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PREPRINTS and PUBLICATIONS

I am still working on this page. At some point I would like to add a link to an open access version of each paper (repository) listed below. Meanwhile, please, send me an email if you are interested in any of the articles.

Preprints

  • J. Canela, A. Garijo and X. Jarque. Boundedness and simple connectivity of the basins of attraction for some numerical methods, arXiv:2507.22704.

Articles (published or accepted)

  1. E. Fontich, A. Garijo and X. Jarque. On the basin of attraction of a critical three-cycle of a model for the secant map. Discrete and Continuous Dynamical Systems, 45(4), 1045-1078, 2025. DOI
  2. K. Baranski, N. Fagella, X. Jarque, B. Karpinska. Local connectivity of boundaries of tame Fatou components of meromorphic functions, Mathematische Annalen 391(2), 1779-1843, 2025 DOI PDF
  3. E. Fontich, A. Garijo i X. Jarque. Chaotic dynamics at the boundary of a basin of attraction via non-transversal intersections for a non-global smooth diffeomorphism, J. Nonlinear Sci. 34, 102 (2024). DOI PDF
  4. J. Canela, V. Evdoridou, A. Garijo, X. Jarque. On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub, Math. Z., 303(55), 1-22, 2023. DOI
  5. A. Garijo, X. Jarque. Dynamics of the secand map near infinity. J. Difference Equ. Appl., 28(10), 1334-1347, 2023. DOI
  6. J. Canela, X. Jarque, D. A. Paraschiv. Achievable connectivities of Fatou components for a family of singular perturbations. Discrete Contin. Dyn. Syst., 42(9), 4237-4261, 2022. DOI
  7. L. Gardini, A. Garijo, X. Jarque. Topological properties of the immediate basins of attraction for the secant method. Mediterranean J. Math., 18, 221:1-27, 2021. DOI
  8. K. Baranski, N. Fagella, X. Jarque, B. Karpinska. Fatou components and singularities of meromorphic functions. Proc. Roy. Soc. Edinburgh Sect. A, 150, 633-654, 2020. DOI
  9. A. Garijo, X. Jarque. The secant map applied to a real polynomial with multiple roots. Discrete Contin. Dyn. Syst., 40(12), 6783-6794, 2020. DOI
  10. K. Baranski, N. Fagella, X. Jarque, B. Karpinska. Escaping points in the boundaries of Baker domains. J. Anal. Math., 137(2), 679-706, 2019. DOI
  11. V. Evdoridou, N. Fagella, X. Jarque, D. J. Sixsmith. Singularities of inner functions associated with hyperbolic maps. J. Math. Anal. Appl., 477, 536-550, 2019. DOI
  12. N. Fagella, X. Jarque, K. Lazebnik. Univalent wandering domains in the Eremenko-Lyubich class. J. Anal. Math., 2019. DOI
  13. A. Garijo, X. Jarque. Global dynamics of the real secant method. Nonlinearity, 32(11), 4557-4578, 2019. DOI
  14. K. Baranski, N. Fagella, X. Jarque, B. Karpinska. Connectivity of Julia sets of Newton maps: a unified approach. Rev. Mat. Iberoam., 34(3), 1211-1228, 2018. DOI
  15. K. Baranski, N. Fagella, X. Jarque, B. Karpinska. Accesses to infinity from Fatou components. Trans. Amer. Math. Soc., 369(3), 1835-1867, 2017. DOI
  16. A. Garijo, X. Jarque, J. Villadelprat. An effective algorithm to compute Mandelbrot sets in parameter planes. Numer. Algor., 76, 555-571, 2017. DOI
  17. B. Campos, A. Garijo, X. Jarque, P. Vindel. Newton’s method for symmetric quartic polynomials. Appl. Math. Comput., 290, 326-335, 2016. DOI
  18. K. Baranski, N. Fagella, X. Jarque, B. Karpinska. Absorbing sets and baker domains for holomorphic maps. J. London Math. Soc. (2), 92(1), 144-162, 2015. DOI
  19. N. Fagella, S. Godillon, X. Jarque. Wandering domains for composition of entire functions. J. Math. Anal. Appl., 429, 478-496, 2015. DOI
  20. K. Baranski, N. Fagella, X. Jarque, B. Karpinska. On the connectivity of Julia sets of meromorphic functions. Invent. Math., 198(3), 591-636, 2014. DOI
  21. B. Campos, A. Garijo, X. Jarque, P. Vindel. Newton’s method on Bring-Jerrard polynomials. Publ. Mat., Extra, 81-109, 2014. DOI
  22. R. L. Devaney, N. Fagella, A. Garijo, X. Jarque. Sierpinski curve Julia sets for quadratic rational maps. Ann. Acad. Sci. Fenn. Math., 39, 3-22, 2014. DOI
  23. K. Baranski, X. Jarque, L. Rempe. Brushing the hairs of transcendental entire functions. Topology Appl., 159(8), 2102-2114, 2012. DOI
  24. F. Cilingir, X. Jarque. On Newton’s method applied to real polynomials. J. Difference Equ. Appl., 18(6), 1067-1076, 2012. DOI
  25. M. J. Álvarez, A. Ferragut, X. Jarque. A survey on the blow up technique. Internat. J. Bifur. Chaos Appl. Sci. Eng., 21(11), 3103-3118, 2011. DOI
  26. N. Fagella, X. Jarque, J. Taixés. On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II. Fund. Math., 215, 177-202, 2011. DOI
  27. A. Garijo, X. Jarque, M. Moreno-Rocha. Non-landing hairs in Sierpinski curve Julia sets of transcendental entire maps. Fund. Math., 214, 135-160, 2011. DOI
