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

L. Olsen

doi:10.1016/j.jmaa.2018.09.044

On the average L^q-dimensions of typical measures belonging to the Gromov-Hausdorff-Prohoroff space

L. Olsen

Pure Mathematics

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

Abstract

We study the average L^q-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.

Original language	English
Journal	Journal of Mathematical Analysis and Applications
Volume	In press
Early online date	27 Sept 2018
DOIs	https://doi.org/10.1016/j.jmaa.2018.09.044
Publication status	E-pub ahead of print - 27 Sept 2018

Keywords

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

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10.1016/j.jmaa.2018.09.044

Olsen_2018_JMAA_Lq-dimensions_AAM
Copyright © 2018 Elsevier Inc. This work has been made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at: https://doi.org/10.1016/j.jmaa.2018.09.044
Accepted author manuscript, 353 KBLicence: CC BY-NC-ND

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title = "On the average Lq-dimensions of typical measures belonging to the Gromov-Hausdorff-Prohoroff space",

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.",

keywords = "Lq-dimension, Gromov-Hausdorff-Prohoroff space, Gromov-Hausdorff-Prohoroff metric, H{\"o}lder mean, Cesaro mean, Baire category",

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AB - 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.

KW - Lq-dimension

KW - Gromov-Hausdorff-Prohoroff space

KW - Gromov-Hausdorff-Prohoroff metric

KW - Hölder mean

KW - Cesaro mean

KW - Baire category

UR - https://www.scopus.com/pages/publications/85054082685

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DO - 10.1016/j.jmaa.2018.09.044

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