{"id":3333,"date":"2025-08-08T01:07:04","date_gmt":"2025-08-08T00:07:04","guid":{"rendered":"https:\/\/www.ub.edu\/dynsys\/?page_id=3333"},"modified":"2025-08-09T20:56:38","modified_gmt":"2025-08-09T19:56:38","slug":"publications","status":"publish","type":"page","link":"https:\/\/www.ub.edu\/dynsys\/nfagella\/publications\/","title":{"rendered":"–nfagella-publications"},"content":{"rendered":"\n
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N\u00faria Fagella<\/h3>\n\n\n\n
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Home<\/a><\/p>\n\n\n\n

Biosketch<\/a><\/p>\n\n\n\n

CV<\/a><\/p>\n\n\n\n

Publications<\/a><\/p>\n\n\n\n

Gallery<\/a><\/p>\n\n\n\n

Holodyn Team<\/a><\/p>\n\n\n\n

UB-Dynamics<\/a><\/p>\n<\/div>\n\n\n\n

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Publications<\/h3>\n\n\n\n

Books<\/h5>\n\n\n\n
    \n
  1. Quasiconformal Surgery in Holomorphic Dynamics. <\/em>With Bodil Branner .
    Cambridge Studies in Advanced Mathematics, Cambridge University Press, 2014.     DOI<\/a>. <\/li>\n\n\n\n
  2. Iteraci\u00f3n Compleja y Fractales<\/em>. With Xavier Jarque.
    Ense\u00f1ar y Saber en el Siglo XXI, Vol. 8. ISBN 978-84-316-0996-5. Vicens Vives, 2007.<\/li>\n\n\n\n
  3. Dynamics at DEA 2019, Special issue of Discrete and Continuous Dynamical System A 40(12) (2020).
    Ed. M. Capinski, N. Fagella, M. Misiurewicz, W. Shen, B.Weiss and K. Cieplinski<\/li>\n<\/ol>\n\n\n\n
    Preprints<\/h5>\n\n\n\n
      \n
    1. Grand orbit relations in wandering domains<\/em>. With V. Evdoridou, L. Geyer, L. Pardo-Sim\u00f3n. arXiv:2405.15667v1<\/a>.<\/li>\n\n\n\n
    2. Shrinking targets and recurrent behaviour for forward compositions of inner functions.<\/em> With A. M. Benini, V. Evdoridou, P. J. Rippon and G. Stallard. ArXiv:2405.11866<\/a>.<\/li>\n\n\n\n
    3. Bifurcations in families of Ahlfors Islands maps.<\/em> With M. Astorg and A. M. Benini. ArXiv:2410.04180.<\/a><\/li>\n\n\n\n
    4. Bifurcation loci of families of finite type meromorphic maps<\/em>. With M. Astorg and A. M. Benini. ArXiv:2107.02663<\/a> .<\/li>\n<\/ol>\n\n\n\n
      Papers in journals<\/h5>\n\n\n\n
        \n
      1. On the parameter space of fibered hyperbolic polynomials<\/em>. With Robert Florido.
        J. Geom. Anal. 35 (2025), no.~8, Paper No. 233, 26 pp.         DOI<\/a>. Link<\/a>.<\/li>\n\n\n\n
      2. Boundary dynamics in unbounded Fatou components<\/em>. With Anna Jov\u00e9.
        Trans. AMS 378 (2025), 2321-2362.         DOI<\/a>.<\/li>\n\n\n\n
      3. Local connectivity of boundaries of tame Fatou components of meromorphic functions.<\/em> With K. Baranski, X. Jarque and B. Karpinska.
        Math. Ann. (2024) 391, 1779\u20131843.         DOI<\/a>.<\/li>\n\n\n\n
      4. Dynamics of projectable functions: Towards an atlas of wandering domains for a family of Newton maps.<\/em> With Robert Florido.
        Proc. Roy. Soc. Edinburgh Sect. (2024), 1-50.         DOI.<\/a><\/li>\n\n\n\n
      5. Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains.<\/em> With A. M. Benini, V. Evdoridou, P. J. Rippon and G. Stallard.
        Adv. Math., 446 (2024), 109673, 51pp.         DOI.<\/a> <\/li>\n\n\n\n
      6. A model for boundary dynamics of Baker domains.<\/em> With A. Jov\u00e9.
