arXiv:1508.04555 Abstract | arXiv Analytics

arXiv:1508.04555 [math.DS]Abstract References Reviews Resources

A Converse Landing Theorem in Parameter Spaces

Published 2015-08-19Version 1

In this article, under very general conditions for one parameter holomorphic families of holomorphic maps, for a given parabolic parameter, we give a transparent proof for landing of (a) parameter ray(s) at the parabolic parameter in question. Moreover, we partially answer the question of existence of rays in parameter spaces.

Comments: 35 pages, 7 figures

Categories: math.DS

Subjects: 30D05, 37F10

Keywords: converse landing theorem, parameter spaces, parabolic parameter, parameter holomorphic families, general conditions

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