Fixed points and critical points in higher dimensional complex dynamics

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I studied complex dynamics in higher dimension from the point of view of complex analysis of several complex variables. In particular, I investigated the phenomenon of implosion, i.e., the discontinuous change of (filled) Julia set that occur when a semi-parabolic and semi-attracting fixed point of a Henon mapping is perturbed. Also I investigated the dynamics of holomorphic self mappings of complex projective spaces. By tracking the orbit of the critical set, I obtained the condition for the set of repelling periodic points is dense in the projective space.