Dynamics semi-conjugated to a subshift for some polynomial mappings in C2.

Gabriel Vigny

Publicacions Matemàtiques (2007)

  • Volume: 51, Issue: 1, page 201-222
  • ISSN: 0214-1493

Abstract

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We study the dynamics near infinity of polynomial mappings f in C2. We assume that f has indeterminacy points and is non constant on the line at infinity L∞. If L∞ is f-attracting, we decompose the Green current along itineraries defined by the indeterminacy points and their preimages. The symbolic dynamics that arises is a subshift on an infinite alphabet.

How to cite

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Vigny, Gabriel. "Dynamics semi-conjugated to a subshift for some polynomial mappings in C2. ." Publicacions Matemàtiques 51.1 (2007): 201-222. <http://eudml.org/doc/41893>.

@article{Vigny2007,
abstract = {We study the dynamics near infinity of polynomial mappings f in C2. We assume that f has indeterminacy points and is non constant on the line at infinity L∞. If L∞ is f-attracting, we decompose the Green current along itineraries defined by the indeterminacy points and their preimages. The symbolic dynamics that arises is a subshift on an infinite alphabet.},
author = {Vigny, Gabriel},
journal = {Publicacions Matemàtiques},
keywords = {Sistemas dinámicos complejos; Funciones polinómicas; indeterminacy points; Green current; symbolic dynamics; subshift on an infinite alphabet; invariant probability measure; dynamic near infinity},
language = {eng},
number = {1},
pages = {201-222},
title = {Dynamics semi-conjugated to a subshift for some polynomial mappings in C2. },
url = {http://eudml.org/doc/41893},
volume = {51},
year = {2007},
}

TY - JOUR
AU - Vigny, Gabriel
TI - Dynamics semi-conjugated to a subshift for some polynomial mappings in C2.
JO - Publicacions Matemàtiques
PY - 2007
VL - 51
IS - 1
SP - 201
EP - 222
AB - We study the dynamics near infinity of polynomial mappings f in C2. We assume that f has indeterminacy points and is non constant on the line at infinity L∞. If L∞ is f-attracting, we decompose the Green current along itineraries defined by the indeterminacy points and their preimages. The symbolic dynamics that arises is a subshift on an infinite alphabet.
LA - eng
KW - Sistemas dinámicos complejos; Funciones polinómicas; indeterminacy points; Green current; symbolic dynamics; subshift on an infinite alphabet; invariant probability measure; dynamic near infinity
UR - http://eudml.org/doc/41893
ER -

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