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http://hdl.handle.net/10077/8294| Title: | Limit free computation of entropy | Authors: | Dikranjan, Dikran Giordano Bruno, Anna |
Keywords: | topological entropy; algebraic entropy; totally disconnected compact group; finite depth | Issue Date: | 2012 | Publisher: | EUT Edizioni Università di Trieste | Source: | Dikran Dikranjan and Anna Giordano Bruno, "Limit free computation of entropy", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 44 (2012), pp. 297–312. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 44 (2012) |
Abstract: | Various limit-free formulas are given for the computation of the algebraic and the topological entropy, respectively in the settings of endomorphisms of locally finite discrete groups and of continuous endomorphisms of totally disconnected compact groups. As applica- tions we give new proofs of the connection between the algebraic and the topological entropy in the abelian case and of the connection of the topological entropy with the finite depth for topological automorphisms. | URI: | http://hdl.handle.net/10077/8294 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Dikranjan_GiordanoBruno_RIMUT44.pdf | 231.41 kB | Adobe PDF | View/Open |
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