Skip to content

Research at St Andrews

On the average Lq-dimensions of typical measures belonging to the Gromov-Hausdorff-Prohoroff space

Research output: Contribution to journalArticle

Author(s)

School/Research organisations

Abstract

We study the average Lq-dimensions of typical Borel probability measures belonging to the Gromov-Hausdorff-Prohoroff space (of all Borel probability measures with compact supports) equipped with the Gromov-Hausdorff-Prohoroff metric.
Close

Details

Original languageEnglish
JournalJournal of Mathematical Analysis and Applications
VolumeIn press
Early online date27 Sep 2018
DOIs
Publication statusE-pub ahead of print - 27 Sep 2018

    Research areas

  • Lq-dimension, Gromov-Hausdorff-Prohoroff space, Gromov-Hausdorff-Prohoroff metric, Hölder mean, Cesaro mean, Baire category

Discover related content
Find related publications, people, projects and more using interactive charts.

View graph of relations

Related by author

  1. On the rate of convergence of ((||ƒ||p)¦(||ƒ||∞))p as p →∞

    Olsen, L. O. R., Feb 2019, In : Mediterranean Journal of Mathematics. 16, 10 p., 11.

    Research output: Contribution to journalArticle

  2. On average Hewitt-Stromberg measures of typical compact metric spaces

    Olsen, L., 24 Jan 2019, In : Mathematische Zeitschrift. First Online, 25 p.

    Research output: Contribution to journalArticle

  3. On the average box dimensions of graphs of typical continuous functions

    Adam-Day, B., Ashcroft, C., Olsen, L., Pinzani, N., Rizzoli, A. & Rowe, J., Dec 2018, In : Acta Mathematica Hungarica. 156, 2, p. 263-302 40 p.

    Research output: Contribution to journalArticle

  4. Average distances between points in graph-directed self-similar fractals

    Olsen, L. & Richardson, A., 27 Aug 2018, In : Mathematische Nachrichten. Early View, 25 p.

    Research output: Contribution to journalArticle

  5. On the Hausdorff and packing measures of typical compact metric spaces

    Jurina, S., MacGregor, N., Mitchell, A., Olsen, L. & Stylianou, A., Aug 2018, In : Aequationes Mathematicae. 92, 4, p. 709–735 27 p.

    Research output: Contribution to journalArticle

Related by journal

  1. Marstrand's Theorem revisited: projecting sets of dimension zero

    Beresnevich, V., Falconer, K., Velani, S. & Zafeiropoulos, A., 15 Apr 2019, In : Journal of Mathematical Analysis and Applications. 472, 2, p. 1820-1845 26 p.

    Research output: Contribution to journalArticle

  2. Mixed moments and local dimensions of measures

    Olsen, L. O. R., 1 Sep 2016, In : Journal of Mathematical Analysis and Applications. 441, 1, p. 45-56 12 p.

    Research output: Contribution to journalArticle

  3. A Hölder-type inequality on a regular rooted tree

    Falconer, K. J., 15 Mar 2015, In : Journal of Mathematical Analysis and Applications. 423, 2, p. 913-923 11 p.

    Research output: Contribution to journalArticle

  4. A note on the 1-prevalence of continuous images with full Hausdorff dimension

    Fraser, J. M. & Hyde, J. T., 2015, In : Journal of Mathematical Analysis and Applications. 421, 2, p. 1713-1720 8 p.

    Research output: Contribution to journalArticle

ID: 256071637

Top