Lipschitz means and mixers on metric spaces

Research output: Contribution to journalArticlepeer-review


The standard arithmetic measures of center, the mean, and the median, have natural topological counterparts that 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.

Original languageEnglish (US)
Pages (from-to)167-187
Number of pages21
JournalIllinois Journal of Mathematics
Issue number1
StatePublished - Apr 2024

ASJC Scopus subject areas

  • General Mathematics


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