Lipschitz means and mixers on metric spaces
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866911921059397632 |
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| author | Kovalev, Leonid V. |
| author_facet | Kovalev, Leonid V. |
| contents | The standard arithmetic measures of center, the mean and median, have natural topological counterparts which have been widely used in continuum theory. In the context of metric spaces it is natural to consider the Lipschitz continuous versions of the mean and median. We show that they are related to familiar concepts of the geometry of metric spaces: the bounded turning property, the existence of quasisymmetric parameterization, and others. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_03818 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Lipschitz means and mixers on metric spaces Kovalev, Leonid V. Metric Geometry Primary 51F30, Secondary 30L10, 54B20, 54C15, 54E40 The standard arithmetic measures of center, the mean and median, have natural topological counterparts which have been widely used in continuum theory. In the context of metric spaces it is natural to consider the Lipschitz continuous versions of the mean and median. We show that they are related to familiar concepts of the geometry of metric spaces: the bounded turning property, the existence of quasisymmetric parameterization, and others. |
| title | Lipschitz means and mixers on metric spaces |
| topic | Metric Geometry Primary 51F30, Secondary 30L10, 54B20, 54C15, 54E40 |
| url | https://arxiv.org/abs/2208.03818 |