Núria Fagella

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Holodyn Team

UB-Dynamics

Publications

Books
  1. Quasiconformal Surgery in Holomorphic Dynamics. With Bodil Branner .
    Cambridge Studies in Advanced Mathematics, Cambridge University Press, 2014. DOI.
  2. Iteración Compleja y Fractales. With Xavier Jarque.
    Enseñar y Saber en el Siglo XXI, Vol. 8. ISBN 978-84-316-0996-5. Vicens Vives, 2007.
  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
Preprints
  1. Grand orbit relations in wandering domains. With V. Evdoridou, L. Geyer, L. Pardo-Simón. arXiv:2405.15667v1.
  2. Shrinking targets and recurrent behaviour for forward compositions of inner functions. With A. M. Benini, V. Evdoridou, P. J. Rippon and G. Stallard. ArXiv:2405.11866.
  3. Bifurcations in families of Ahlfors Islands maps. With M. Astorg and A. M. Benini. ArXiv:2410.04180.
  4. Bifurcation loci of families of finite type meromorphic maps. With M. Astorg and A. M. Benini. ArXiv:2107.02663 .
Papers in journals
  1. On the parameter space of fibered hyperbolic polynomials. With Robert Florido.
    J. Geom. Anal. 35 (2025), no.~8, Paper No. 233, 26 pp. DOI. Link.
  2. Boundary dynamics in unbounded Fatou components. With Anna Jové.
    Trans. AMS 378 (2025), 2321-2362. DOI.
  3. Local connectivity of boundaries of tame Fatou components of meromorphic functions. With K. Baranski, X. Jarque and B. Karpinska.
    Math. Ann. (2024) 391, 1779–1843. DOI.
  4. Dynamics of projectable functions: Towards an atlas of wandering domains for a family of Newton maps. With Robert Florido.
    Proc. Roy. Soc. Edinburgh Sect. (2024), 1-50. DOI.
  5. Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains. With A. M. Benini, V. Evdoridou, P. J. Rippon and G. Stallard.
    Adv. Math., 446 (2024), 109673, 51pp. DOI.
  6. A model for boundary dynamics of Baker domains. With A. Jové.
    Math. Z. 303 (2023), n. 4, Paper 95, 36pp. DOI.
  7. Dos teoremes i una demostració, per Dennis Sullivan. WIth Joan Porti.
    Butll. Soc. Cat. Mat. 38 (2023), 143–164. DOI
  8. Classfying simply connected wandering domains. With A. M. Benini, V. Evdoridou, P. J. Rippon and G. Stallard.
    Math. Ann. 383, 1127-1178 (2022). DOI.
  9. Dynamical mechanism behind ghosts unveiled in a map complexification. With
    J. Canela, L. Alsedà and J. Sardanyés. 
    Chaos Sol. & Fract. 156 (2022). DOI
  10. Stable components in transcendental parameter spaces. With Linda Keen.
    J. Geom. Anal. 31 (2021), 4816-4855. DOI
  11. A bound on the number of rationally invisible repelling orbits. With Anna Miriam Benini.
    Adv. Math. 370 (2020). DOI.
  12. Singular values and non-repelling cycles for entire transcendental maps. With Anna Miriam Benini.
    Indiana.Univ. Math. J. 69 (2020), 107214:1-28. DOI
  13. Fatou components and singularities of meromorphic functions. With K. Baranski, X. Jarque and B. Karpinska.
    Proc. Roy. Soc. Edinburgh Sect. 150 (2020), 633-654. DOI
  14. A fractalization route for affine skew-products on the complex plane. With A. Jorba, M. Jorba-Cuscó and J. C. Tatjer.
    Disc. Cont. Dyn. Syst. Ser.A 39 (2019), 3767-378. DOI.
  15. Singularities of inner functions associated with hyperbolic maps. With V. Evdoridou, X. Jarque and D. Sixsmith,
    J. Math. Anal. App. 477 (2019), 536-550. DOI
  16. Univalent wandering domains in the Eremenko-Lyubich class. With X. Jarque and K. Lazebnik.
    J. Anal. Math. 139 (2019), 369-395. DOI
  17. Escaping points in the boundaries of Baker domains. With K. Baranski, X. Jarque and B. Karpinska.
    J. Anal. Math. 137 (2019), 679-706. DOI
  18. Connectivity of Julia sets of Newton maps: a unified approach. With K. Baranski, X. Jarque and B. Karpinska.
    Rev. Mat. Iber. 34 (2018), 1211-1228. DOI
  19. Singular values and bounded Siegel disks. With Anna Miriam Benini.
    Math. Proc. of the Camb. Phil. Soc. 65 (2018), 249-265. DOI
  20. Dynamic rays of bounded-type transcendental self-maps of the punctured plane. With David Martí-Pete.
    Disc. and Cont. Dyn. Syst. 37 (2017), 3123-3160. DOI.
  21. The fine structure of Herman rings. With Christian Henriksen.
    J. of Geom. Anal. 27(2017), 2381–2399. DOI
  22. Accesses to infinity from Fatou components. With K. Baranski, X. Jarque and B. Karpinska.
    Trans. of the AMS 369 (2017), 1835-1867. DOI
  23. Tongues in degree 4 Blaschke products. With Jordi Canela and Antonio Garijo.
    Nonlinearity 29 (2016), 3464–3495. DOI
  24. Hyperbolic entire functions with bounded Fatou components. With Walter Bergweiler and Lasse Rempe.
    Comment. Math.Helv. 90 (2015), 799–829. DOI
