Geodesic
Analogs of Essential Singularities for Sequences of Polynomial Mappings
Funkcionalʹnyj analiz i ego priloženiâ, Tome 35 (2001) no. 4, pp. 26-31 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a sequence of polynomial self-mappings of $\mathbb{C}^n$ and a given ball in $\mathbb{C}^n$, we state conditions guaranteeing that the union of images of any larger concentric ball is everywhere dense. Under slightly more severe conditions, one can use a sequence of concentric balls (one for each mapping) with radii tending to zero. The common center of these balls is, in a sense, an essential singularity of the sequence of mappings. 
@article{FAA_2001_35_4_a3,
     author = {I. M. Dektyarev},
     title = {Analogs of {Essential} {Singularities} for {Sequences} of {Polynomial} {Mappings}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {26--31},
     year = {2001},
     volume = {35},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2001_35_4_a3/}
}
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I. M. Dektyarev. Analogs of Essential Singularities for Sequences of Polynomial Mappings. Funkcionalʹnyj analiz i ego priloženiâ, Tome 35 (2001) no. 4, pp. 26-31. http://geodesic.mathdoc.fr/item/FAA_2001_35_4_a3/