Mass transference principle: From balls to arbitrary shapes

Henna L L Koivusalo; Rams Michal

doi:10.1093/imrn/rnz352

Mass transference principle: From balls to arbitrary shapes

Henna L L Koivusalo, Rams Michal^*

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

15 Citations (Scopus)

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Abstract

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 language	English
Article number	rnz352
Number of pages	16
Journal	International Mathematics Research Notices
Volume	0
DOIs	https://doi.org/10.1093/imrn/rnz352
Publication status	Published - 11 Jan 2020

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Oxford University Press at https://academic.oup.com/imrn/advance-article/doi/10.1093/imrn/rnz352/5700597. Please refer to any applicable terms of use of the publisher.
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Dr Henna L L Koivusalo
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title = "Mass transference principle: From balls to arbitrary shapes",

abstract = "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.",

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M3 - Article (Academic Journal)

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JO - International Mathematics Research Notices

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Mass transference principle: From balls to arbitrary shapes

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