TY - JOUR
T1 - Assouad type dimensions for self-affine sponges
AU - Fraser, Jonathan MacDonald
AU - Howroyd, Douglas Charles
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
UR - https://arxiv.org/abs/1508.03393
UR - http://acadsci.fi/mathematica/Vol42/vol42.html
U2 - 10.5186/aasfm.2017.4213
DO - 10.5186/aasfm.2017.4213
M3 - Article
SN - 1239-629X
VL - 42
SP - 149
EP - 174
JO - Annales Academiae Scientiarum Fennicae-Mathematica
JF - Annales Academiae Scientiarum Fennicae-Mathematica
M1 - 42
ER -