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

18 Citations (Scopus)

82 Downloads (Pure)

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

Access to Document

10.1093/imrn/rnz352

Full-text PDF (author accepted manuscript)
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.
Accepted author manuscript, 318 KB

Handle.net

Persistent link

Dr Henna L L Koivusalo
- henna.koivusalobristol.acuk
- School of Mathematics - Senior Lecturer
Person: Academic

Cite this

@article{91780982bb6640dd8fa70018803deeed,

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.",

author = "Koivusalo, \{Henna L L\} and Rams Michal",

year = "2020",

month = jan,

day = "11",

doi = "10.1093/imrn/rnz352",

language = "English",

volume = "0",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

}

TY - JOUR

T1 - Mass transference principle

T2 - From balls to arbitrary shapes

AU - Koivusalo, Henna L L

AU - Michal, Rams

PY - 2020/1/11

Y1 - 2020/1/11

N2 - 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.

AB - 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.

U2 - 10.1093/imrn/rnz352

DO - 10.1093/imrn/rnz352

M3 - Article (Academic Journal)

SN - 1073-7928

VL - 0

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

M1 - rnz352

ER -

Mass transference principle: From balls to arbitrary shapes

Abstract

Access to Document

Handle.net

Fingerprint

Profiles

Dr Henna L L Koivusalo

Cite this