INVESTIGADORES
GARCIA Ignacio Andres
artículos
Título:
Properties of quasi-Assouad dimension
Autor/es:
GARCÍA, IGNACIO; HARE, KATHRYN
Revista:
Annales Fennici Mathematici
Editorial:
Finnish Mathematical Society
Referencias:
Año: 2021 vol. 46 p. 279 - 293
ISSN:
2737-0690
Resumen:
The connections between quasi-Assouad dimension and tangents are studied. Weapply these results to the calculation of the quasi-Assouaddimension for a class of planar self-affine sets. We also show that sets with decreasing gaps have quasi-Assouad dimension0or1andexhibit an example of a set in the plane whose quasi-Assouad dimension is smaller than that ofits projection onto thex-axis, showing that quasi-Assouad dimension may increase under Lipschitzmappings. Moreover, for closed sets, we show that the Hausdorff dimension is an upper bound forthe quasi-lower Assouad dimension.
