Assouad type dimensions for self-affine sponges

Jonathan MacDonald Fraser, Douglas Charles Howroyd

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

We study the Assouad and lower dimensions of self-affine sponges; the higher dimensional analogue of the planar self-affine carpets of Bedford and McMullen. Our techniques involve the weak tangents of Mackay and Tyson as well as regularity properties of doubling measures in the context studied by Bylund and Gudayol.
Original languageEnglish
Article number 42
Pages (from-to)149-174
JournalAnnales Academiae Scientiarum Fennicae-Mathematica
Volume42
Early online date10 Jan 2017
DOIs
Publication statusPublished - 2017

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