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Results overview: Found 6 records in 0.02 seconds.
Articles, 5 records found
Research literature, 1 records found
Articles 5 records found  
1.
40 p, 2.2 MB Stable components in the parameter plane of transcendental functions of finite type / Fagella Rabionet, Núria (Barcelona Graduate School of Mathematics (BGSMath)) ; Keen, Linda (CUNY Graduate Center (USA))
We study the parameter planes of certain one-dimensional, dynamically-defined slices of holomorphic families of entire and meromorphic transcendental maps of finite type. Our planes are defined by constraining the orbits of all but one of the singular values, and leaving free one asymptotic value. [...]
2020 - 10.1007/s12220-020-00458-3
Journal of Geometric Analysis, vol. 31 (July 2020) p. 4816-4855  
Detailed record -
2.
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
3.
40 p, 10.0 MB Dynamic rays of bounded-type transcendental self-maps of the punctured plane / Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Martí-Pete, David (Open University. School of Mathematics and Statistics (UK))
We study the escaping set of functions in the class B∗, that is, transcendental self-maps of ℂ∗ for which the set of singular values is contained in a compact annulus of ℂ∗ that separates zero from infinity. [...]
2017 - 10.3934/dcds.2017134
Discrete and continuous dynamical systems. Series A, Vol. 37, Issue 6 (June 2017) , p. 3123-3160  
Detailed record -
4.
19 p, 594.1 KB Fatou components and singularities of meromorphic functions / Barański, Krzysztof (University of Warsaw. Institute of Mathematics (Poland)) ; Fagella Rabionet, Núria (Universitat de Barcelona. Institut de Matemàtiques) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Institut de Matemàtiques) ; Karpińska, Bogusława (Warsaw University of Technology (Poland))
We prove several results concerning the relative position of points in the postsingular set P(f) of a meromorphic map f and the boundary of a Baker domain or the successive iterates of a wandering component. [...]
2020 - 10.1017/prm.2018.142
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 150, Issue 2 (April 2020) , p. 633-654  
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5.
17 p, 411.0 KB Singularities of inner functions associated with hyperbolic maps / Evdoridou, Vasiliki (The Open University) ; Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Sixsmith, David J. (University of Liverpool)
Let f be a function in the Eremenko-Lyubich class B, and let U be an unbounded, forward invariant Fatou component of f. We relate the number of singularities of an inner function associated to f $w ith the number of tracts of f. [...]
2019 - 10.1016/j.jmaa.2019.04.045
Journal of mathematical analysis and applications, Vol. 477, Issue 1 (September 2019) , p. 536-550  
Detailed record -

Research literature 1 records found  
1.
112 p, 4.9 MB Connectivity of Julia sets of transcendental meromorphic functions / Taixés, Jordi ; Fagella Rabionet, Núria, dir. (Universitat de Barcelona. Grup de Sistemes Dinàmics) ; Jarque i Ribera, Xavier, dir. (Universitat de Barcelona)
Newton's method associated to a complex holomorphic function f is defined by the dynamical system Nf(z) = z - f(z) / f'(z). As a root-finding algorithm, a natural question is to understand the dynamics of Nf about its fixed points, as they correspond to the roots of the function f. [...]
[Barcelona] : Universitat de Barcelona 2011  
Detailed record - Creative Commons

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