        Math. Z. 303 (2023), n. 4, Paper 95, 36pp.         DOI<\/a>.<\/li>\n\n\n\n
      7. Dos teoremes i una demostraci\u00f3, per Dennis Sullivan<\/em>. WIth Joan Porti.
        Butll. Soc. Cat. Mat. 38 (2023), 143\u2013164.         DOI<\/a><\/li>\n\n\n\n
      8. Classfying simply connected wandering domains.<\/em> With A. M. Benini, V. Evdoridou, P. J. Rippon and G. Stallard.
        Math. Ann. 383, 1127-1178 (2022).\u00a0        DOI.<\/a><\/li>\n\n\n\n
      9. Dynamical mechanism behind ghosts unveiled in a map complexification. <\/em>With
        J. Canela, L. Alsed\u00e0 and J. Sardany\u00e9s.\u00a0
        Chaos Sol. & Fract. 156 (2022).         DOI<\/a><\/li>\n\n\n\n
      10. Stable components in transcendental parameter spaces.<\/em> With Linda Keen.
        J. Geom. Anal. 31 (2021), 4816-4855.\u00a0        DOI<\/a><\/li>\n\n\n\n
      11. A bound on the number of rationally invisible repelling orbits.<\/em> With Anna Miriam Benini.
        Adv. Math. 370 (2020).         DOI.<\/a><\/li>\n\n\n\n
      12. Singular values and non-repelling cycles for entire transcendental maps.<\/em> With Anna Miriam Benini.
        Indiana.Univ. Math. J. 69 (2020), 107214:1-28.         DOI<\/a><\/li>\n\n\n\n
      13. Fatou components and singularities of meromorphic functions.<\/em> With K. Baranski, X. Jarque and B. Karpinska.
        Proc. Roy. Soc. Edinburgh Sect. 150 (2020), 633-654.         DOI<\/a><\/li>\n\n\n\n
      14. A fractalization route for affine skew-products on the complex plane<\/em>. With A. Jorba, M. Jorba-Cusc\u00f3 and J. C. Tatjer.
        Disc. Cont. Dyn. Syst. Ser.A 39 (2019), 3767-378.         DOI<\/a>.<\/li>\n\n\n\n
      15. Singularities of inner functions associated with hyperbolic maps<\/em>. With V. Evdoridou, X. Jarque and D. Sixsmith,
        J. Math. Anal. App. 477 (2019), 536-550.         DOI<\/a><\/li>\n\n\n\n
      16. Univalent wandering domains in the Eremenko-Lyubich class<\/em>. With X. Jarque and K. Lazebnik.
        J. Anal. Math. 139 (2019), 369-395.         DOI<\/a><\/li>\n\n\n\n
      17. Escaping points in the boundaries of Baker domains.<\/em> With K. Baranski, X. Jarque and B. Karpinska.
        J. Anal. Math. 137 (2019), 679-706.         DOI<\/a><\/li>\n\n\n\n
      18. Connectivity of Julia sets of Newton maps: a unified approach.<\/em> With K. Baranski, X. Jarque and B. Karpinska.
        Rev. Mat. Iber. 34 (2018), 1211-1228.         DOI<\/a><\/li>\n\n\n\n
      19. Singular values and bounded Siegel disks.<\/em> With Anna Miriam Benini.
        Math. Proc. of the Camb. Phil. Soc. 65 (2018), 249-265.         DOI<\/a><\/li>\n\n\n\n
      20. Dynamic rays of bounded-type transcendental self-maps of the punctured plane.<\/em> With David Mart\u00ed-Pete.
        Disc. and Cont. Dyn. Syst. 37 (2017), 3123-3160.         DOI<\/a>. <\/li>\n\n\n\n
      21. The fine structure of Herman rings. <\/em>With Christian Henriksen.
        J. of Geom. Anal. 27(2017), 2381\u20132399.         DOI<\/a><\/li>\n\n\n\n
      22. Accesses to infinity from Fatou components<\/em>. With K. Baranski, X. Jarque and B. Karpinska.
        Trans. of the AMS 369 (2017), 1835-1867.         DOI<\/a><\/li>\n\n\n\n
      23. Tongues in degree 4 Blaschke products<\/em>. With Jordi Canela and Antonio Garijo.
