• Corpus ID: 235743087

Bifurcation loci of families of finite type meromorphic maps

@inproceedings{Astorg2021BifurcationLO,
  title={Bifurcation loci of families of finite type meromorphic maps},
  author={Matthieu Astorg and Anna Miriam Benini and N{\'u}ria Fagella},
  year={2021}
}
. We show that J − stability is open and dense in natural families of meromorphic maps of one complex variable with a finite number of singular values, and even more generally, to finite type maps . This extends the results of Mañé-Sad-Sullivan [MSS83] for rational maps of the Riemann sphere and those of Eremenko and Lyubich [EL92] for entire maps of finite type of the complex plane, and essentially closes the problem of density of structural stability for holomorphic dynamical systems in one… 

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