Xavier Jarque Ribera

Xavier Jarque Ribera

Full professor

ORCID: 0000-0002-6576-9780
Scopus Author ID: 6602537600
Researcher ID: D-5871-2015
Knowledge area: Matemàtica Aplicada

Director of the Foundation Ferran Sunyer i Balaguer
President of the Catalan Mathematical Society
Director of the Institute of Mathematics at Universitat de Barcelona

Grup de Sistemes Dinàmics UB

Contact Information
Department of Mathematics and Computer Science
Gran Via, 585
934024499
xavier.jarque(a)ub.edu

More Information: www.ub.edu/dynsys/xavier-jarque-i-ribera/ (https://www.ub.edu/dynsys/xavier-jarque-i-ribera/)

Academic training

Matemàtiques . Universitat Autònoma de Barcelona . 15/06/1990 . (Diploma / Degree / Activities)
Matemàtiques . Universitat Autònoma de Barcelona . 17/10/1995 . (Ph.D.)

Imparted Teaching (last 10 years)

Càlcul II (Bachelor's degree) - Ingeniería Química - Universidad de Barcelona.
Sistemes Dinàmics (University Master's Degree) - Matemàtica Avançada - Universidad de Barcelona.
Equacions Diferencials (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Matemàtica Aplicada i Bioestadística (Bachelor's degree) - Farmacia - Universidad de Barcelona.
Metodologia Avançada en Matemàtiques (University Master's Degree) - Matemàtica Avançada - Universidad de Barcelona.
Optimització (University Master's Degree) - Fonaments de la Ciència de Dades - Universidad de Barcelona.
Introducció a la Computació Científica (Bachelor's degree) - Ingeniería Informática - Universidad de Barcelona.
Models Matemàtics i Sistemes Dinàmics (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Anàlisi Complexa (Bachelor's degree) - Matemáticas - Universidad de Barcelona.

Research interests

Teoria qualitativa d'equacions diferencials
Dinàmica complexa
Teoria de jocs

Participation in Projects

Estabilidad y caos en iteración holomorfa . 2021 - 2024 . Ref.PID2020-118281GB-C32 . Ministerio de Ciencia, Innovación y Universidades . PI: Nuria Fagella Rabionet
Sistemas dinámicos holomorfos . 2018 - 2020 . Ref.MTM2017-86795-C3-3-P . Ministerio de Economía y Competitividad . PI: Nuria Fagella Rabionet
Grup de Sistemes Dinàmics UB . 2017 - 2021 . Ref.2017SGR1374 . Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR) . PI: Angel Jorba Monte
Sistemas Dinámicos Holomorfos . 2015 - 2017 . Ref.MTM2014-52209-C2-2-P . Ministerio de Economía y Competitividad . PI: Nuria Fagella Rabionet
Mención de Excelencia Maria de Maetzu al Barcelona Graduate School of Mathematics (BGSMath) . 2015 - 2019 . Ref.MDM-2014-0445 . Ministerio de Economía y Competitividad . PI: Marcos Noy Serrano
Grup de sistemes dinàmics reals i complexes amb aplicacions . 2014 - 2017 . Ref.2014SGR555 . Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR) . PI: Xavier Jarque Ribera
Topological properties of invariant sets in transcendental dynamics . 2013 - 2016 . Ref.2012/06/M/ST1/00168 . Narodowe Centrum Nauki w Krakowie (National Science Centre Kraków) . PI: Krzysztof Baranski

Relevant publications (Journal Publications and Other publications - last 10 years)

Garijo, A. ; Jarque, X. (2022). Dynamics of the Secant map near infinity. Journal of Difference Equations and Applications, 28(10), pp. 1334 - 1347 . Institutional Repository . ISSN: 1023-6198
Jordi Canela ; Xavier Jarque ; Dan Paraschiv (2022). Achievable connectivities of Fatou components for a family of singular perturbations. Discrete and Continuous Dynamical Systems-Series A, 42(9), pp. 4237 - 4261 . Institutional Repository . ISSN: 1078-0947
Gardini, L.; Garijo, A.; Jarque, X. (2021). Topological properties of the immediate basins of attraction for the secant method. Mediterranean Journal of Mathematics, 18(221) . Institutional Repository . ISSN: 1660-5446
Barasnki, K. ; Fagella, N. ; Jarque, X. ; Karpinska, B. (2020). Fatou components and singularities of meromorphic functions. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 150(2), pp. 633 - 654 . Institutional Repository . ISSN: 0308-2105
Garijo, A. ; Jarque X. (2020). The secant applied to a real polynomial with multiple roots. Discrete and Continuous Dynamical Systems-Series A, 40(12), pp. 6783 - 6794 . Institutional Repository . ISSN: 1078-0947
K. Baranski; N. Fagella; X. Jarque; B. Karpinska. (2019). Escaping points in the boundaries of baker domains. Journal d'Analyse Mathematique, 137(2), pp. 679 - 706 . Institutional Repository . ISSN: 0021-7670
N. Fagella; X. Jarque; K. Lazebnik (2019). Univalent Wandering Domains in the Eremenko-Lyubich Class. Journal d'Analyse Mathematique, 139(1), pp. 369 - 395 . Institutional Repository . ISSN: 0021-7670
Garijo, A.; Jarque, X. (2019). Global dynamics of the real secant method. Nonlinearity, 32(11), pp. 4557 - 4578 . Institutional Repository . ISSN: 0951-7715
V. Evdoridou; N. Fagella; X. Jarque; D. J. Sixsmith (2019). Singularities of inner functions associated with hyperbolic maps. Journal of Mathematical Analysis and Applications, 477(1), pp. 536 - 550 . Institutional Repository . ISSN: 0022-247X
Baranski, Krzysztof; Fagella, Núria; Jarque, Xavier; Karpinska, Boguslawa (2018). Connectivity of Julia sets of Newton maps: a unified approach. Revista Matematica Iberoamericana, 34(3), pp. 1211 - 1228 . Institutional Repository . ISSN: 0213-2230
Baranski, K.; Fagella, N.; Jarque, X.; Karpinska, B. (2017). Accesses to infinity from Fatou components. Transactions of the American Mathematical Society, 369(3), pp. 1835 - 1867 . Institutional Repository . ISSN: 0002-9947
Garijo. A.; Jarque X.; Villadelprat, J. (2017). An effective algorithm to compute Mandelbrot sets in parameter planes. Numerical Algorithms, 76(2), pp. 555 - 571 . Institutional Repository . ISSN: 1017-1398
Beatriz, Campos; Antonio, Garijo; Xavier, Jarque; Vindel, Pura (2016). Newton's method for symmetric quartic polynomials. Applied Mathematics and Computation, 290, pp. 326 - 335 . Institutional Repository . ISSN: 0096-3003
Baranski, K.; Fagella, N.; Jarque, X.; Karpinska, B. (2015). Absorbing sets and Baker domains for holomorphic maps. Journal of the London Mathematical Society-Second Series, 92(1), pp. 144 - 162 . Institutional Repository . ISSN: 0024-6107
Fagella, N.; Godillon, S.; Jarque, X. (2015). Wandering domains for composition of entire functions. Journal of Mathematical Analysis and Applications, 429(1), pp. 478 - 496 . Institutional Repository . ISSN: 0022-247X
Canela J.; Evdoridou V.; Garijo A.; , Jarque, X. (2023). On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub. Mathematische Zeitschrift, 303(55), pp. 1 - 22 . https://doi.org/10.1007/s00209-023-03215-8 . ISSN: 0025-5874

