A construction of a complete bounded null curve in $\mathbb{C}^3$
  We construct a complete bounded immersed null holomorphic curve in C^3, which is a recovery of the previous version of the paper   Calc. Var. and PDE's vol 36 (2009); Erratum: to appear in Calc. Var. and PDE's, doi:10.1007/s00526-009-0226-5 by the last three authors on this subject. 
Leonor Ferrer, Francisco Martin, Masaaki Umehara, Kotaro Yamada