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Mass transference principle: from balls to arbitrary shapes
- Source :
- Koivusalo, H L L & Michal, R 2020, ' Mass transference principle : From balls to arbitrary shapes ', International Mathematics Research Notices, vol. 0, rnz352 . https://doi.org/10.1093/imrn/rnz352
- Publication Year :
- 2018
- Publisher :
- arXiv, 2018.
-
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.<br />Comment: 13 pages
- Subjects :
- Pure mathematics
Computer Science::Computer Science and Game Theory
General Mathematics
Mathematics::Number Theory
010102 general mathematics
Open set
01 natural sciences
010101 applied mathematics
Mathematics::Probability
Mathematics - Classical Analysis and ODEs
Hausdorff dimension
Computer Science::Logic in Computer Science
Classical Analysis and ODEs (math.CA)
FOS: Mathematics
0101 mathematics
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Koivusalo, H L L & Michal, R 2020, ' Mass transference principle : From balls to arbitrary shapes ', International Mathematics Research Notices, vol. 0, rnz352 . https://doi.org/10.1093/imrn/rnz352
- Accession number :
- edsair.doi.dedup.....84204bb3f191241f9c106a270bb5fbea
- Full Text :
- https://doi.org/10.48550/arxiv.1812.08557