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26 p, 425.0 KB A bound on the number of rationally invisible repelling orbits / Benini, Anna Miriam (Università di Parma. Dipartimento di Scienze Matematiche Fisiche e Informatiche (Italy)) ; Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)
We consider entire transcendental maps with bounded set of singular values such that periodic rays exist and land. For such maps, we prove a refined version of the Fatou-Shishikura inequality which takes into account rationally invisible periodic orbits, that is, repelling cycles which are not landing points of any periodic ray. [...]
2020 - 10.1016/j.aim.2020.107214
Advances in mathematics, Vol. 370 (August 2020) , art. 107214  
Detailed record - Creative Commons

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