Abstract
In this paper, we study a family of iteration of polynomial map on the 2-dimensional complex Euclidean space {${\bf C}\sp 2$} whose all unbounded orbits converge to one point of the line at infinity in the 2-dimensional complex projective space {${\bf P}\sp 2$}. In particular, we show some sufficient condition for the Lebesgue measure of its Julia set to be equal to 0.
Citation
Tomoko Shinohara. "Dynamics of polynomial maps on {${\bf C}\sp 2$} whose all unbounded orbits converge to one point." Kodai Math. J. 25 (1) 15 - 42, 2002. https://doi.org/10.2996/kmj/1106171073
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