Quasiconformal Surgery in Holomorphic Dynamics. With Bodil Branner . Cambridge Studies in Advanced Mathematics, Cambridge University Press, 2014. DOI.
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.
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
Non-autonomous dynamics of inner functions: mixing and entropy. With V. Evdoridou, P. J. Rippon and G. Stallard. arXiv:2609.31476v2
A universal model for the bifurcations of asymptotic values . With M. Astorg and A. M. Benini. arXiv:2603.15466v1
Bifurcation loci of families of finite type meromorphic maps. With M. Astorg and A. M. Benini. arXiv:2107.02663v3 .
Papers in journals
Teichmüller spaces and normal forms associated to wandering domains. With G. R. Ferreira, L. Pardo-Simón. To appear in Int. Math. Res. Not.. ArXiv:2512.01136
Bifurcations in families of Ahlfors Islands maps. With M. Astorg and A. M. Benini. To appear in Indiana Univ. Math. J. ArXiv:2410.04180.
From pathological to paradigmatic: A retrospective on Eremenko and Lyubich’s entire functions. With L. Pardo-Simón. J. London Math. Soc., 113 (2026): e70382 [DOI:10.1112/jlms.70382].
Shrinking targets and recurrent behaviour for forward compositions of inner functions. With A. M. Benini, V. Evdoridou, P. J. Rippon and G. Stallard. J. de Mat. Pures et Appl., 208 (2026) 103864, ISSN 0021-7824, [DOI:10.1016/j.matpur.2026.103864]
Grand orbit relations in wandering domains. With V. Evdoridou, L. Geyer, L. Pardo-Simón. Rev. Iberoamericana 42 (2026) n.5, 1599-1636. [DOI:10.4171/RMI/1631]
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.
Boundary dynamics in unbounded Fatou components. With Anna Jové. Trans. AMS 378 (2025), 2321-2362. DOI.
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.
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.
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.
A model for boundary dynamics of Baker domains. With A. Jové. Math. Z. 303 (2023), n. 4, Paper 95, 36pp. DOI.
Dos teoremes i una demostració, per Dennis Sullivan. WIth Joan Porti. Butll. Soc. Cat. Mat. 38 (2023), 143–164. DOI
Classfying simply connected wandering domains. With A. M. Benini, V. Evdoridou, P. J. Rippon and G. Stallard. Math. Ann. 383, 1127-1178 (2022). DOI.
Dynamical mechanism behind ghosts unveiled in a map complexification. With J. Canela, L. Alsedà and J. Sardanyés. Chaos Sol. & Fract. 156 (2022). DOI
Stable components in transcendental parameter spaces. With Linda Keen. J. Geom. Anal. 31 (2021), 4816-4855. DOI
A bound on the number of rationally invisible repelling orbits. With Anna Miriam Benini. Adv. Math. 370 (2020). DOI.
Singular values and non-repelling cycles for entire transcendental maps. With Anna Miriam Benini. Indiana.Univ. Math. J. 69 (2020), 107214:1-28. DOI
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
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.
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
Univalent wandering domains in the Eremenko-Lyubich class. With X. Jarque and K. Lazebnik. J. Anal. Math. 139 (2019), 369-395. DOI
Escaping points in the boundaries of Baker domains. With K. Baranski, X. Jarque and B. Karpinska. J. Anal. Math. 137 (2019), 679-706. DOI
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
Singular values and bounded Siegel disks. With Anna Miriam Benini. Math. Proc. of the Camb. Phil. Soc. 65 (2018), 249-265. DOI
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.
The fine structure of Herman rings. With Christian Henriksen. J. of Geom. Anal. 27(2017), 2381–2399. DOI
Accesses to infinity from Fatou components. With K. Baranski, X. Jarque and B. Karpinska. Trans. of the AMS 369 (2017), 1835-1867. DOI
Tongues in degree 4 Blaschke products. With Jordi Canela and Antonio Garijo. Nonlinearity 29 (2016), 3464–3495. DOI
Hyperbolic entire functions with bounded Fatou components. With Walter Bergweiler and Lasse Rempe. Comment. Math.Helv. 90 (2015), 799–829. DOI
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
A separation theorem for entire transcendental maps. With Anna Miriam Benini. Proc. of the LMS 110 (2015), 478–496. DOI
Wandering domains for composition of entire functions. With S. Godillon and X. Jarque. J. Math. Anal. Appl. 429 (2015), 478–496. DOI
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
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
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
On the configuration of Herman rings of meromorphic functions. With Jörn Peters. J. Math. Anal. and Appl. 394 (2012), 458–467. DOI
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
Benoît B. Mandelbrot, scientist and mathematician (Catalan). With Xavier Jarque. SCM Notícies No. 30 (2011), 20–23.
An Entire Transcendental Family with a Persistent Siegel Disk. With Rubén Berenguel. J. Diff. Eq. and App. 16 (2010), 523–553. DOI
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
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
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
Invariants en Dinàmica Complexa. Butll. Soc. Cat. Mat. 23 (2008), 23–51. DOI
The Parameter Planes of λz^m exp(z) for m≥ 2. With Antonio Garijo. Comm. Math. Phys. 273 (2007), 755–783. DOI
Deformations of Entire Functions with Baker Domains. With Christian Henriksen. Disc. and Cont. Dyn. Syst. Ser. A 15 (2006), 379–394. DOI
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
Herman Rings and Arnold Disks. With X. Buff, L. Geyer and C. Henriksen J. of the Lon. Math. Soc. 72 (2005), 689–716. DOI
Existence of Herman Rings for Meromorphic Functions. With Patricia Domínguez. Compl. Var. and Appl. 49 (2004), 851–870. DOI
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
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
Surgery on Herman Rings of the Complex Standard Family. With Lukas Geyer, Erg Th. and Dyn. Sys. 23 (2003), 493–508. DOI
Hyperbolic Components of the Exponential Family. With Robert L. Devaney and Xavier Jarque. Fund. Math. 174 (2002), 193–215. DOI
Extension of Homeomorphisms between Limbs of the Mandelbrot Set. With Bodil Branner. Conf. Geom. and Dyn. 5 (2001), 100-139. DOI
Univalent Baker Domains. With Krzysztof Baranski. Nonlinearity 14 no. 3 (2001), 411-429. DOI
Dynamics on Hubbard Trees. With Lluís Alsedà. Fund. Math. 164 (2000), 115-141. DOI
Periodic Points of Holomorphic Maps via Lefschetz Numbers. With Jaume Llibre. Trans. Amer. Math. Soc. 352 (2000), 4711-4730. DOI
El conjunt de Mandelbrot i altres Plans de Bifurcació. Butll. Soc. Cat. Mat.15 (2000), 35-54. Link.
Dynamics of the Complex Standard Family. J. of Math. Anal. and Appl. 229 (1999), 1-31. DOI
Homeomorphisms between Limbs of the Mandelbrot Set. With Bodil Branner. J. of Geom. Anal., 9 (1999), 327-390. DOI
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.
Limiting Dynamics for the Complex Standard Family. Int. J. of Bif. and Chaos 3 (1995), 673-700. DOI
