Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/21305
Author(s): | Bettencourt, G. H. Mendes, S. |
Date: | 2020 |
Title: | A note on the minimal displacement function |
Volume: | 72 |
Number: | 4 |
Pages: | 297 - 302 |
ISSN: | 2406-0682 |
Keywords: | Minimal displacement function Metric space Subadditivity |
Abstract: | Let (X,d) be a metric space and Iso(X,d) the associated isometry group. We study the subadditivity of the minimal displacement function $f : Iso(X, d) \to R$ for different metric spaces. When (X,d) is ultrametric, we prove that the minimal displacement function is subadditive. We show, by a simple algebraic argument, that subadditivity does not hold for the direct isometry group of the hyperbolic plane. The same argument can be used for other metric spaces. |
Peerreviewed: | yes |
Access type: | Open Access |
Appears in Collections: | DM-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Files in This Item:
File | Description | Size | Format | |
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mv20402.pdf | Versão Editora | 285,04 kB | Adobe PDF | View/Open |
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