  28. X. Jarque. On the connectivity of the escaping set for complex exponential misiurewicz parameters. Proc. Amer. Math. Soc., 139(6), 2057-2065, 2011. DOI
  29. A. Garijo, A. Gasull, X. Jarque. A note on the period function for certain planar vector fields. J. Difference Equ. Appl., 16(5-6), 631-645, 2010. DOI
  30. A. Garijo, X. Jarque, M. Moreno-Rocha. Joining polynomial and exponential combinatorics for some entire maps. Publ. Mat., 54, 113-136, 2010. DOI
  31. N. Fagella, X. Jarque, J. Taixés. On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points I. Proc. Lond. Math. Soc. (3), 97(3), 599-622, 2008. DOI
  32. A. Garijo, A. Gasull, X. Jarque. Simultaneous bifurcation of limit cycles from two nests of periodic orbits. J. Math. Anal. Appl., 341, 813-824, 2008. DOI
  33. X. Jarque, J. Llibre, D. S. Shafer. Structurally stable quadratic foliations. Rocky Mountain J. Math., 38(2), 489-530, 2008. DOI
  34. M. A. Frutos, X. Jarque. Auctions with asymmetric common-values: the first-price format. J. Math. Econ., 43(07/08/09), 795-817, 2007. DOI
  35. A. Garijo, A. Gasull, X. Jarque. Local and global phase portrait of equation z′=f(z). Discrete Contin. Dyn. Syst., 17(2), 309-329, 2007. DOI
  36. C. Gutierrez, X. Jarque, J. Llibre, M. A. Teixeira. Global injectivity of C^1 maps of the real plane, inseparable leaves and the Palais-Smale condition. Canad. Math. Bull., 50(3), 377-389, 2007. DOI
  37. J. Caballe, X. Jarque, E. Michetti. Chaotic dynamics in credit constrained emerging economies. J. Econom. Dynam. Control, 30, 1261-1275, 2006. DOI
  38. A. Garijo, A. Gasull, X. Jarque. On the period function for a family of complex differential equations. J. Differential Equations, 224(2), 314-331, 2006. DOI
  39. R. L. Devaney, X. Jarque, M. Moreno-Rocha. Indecomposable continua and misiurewicz points in exponential dynamics. Internat. J. Bifur. Chaos Appl. Sci. Eng., 15(10), 3281-3294, 2005. DOI
  40. X. Jarque, J. Llibre, D. S. Shafer. Structural stability of planar polynomial foliations. J. Dyn. Diff. Equat., 17(3), 573-587, 2005. DOI
  41. A. Garijo, A. Gasull, X. Jarque. Normal forms for singularities of one dimensional holomorphic vector fields. Electron. J. Differential Equations, 2004(122), 1-7, 2004. PDF
  42. X. Jarque, C. Ponsati, J. Sakovics. Mediation: incomplete information bargaining with filtered communication. J. Math. Econ., 39(7), 803-830, 2003. DOI
  43. M. A. Frutos, H. Hamoudi, X. Jarque. Spatial competition with concave transport costs. Reg. Sci. Urban Eco., 32(4), 531-540, 2002. DOI
  44. R. L. Devaney, N. Fagella, X. Jarque. Hyperbolic components of the complex exponential family. Fund. Math., 174(3), 193-215, 2002. PDF
  45. R. L. Devaney, X. Jarque. Indecomposable continua in exponential dynamics. Conform. Geom. Dyn., 6, 1-12, 2002. PDF
  46. X. Jarque, J. Villadelprat. On the period function of centers in planar polynomial Hamiltonian systems of degree four. Qual. Theory Dyn. Syst., 3(1), 157-180, 2002. DOI
  47. X. Jarque, J. Villadelprat. Nonexistence of isochronous centers in planar polynomial Hamiltonian systems of degree four. J. Differential Equations, 180(2), 334-373, 2002. DOI
  48. X. Jarque, J. Llibre. Polynomial foliations in R^2. Pacific J. Math., 197(1), 53-72, 2001. PDF
  49. X. Jarque, Z. Nitecki. Hamiltonian stability in the plane. Ergodic Theory Dynam. Systems, 20(3), 775-799, 2000. DOI
  50. M. A. Frutos, H. Hamoudi, X. Jarque. Equilibrium existence in the circle model with linear quadratic transport cost. Reg. Sci. Urban Eco., 29, 605-615, 1999. DOI
  51. R. L. Devaney, X. Jarque. Misiurewicz points for complex exponentials. Internat. J. Bifur. Chaos Appl. Sci. Engrg., 7(7), 1599-1615, 1997. DOI
  52. A. Guillamon, X. Jarque, J. Llibre, J. Ortega, J. Torregrosa. Periods for transversal maps via Lefschetz numbers for periodic points. Trans. Amer. Math. Soc., 347(12), 4779-4806, 1995. DOI
  53. X. Jarque, J. Llibre. Structural stability of planar Hamiltonian polynomial vector fields. Proc. Lond. Math. Soc. (3), 68(3), 617-640, 1994. DOI

Book(s)

  1. N. Fagella, X. Jarque. Iteración compleja y fractales. Vicens Vives y ICE-UAB, 2007 (in spanish).

Others (proceedings, thesis, etc)

  1. X. Jarque. Planar vector fields: Hamiltonian systems, polynomial foliations and structural stability. PhD thesis, Universitat Autònoma de Barcelona, 1995. ABSTRACT
  2. X. Jarque, J. Llibre. Global structural stability of planar Hamiltonian vector fields. In Hamiltonian dynamical systems (Cincinnati, OH, 1992), 171-180. Springer, New York, 1995.
  3. X. Jarque. Structural stability of vector fields in dimension two. Masters thesis, Universitat Autònoma de Barcelona, 1992.

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