1) La descarga del recurso depende de la página de origen
2) Para poder descargar el recurso, es necesario ser usuario registrado en Universia


Opción 1: Descargar recurso

Detalles del recurso

Descripción

We show that if $r\geq3$ and $\alpha$ is a faithful $\mathbb {Z}^{r}$ -Cartan action on a torus $\mathbb {T}^{d}$ by automorphisms, then any closed subset of $(\mathbb {T}^{d})^{2}$ which is invariant and topologically transitive under the diagonal $\mathbb {Z}^{r}$ -action by $\alpha$ is homogeneous, in the sense that it is either the full torus $(\mathbb {T}^{d})^{2}$ , or a finite set of rational points, or a finite disjoint union of parallel translates of some $d$ -dimensional invariant subtorus. A counterexample is constructed for the rank $2$ case.

Pertenece a

Project Euclid (Hosted at Cornell University Library)  

Autor(es)

Lindenstrauss, Elon -  Wang, Zhiren - 

Id.: 55259221

Idioma: inglés  - 

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Palabras clave37C85 - 

Tipo de recurso: Text  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

: Copyright 2012 Duke University Press

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] 0012-7094
[References] 1547-7398

Fecha de contribución: 25-jul-2012

Contacto:

Localización:
* Duke Math. J. 161, no. 7 (2012), 1305-1350
* doi:10.1215/00127094-1593290

Otros recursos del mismo autor(es)

  1. MODELING OF THE PHSICAL ENVIRONMENT AND ITS EFFECTS ON OYSTER DISEASE IN DELAWARE BAY: PAST, PRESENT AND FUTURE By ii
  2. Random walks in the group of Euclidean isometries and self-similar measures We study products of random isometries acting on Euclidean space. Building on previous work of the s...
  3. Understanding How Disease and Environment Combine to Structure Resistance in Estuarine Bivalve Populations Delaware Bay oyster (Crassostrea virginica) populations are influenced by two lethal parasites that ...
  4. Heparanase, A Key Target for Gene Therapy against Human Malignancies
  5. Distribution of periodic torus orbits on homogeneous spaces We prove results toward the equidistribution of certain families of periodic torus orbits on homogen...

Otros recursos de la mismacolección

  1. Borelian subgroups of simple Lie groups We prove that in a simple real Lie group, there is no Borel measurable dense subgroup of intermediat...
  2. Algebraic Birkhoff factorization and the Euler–Maclaurin formula on cones We equip the space of lattice cones with a coproduct which makes it a cograded, coaugmented, connnec...
  3. Geometry of webs of algebraic curves A family of algebraic curves covering a projective variety $X$ is called a web of curves on $X$ if i...
  4. Proof of linear instability of the Reissner–Nordström Cauchy horizon under scalar perturbations It has long been suggested that solutions to the linear scalar wave equation ¶ \[\Box_{g}\phi=0\] on...
  5. A topological property of asymptotically conical self-shrinkers of small entropy For any asymptotically conical self-shrinker with entropy less than or equal to that of a cylinder w...

Aviso de cookies: Usamos cookies propias y de terceros para mejorar nuestros servicios, para análisis estadístico y para mostrarle publicidad. Si continua navegando consideramos que acepta su uso en los términos establecidos en la Política de cookies.