        Nonlinearity 29 (2016), 3464\u20133495.         DOI<\/a><\/li>\n\n\n\n
      24. Hyperbolic entire functions with bounded Fatou components.<\/em> With Walter Bergweiler and Lasse Rempe.
        Comment. Math.Helv. 90 (2015), 799\u2013829.         DOI<\/a><\/li>\n\n\n\n
      25. Absorbing sets and baker domains for holomorphic maps. <\/em>With K. Baranski, X. Jarque and B. Karpinska.
        J. of the LMS 92 (2015), 478\u2013496.         DOI<\/a><\/li>\n\n\n\n
      26. A separation theorem for entire transcendental maps.<\/em> With Anna Miriam Benini.
        Proc. of the LMS 110 (2015), 478\u2013496.         DOI<\/a><\/li>\n\n\n\n
      27. Wandering domains for composition of entire functions. <\/em>With S. Godillon and X. Jarque.
        J. Math. Anal. Appl. 429 (2015), 478\u2013496.         DOI<\/a><\/li>\n\n\n\n
      28. On a family of rational perturbations of the doubling map.<\/em> With Jordi Canela and Antonio Garijo.
        J. Difference Equ. Appl. 21(8) (2015), 715\u2013741.         DOI<\/a><\/li>\n\n\n\n
      29. On the connectivity of Julia sets of meromorphic functions.<\/em> With K. Baranski, X. Jarque and B. Karpinska.
        Invent. Math. 198 (3) (2014), 591\u2013636.         DOI<\/a><\/li>\n\n\n\n
      30. Sierpinski curve Julia sets for quadratic rational maps.<\/em> With R. L. Devaney, A. Garijo, and X. Jarque.
        Ann. Acad. Sci. Fenn. Ser. A I Math. 39 (2014), 3\u201322.         DOI<\/a><\/li>\n\n\n\n
      31. On the configuration of Herman rings of meromorphic functions. <\/em>With J\u00f6rn Peters.
        J. Math. Anal. and Appl. 394 (2012), 458\u2013467.         DOI<\/a><\/li>\n\n\n\n
      32. On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II<\/em>. With X. Jarque and J. Taix\u00e9s.
        Fund. Math. 215 (2011), 177\u2013202.         DOI<\/a><\/li>\n\n\n\n
      33. Beno\u00eet B. Mandelbrot, scientist and mathematician<\/em> (Catalan). With Xavier Jarque.
        SCM Not\u00edcies No. 30 (2011), 20\u201323.<\/li>\n\n\n\n
      34. An Entire Transcendental Family with a Persistent Siegel Disk. <\/em>With Rub\u00e9n Berenguel.
        J. Diff. Eq. and App. 16 (2010), 523\u2013553.         DOI<\/a><\/li>\n\n\n\n
      35. On Connectivity of Julia Sets of Transcendental Meromorphic Maps and Weakly repelling Fixed Points I<\/em>. With X. Jarque and J. Taix\u00e9s.
        Proc. Lond. Math. Soc. 97 (2009), 599\u2013622.         DOI<\/a><\/li>\n\n\n\n
      36. The Teichm\u00fcller Space of an Entire Function<\/em>. With Christian Henriksen.
        In \u201cComplex Dynamics: Families and Friends\u201d, pp. 297\u2013330. Ed. D. Schleicher. A. K. Peters, Ltd., 2008.         DOI<\/a><\/li>\n\n\n\n
      37. Residual Julia Sets of Rational and Transcendental Functions. <\/em>With Patricia Dom\u00ednguez.
        In \u201cTranscendental Dynamics and Complex Analysis\u201d, Ed. P. Rippon and G. Stallard, LMS Lecture Note Series Vol. 348, 138\u2013164. Cambridge University Press, 2008.         DOI<\/a><\/li>\n\n\n\n
      38. Invariants en Din\u00e0mica Complexa.<\/em>
        Butll. Soc. Cat. Mat. 23 (2008), 23\u201351.         DOI<\/a><\/li>\n\n\n\n
      39. The Parameter Planes of \u03bbz^m exp(z) for m\u2265 2.<\/em> With Antonio Garijo.
