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arXiv · 1212.5272

On the growth of local intersection multiplicities in holomorphic dynamics: a conjecture of Arnold

William Gignac
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Abstract

We show by explicit example that local intersection multiplicities in holomorphic dynamical systems can grow arbitrarily fast, answering a question of V. I. Arnold. On the other hand, we provide results showing that such behavior is exceptional, and that typically local intersection multiplicities grow subexponentially.

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William Gignac. 2014-02-25. On the growth of local intersection multiplicities in holomorphic dynamics: a conjecture of Arnold. https://arxiv.org/abs/1212.5272

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