2411.03529 v2 pith:AA2BYEFS submitted 2024-11-05 math.DS

Felipe García-Ramos , Irma León-Torres This is my paper · ORCID
classification math.DS
keywords coincidencerankequicontinuitymultivariatebargecharacterizationdynamicalequicontinuous
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The coincidence rank, introduced by Barge and Kwapisz, measures the regularity of the maximal equicontinuous factor of minimal dynamical systems. We provide a characterization of the finiteness of coincidence rank using a multivariate notion of equicontinuity.

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Cited by 1 Pith paper

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  1. Radius-zero Extended Symmetries and Irregular Fibres of $\mathbb{Z}^d$-Substitution Subshifts

    math.DS 2025-06 reject novelty 7.0 of 10

    For Z^d substitution subshifts, the paper gives conditions for radius-zero extended symmetries to shuffle supertiles, proves the height lattice is invariant, and describes irregular fibres, but the proofs have signifi...

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