Dimensions of sums with self-similar sets

2015/06/23 by Oberlin, Daniel, Oberlin, Richard
#28E99 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1506.06938

Abstract

For some self-similar sets K in d-dimensional Euclidean space we obtain certain lower bounds for the lower Minkowski dimension of K+E in terms of the lower Minkowski dimension of E.

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