A decomposition theorem for Herman maps

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A Decomposition Theorem for Herman Maps

In 1980s, Thurston established a topological characterization theorem for postcritically finite rational maps. In this paper, a decomposition theorem for a class of postcritically infinite branched covering termed ‘Herman map’ is developed. It’s shown that every Herman map can be decomposed along a stable multicurve into finitely many Siegel maps and Thurston maps, such that the combinations an...

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2014

ISSN: 0001-8708

DOI: 10.1016/j.aim.2014.09.004