Mass transference principle: From balls to arbitrary shapes

Henna L L Koivusalo, Rams Michal*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

8 Citations (Scopus)
43 Downloads (Pure)


The mass transference principle, proved by Beresnevich and Velani in 2006, is a strong result that gives lower bounds for the Hausdorff dimension of limsup sets of balls. We present a version for limsup sets of open sets of arbitrary shape.
Original languageEnglish
Article numberrnz352
Number of pages16
JournalInternational Mathematics Research Notices
Publication statusPublished - 11 Jan 2020


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