Resumen: We show that for a given finitely generated group, its Bernoulli shift space can be equivariantly embedded as a subset of a space of pointed trees with Gromov–Hausdorff metric and natural partial action of a free group. Since the latter can be realized as a transverse space of a foliated space with leaves Riemannian manifolds, this embedding allows us to obtain a suspension of such Bernoulli shift. By a similar argument, we show that the space of pointed trees is universal for compactly generated expansive pseudogroups of transformations.
Idioma: Inglés
DOI: 10.1080/14689367.2013.828680
Año: 2013
Publicado en: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 28, 4 (2013), 551-566
ISSN: 1468-9367
Factor impacto JCR: 0.381 (2013)
Categ. JCR: MECHANICS rank: 126 / 139 = 0.906 (2013) - Q4 - T3
Categ. JCR: MATHEMATICS, APPLIED rank: 222 / 251 = 0.884 (2013) - Q4 - T3
Tipo y forma: Article (PostPrint)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes.
Exportado de SIDERAL (2024-02-06-14:52:44)
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Idioma: Inglés
DOI: 10.1080/14689367.2013.828680
Año: 2013
Publicado en: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 28, 4 (2013), 551-566
ISSN: 1468-9367
Factor impacto JCR: 0.381 (2013)
Categ. JCR: MECHANICS rank: 126 / 139 = 0.906 (2013) - Q4 - T3
Categ. JCR: MATHEMATICS, APPLIED rank: 222 / 251 = 0.884 (2013) - Q4 - T3
Tipo y forma: Article (PostPrint)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. Exportado de SIDERAL (2024-02-06-14:52:44)
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Record created 2024-02-06, last modified 2024-02-06