Exceptional projections of sets exhibiting almost dimension conservation
Nyckelord:
Orthogonal projections, exceptional sets, dimension conservation, packing dimension, homogeneous sets, graph-directed setsAbstract
We establish a packing dimension estimate on the exceptional sets of orthogonal projections of sets satisfying an almost dimension conservation law. In particular, the main result applies to homogeneous sets and to certain graph-directed sets. Connections are drawn to results of Rams and Orponen.
Referera så här
Bushling, R. E. G. (2024). Exceptional projections of sets exhibiting almost dimension conservation. Annales Fennici Mathematici, 49(1), 65–79. https://doi.org/10.54330/afm.143289
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