  25. Absorbing sets and baker domains for holomorphic maps. With K. Baranski, X. Jarque and B. Karpinska.
    J. of the LMS 92 (2015), 478–496. DOI
  26. A separation theorem for entire transcendental maps. With Anna Miriam Benini.
    Proc. of the LMS 110 (2015), 478–496. DOI
  27. Wandering domains for composition of entire functions. With S. Godillon and X. Jarque.
    J. Math. Anal. Appl. 429 (2015), 478–496. DOI
  28. On a family of rational perturbations of the doubling map. With Jordi Canela and Antonio Garijo.
    J. Difference Equ. Appl. 21(8) (2015), 715–741. DOI
  29. On the connectivity of Julia sets of meromorphic functions. With K. Baranski, X. Jarque and B. Karpinska.
    Invent. Math. 198 (3) (2014), 591–636. DOI
  30. Sierpinski curve Julia sets for quadratic rational maps. With R. L. Devaney, A. Garijo, and X. Jarque.
    Ann. Acad. Sci. Fenn. Ser. A I Math. 39 (2014), 3–22. DOI
  31. On the configuration of Herman rings of meromorphic functions. With Jörn Peters.
    J. Math. Anal. and Appl. 394 (2012), 458–467. DOI
  32. On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II. With X. Jarque and J. Taixés.
    Fund. Math. 215 (2011), 177–202. DOI
  33. Benoît B. Mandelbrot, scientist and mathematician (Catalan). With Xavier Jarque.
    SCM Notícies No. 30 (2011), 20–23.
  34. An Entire Transcendental Family with a Persistent Siegel Disk. With Rubén Berenguel.
    J. Diff. Eq. and App. 16 (2010), 523–553. DOI
  35. On Connectivity of Julia Sets of Transcendental Meromorphic Maps and Weakly repelling Fixed Points I. With X. Jarque and J. Taixés.
    Proc. Lond. Math. Soc. 97 (2009), 599–622. DOI
  36. The Teichmüller Space of an Entire Function. With Christian Henriksen.
    In “Complex Dynamics: Families and Friends”, pp. 297–330. Ed. D. Schleicher. A. K. Peters, Ltd., 2008. DOI
  37. Residual Julia Sets of Rational and Transcendental Functions. With Patricia Domínguez.
    In “Transcendental Dynamics and Complex Analysis”, Ed. P. Rippon and G. Stallard, LMS Lecture Note Series Vol. 348, 138–164. Cambridge University Press, 2008. DOI
  38. Invariants en Dinàmica Complexa.
    Butll. Soc. Cat. Mat. 23 (2008), 23–51. DOI
  39. The Parameter Planes of λz^m exp(z) for m≥ 2. With Antonio Garijo.
    Comm. Math. Phys. 273 (2007), 755–783. DOI
  40. Deformations of Entire Functions with Baker Domains. With Christian Henriksen.
    Disc. and Cont. Dyn. Syst. Ser. A 15 (2006), 379–394. DOI
  41. Arnold Disks and the Moduli of Herman Rings of the Complex Standard Family. With Christian Henriksen.
    In ”Dynamics on the Riemann Sphere. A Bodil Branner Festschrift” Ed. P. Hjorth and C. Petersen, 2006, pp. 161–182. DOI
  42. Herman Rings and Arnold Disks. With X. Buff, L. Geyer and C. Henriksen
    J. of the Lon. Math. Soc. 72 (2005), 689–716. DOI
  43. Existence of Herman Rings for Meromorphic Functions. With Patricia Domínguez.
    Compl. Var. and Appl. 49 (2004), 851–870. DOI
  44. Asymptotic Size of Herman Rings of the Complex Standard Family by Quantitative Quasiconformal Surgery. With
    T. Martinez-Seara and J. Villanueva.
    Erg Th. and Dyn. Sys. 24 (2004), 735–766. DOI
  45. Capture zones of the family of functions λz^m exp(z). With Antonio Garijo.
    Int. J. of Bif. and Chaos. 13 (2003), 2623–2640. DOI
  46. Surgery on Herman Rings of the Complex Standard Family. With Lukas Geyer,
    Erg Th. and Dyn. Sys. 23 (2003), 493–508. DOI
  47. Hyperbolic Components of the Exponential Family. With Robert L. Devaney and Xavier Jarque.
    Fund. Math. 174 (2002), 193–215. DOI
  48. Extension of Homeomorphisms between Limbs of the Mandelbrot Set. With Bodil Branner.
    Conf. Geom. and Dyn. 5 (2001), 100-139. DOI
  49. Univalent Baker Domains. With Krzysztof Baranski.
    Nonlinearity 14 no. 3 (2001), 411-429. DOI
  50. Dynamics on Hubbard Trees. With Lluís Alsedà.
    Fund. Math. 164 (2000), 115-141. DOI
  51. Periodic Points of Holomorphic Maps via Lefschetz Numbers. With Jaume Llibre.
    Trans. Amer. Math. Soc. 352 (2000), 4711-4730. DOI
  52. El conjunt de Mandelbrot i altres Plans de Bifurcació.
    Butll. Soc. Cat. Mat.15 (2000), 35-54. Link.
  53. Dynamics of the Complex Standard Family.
    J. of Math. Anal. and Appl. 229 (1999), 1-31. DOI
  54. Homeomorphisms between Limbs of the Mandelbrot Set. With Bodil Branner.
    J. of Geom. Anal., 9 (1999), 327-390. DOI
  55. Surgery on the Limbs of the Mandelbrot set.
    In ”Progress in Holomorphic Dynamics”, Ed. Hartje Kriete, Pitman research notes vol. 387 (1999), pp 139-158.
  56. Limiting Dynamics for the Complex Standard Family.
    Int. J. of Bif. and Chaos 3 (1995), 673-700. DOI

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