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 study the orbits of a polynomial $f\in \mathbb {C}[X]$ , namely, the sets $\{\alpha,f(\alpha),f(f(\alpha)),\ldots\}$ with $\alpha\in \mathbb {C}$ . We prove that if two nonlinear complex polynomials $f,g$ have orbits with infinite intersection, then $f$ and $g$ have a common iterate. More generally, we describe the intersection of any line in $\mathbb {C}^{d}$ with a $d$ -tuple of orbits of nonlinear polynomials, and we formulate a question which generalizes both this result and the Mordell–Lang conjecture.

Pertenece a

Project Euclid (Hosted at Cornell University Library)  

Autor(es)

Ghioca, Dragos -  Tucker, Thomas J. -  Zieve, Michael E. - 

Id.: 55259223

Idioma: inglés  - 

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Palabras clave37F10 - 

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), 1379-1410
* doi:10.1215/00127094-1598098

Otros recursos del mismo autor(es)

  1. Preperiodic points for families of polynomials Let [math] , and let [math] be a one-parameter family of polynomials indexed by all [math] . We stud...
  2. Hardware simulation of diesel generator and microgrid stability Over the last few years, people have begun to depend less on large power plants with extensive distr...

Otros recursos de la mismacolección

  1. On the marked length spectrum of generic strictly convex billiard tables In this paper we show that for a generic strictly convex domain, one can recover the eigendata corre...
  2. Spectral asymptotics for sub-Riemannian Laplacians, I: Quantum ergodicity and quantum limits in the 3-dimensional contact case This is the first paper of a series in which we plan to study spectral asymptotics for sub-Riemannia...
  3. Quantitative nonorientability of embedded cycles We introduce an invariant linked to some foundational questions in geometric measure theory and prov...
  4. Full-rank affine invariant submanifolds We show that every $\operatorname{GL}(2,R)$ orbit closure of translation surfaces is a connected com...
  5. The C∗-algebra of a minimal homeomorphism of zero mean dimension Let $X$ be an infinite metrizable compact space, and let $\sigma:X\toX$ be a minimal homeomorphism. ...

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.