On the exact rate of convergence of frequencies of digits and local dimensions of multinomial measures

Lars Ole Ronnow Olsen

doi:10.1017/S0305004115000407

On the exact rate of convergence of frequencies of digits and local dimensions of multinomial measures

Lars Ole Ronnow Olsen

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study the Hausdorff dimensions of certain sets of non-normal numbers defined in terms of the exact rate of convergence of digits in their N-adic expansions. As an application of our results we analyse the rate of convergence of local dimensions of multinomial measures.

Original language	English
Number of pages	17
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	FirstView Article
Early online date	7 Aug 2015
DOIs	https://doi.org/10.1017/S0305004115000407
Publication status	Published - 2015

Access to Document

10.1017/S0305004115000407

Cite this

@article{0611b9be83b14b3cb1461153ab8d1f56,

title = "On the exact rate of convergence of frequencies of digits and local dimensions of multinomial measures",

abstract = "We study the Hausdorff dimensions of certain sets of non-normal numbers defined in terms of the exact rate of convergence of digits in their N-adic expansions. As an application of our results we analyse the rate of convergence of local dimensions of multinomial measures.",

author = "Olsen, {Lars Ole Ronnow}",

year = "2015",

doi = "10.1017/S0305004115000407",

language = "English",

volume = "FirstView Article",

journal = "Mathematical Proceedings of the Cambridge Philosophical Society",

issn = "0305-0041",

publisher = "Cambridge University Press",

}

TY - JOUR

T1 - On the exact rate of convergence of frequencies of digits and local dimensions of multinomial measures

AU - Olsen, Lars Ole Ronnow

PY - 2015

Y1 - 2015

N2 - We study the Hausdorff dimensions of certain sets of non-normal numbers defined in terms of the exact rate of convergence of digits in their N-adic expansions. As an application of our results we analyse the rate of convergence of local dimensions of multinomial measures.

AB - We study the Hausdorff dimensions of certain sets of non-normal numbers defined in terms of the exact rate of convergence of digits in their N-adic expansions. As an application of our results we analyse the rate of convergence of local dimensions of multinomial measures.

U2 - 10.1017/S0305004115000407

DO - 10.1017/S0305004115000407

M3 - Article

SN - 0305-0041

VL - FirstView Article

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

ER -

On the exact rate of convergence of frequencies of digits and local dimensions of multinomial measures

Abstract

Access to Document

Fingerprint

Cite this