PROJECTIONAL ENTROPY AND THE ELECTRICAL WIRE SHIFT
Author | dc.contributor.author | Schraudner, Michael | |
Admission date | dc.date.accessioned | 2010-07-27T14:35:48Z | |
Available date | dc.date.available | 2010-07-27T14:35:48Z | |
Publication date | dc.date.issued | 2010 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/125440 | |
Abstract | dc.description.abstract | In this paper we present an extendible, block gluing Z3 shift of finite type Wel in which the topological entropy equals the L-projectional entropy for a two-dimensional sublattice L Z3, even so Wel is not a full Z extension of Wel L . In particular this example shows that Theorem 4.1 of [4] does not generalize to r-dimensional sublattices L for r > 1. Nevertheless we are able to reprove and extend the result about onedimensional sublattices for general Zd shifts – instead of shifts of finite type – under the same mixing assumption as in [4] and by posing a stronger mixing condition we also obtain the corresponding statement for higher-dimensional sublattices. | en_US |
Patrocinador | dc.description.sponsorship | The author was supported by FONDECYT project 3080008 | en_US |
Lenguage | dc.language.iso | en | en_US |
Keywords | dc.subject | Zd | en_US |
Título | dc.title | PROJECTIONAL ENTROPY AND THE ELECTRICAL WIRE SHIFT | en_US |
Document type | dc.type | Artículo de revista |
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