Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/24936| Author(s): | Gastão Bettencourt Mendes, S. |
| Editor: | Elena Blokhina, Orla Feely |
| Date: | 2015 |
| Title: | Homomorphism to R generated by abstract length functions: a dynamical construction |
| Volume: | 692 |
| ISSN: | 1742-6596 |
| DOI (Digital Object Identifier): | 10.1088/1742-6596/692/1/012004 |
| Keywords: | Abstract length function Homomorphism Random walk |
| Abstract: | Erschler and Karlsson in [5] construct a homomorphism of a finitely generated group G to R using a random walk approach. Central to their construction were the word length$\ell$ and a well behaved measure $\mu$ on G. In this note we define a class of abstract length functions and prove that Erschler and Karlsson construction can also be applied to this class. |
| 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 | |
|---|---|---|---|---|
| conferenceobject_26539.pdf | Versão Aceite | 851,77 kB | Adobe PDF | View/Open |
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