        Comm. Math. Phys. 273 (2007), 755\u2013783.         DOI<\/a><\/li>\n\n\n\n
      40. Deformations of Entire Functions with Baker Domains.<\/em> With Christian Henriksen.
        Disc. and Cont. Dyn. Syst. Ser. A 15 (2006), 379\u2013394.         DOI<\/a><\/li>\n\n\n\n
      41. Arnold Disks and the Moduli of Herman Rings of the Complex Standard Family. <\/em>With Christian Henriksen.
        In \u201dDynamics on the Riemann Sphere. A Bodil Branner Festschrift\u201d Ed. P. Hjorth and C. Petersen, 2006, pp. 161\u2013182.         DOI<\/a><\/li>\n\n\n\n
      42. Herman Rings and Arnold Disks. <\/em>With X. Buff, L. Geyer and C. Henriksen
        J. of the Lon. Math. Soc. 72 (2005), 689\u2013716.         DOI<\/a><\/li>\n\n\n\n
      43. Existence of Herman Rings for Meromorphic Functions.<\/em> With Patricia Dom\u00ednguez.
        Compl. Var. and Appl. 49 (2004), 851\u2013870.         DOI<\/a><\/li>\n\n\n\n
      44. Asymptotic Size of Herman Rings of the Complex Standard Family by Quantitative Quasiconformal Surgery.<\/em> With
        T. Martinez-Seara and J. Villanueva.
        Erg Th. and Dyn. Sys. 24 (2004), 735\u2013766.         DOI<\/a><\/li>\n\n\n\n
      45. Capture zones of the family of functions \u03bbz^m exp(z). <\/em>With Antonio Garijo.
        Int. J. of Bif. and Chaos. 13 (2003), 2623\u20132640.         DOI<\/a><\/li>\n\n\n\n
      46. Surgery on Herman Rings of the Complex Standard Family. <\/em>With Lukas Geyer,
        Erg Th. and Dyn. Sys. 23 (2003), 493\u2013508.         DOI<\/a><\/li>\n\n\n\n
      47. Hyperbolic Components of the Exponential Family. <\/em>With Robert L. Devaney and Xavier Jarque.
        Fund. Math. 174 (2002), 193\u2013215.         DOI<\/a><\/li>\n\n\n\n
      48. Extension of Homeomorphisms between Limbs of the Mandelbrot Set<\/em>. With Bodil Branner.
        Conf. Geom. and Dyn. 5 (2001), 100-139.         DOI<\/a><\/li>\n\n\n\n
      49. Univalent Baker Domains. <\/em>With Krzysztof Baranski.
        Nonlinearity 14 no. 3 (2001), 411-429.         DOI<\/a><\/li>\n\n\n\n
      50. Dynamics on Hubbard Trees. <\/em>With Llu\u00eds Alsed\u00e0.
        Fund. Math. 164 (2000), 115-141.         DOI<\/a><\/li>\n\n\n\n
      51. Periodic Points of Holomorphic Maps via Lefschetz Numbers. <\/em>With Jaume Llibre.
        Trans. Amer. Math. Soc. 352 (2000), 4711-4730.         DOI<\/a><\/li>\n\n\n\n
      52. El conjunt de Mandelbrot i altres Plans de Bifurcaci\u00f3.<\/em>
        Butll. Soc. Cat. Mat.15 (2000), 35-54.         Link.<\/a><\/li>\n\n\n\n
      53. Dynamics of the Complex Standard Family.<\/em>
        J. of Math. Anal. and Appl. 229 (1999), 1-31.         DOI<\/a><\/li>\n\n\n\n
      54. Homeomorphisms between Limbs of the Mandelbrot Set. <\/em>With Bodil Branner.
        J. of Geom. Anal., 9 (1999), 327-390.         DOI<\/a><\/li>\n\n\n\n
      55. Surgery on the Limbs of the Mandelbrot set.<\/em>
        In \u201dProgress in Holomorphic Dynamics\u201d, Ed. Hartje Kriete, Pitman research notes vol. 387 (1999), pp 139-158.<\/li>\n\n\n\n
      56. Limiting Dynamics for the Complex Standard Family.<\/em>
        Int. J. of Bif. and Chaos 3 (1995), 673-700.         DOI<\/a><\/li>\n<\/ol>\n\n\n\n

        <\/p>\n\n\n\n

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