4 research outputs found
Dynamics of transcendental Hénon maps-II
Transcendental Henon maps are the natural extensions of the well investigated complex polynomial Henon maps to the much larger class of holomorphic automorphisms. We prove here that transcendental Henon maps always have non-trivial dynamical behavior, namely that they always admit both periodic and escaping orbits, and that their Julia sets are non-empty and perfect
An embedding of â„‚ in â„‚ 2 with hyperbolic complement
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46249/1/208_2005_Article_BF01445264.pd
Classification of recurrent domains for some holomorphic maps
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46244/1/208_2005_Article_BF01446660.pd
Oka's inequality for currents and applications
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46241/1/208_2005_Article_BF01446636.pd