It is shown that an infinite sequence of polynomial mappings of several complex variables, with suitable growth restrictions, determines a filled-in Julia set which is pluriregular. Such sets depend continuously and analytically on the generating sequences, in the sense of pluripotential theory and the theory of set-valued analytic functions, respectively.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap80-0-14,
author = {Maciej Klimek},
title = {On perturbations of pluriregular sets generated by sequences of polynomial maps},
journal = {Annales Polonici Mathematici},
volume = {81},
year = {2003},
pages = {171-184},
zbl = {1026.32065},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap80-0-14}
}
Maciej Klimek. On perturbations of pluriregular sets generated by sequences of polynomial maps. Annales Polonici Mathematici, Tome 81 (2003) pp. 171-184. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap80-0-14/