• Corpus ID: 236469340

Explosion points and topology of Julia sets of Zorich maps

@inproceedings{Tsantaris2021ExplosionPA,
  title={Explosion points and topology of Julia sets of Zorich maps},
  author={Athanasios Tsantaris},
  year={2021}
}
Zorich maps are higher dimensional analogues of the complex exponential map. For the exponential family λez , λ > 0, it is known that for small values of λ the Julia set is an uncountable collection of disjoint curves. The same was shown to hold for Zorich maps by Bergweiler and Nicks. In this paper we introduce a topological model for the Julia sets of certain Zorich maps, similar to the so called straight brush of Aarts and Oversteegen. As a corollary we show that ∞ is an explosion point for… 
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