Direction of Thesis, Minor Thesis and Research Reports (last 10 years)

Javier Olea Martínez . (2015) . Root finding methods: a dynamical approach (Master's Thesis) . Universitat de Barcelona.
Ana Malasevic . (2016) . Wandering domains for entire maps of bounded type (Master's Thesis) . Universitat de Barcelona.
Carla Alcantara Roman . (2018) . Diferenciació del producte via competència espacial: El model de Hotelling (Degree work) . Universitat de Barcelona.
Bernat Espigulé . (2018) . Complex Trees: And their families of connected self-similar sets (Master's Thesis) . Universitat de Barcelona.
Dan Alexandru Paraschiv . (2017) . A rational family of singular perturbations. TheTrichotomy Theorem (Master's Thesis) . Universitat de Barcelona.

Conferences and Participations in Congresses (last 10 years)

Jarque, X. (2021). On the boundary of the basins of attraction for the secant method. (Invited conference) . European Congress of Mathematics (8ECM) . Portoroz . SLOVENIA
Jarque, X. (2021). -. (Participation in scientific/organizer committee) . Topics in complex dynamics: Transcendental dynamics and beyond . Barcelona . SPAIN
Jarque, X. (2021). On the basins of attraction of a one dimensional familiy of root finding algorithms. From Newton to Traub. (Presentation of communication) . On geometric complexity on Julia sets III . Bedlewo . POLAND
Jarque, X. (2019). Univalent wandering domains. (Invited conference) . DEA2019 . Krakovia . POLAND
Jarque, X. (2019). . (Participation in scientific/organizer committee) . Topics in complex dynamics 2019 (From combinatorics to transcendental dynamics) . Barcelona . SPAIN
Xavier Jarque (2018). Wandering domains and (post)-singular values. (Invited conference) . New Developments in Complex Analysis and Function Theory . Heraklion . GREECE
Xavier Jarque (2018). Wandering domains and (post)-singular values. (Speech) . ICM2018 (International Conference of Mathematics) . Rio de Janeiro . BRAZIL
Jarque, X. (2017). Membre comitè organitzador. (Participation in scientific/organizer committee) . Barcelona Mathematical Days (BMD2017) . Barcelona . SPAIN
Jarque, X. (2017). . (Participation in scientific/organizer committee) . Joint meeting of the Catalan, Spanish and Sdewish Mathematical Societies . Umea . SWEDEN
Jarque, X. (2017). . (Participation in scientific/organizer committee) . II Joint meeting of the Catalan Mathematical Society and the Edinburgh Mathematical Society . Edinburgh . ENGLAND
Jarque, X. (2017). . (Secretary of scientific/organizer committee) . Winter school 'Topics in Complex Dynamics 2017' (TCD2017) . Barcelona . SPAIN
Jarque, X. (2016). Membre comitè organitzador. (Participation in scientific/organizer committee) . Joint meeting of the Czec, Slovakian, Austrian, Slovenian and Catalan Mathematical societies (CSASC2016) . Barcelona . SPAIN
K. Baranski, N. Fagella, X. Jarque, B. Karpinska. (2016). Connectivity of the Julia set of Newton maps: A uni ed approach. (Presentation of communication) . EMS European Congress of Mathemmatics . Berlin . GERMANY
Fagella, N; Godillon, S.; Jarque, X (2015). Wandering domains for composition of entire functions. (Invited conference) . Ergodic Theory and Dynamical Systems . Viena . AUSTRIA
Wandering domains and post-singular values . (Dynamical Systems seminar at Warsaw University). 14/01/2019. Warsaw. POLAND
On the connectivity of the Julia set and Newton's map . (Mathematics Departament Seminar). 28/02/2018. CalTech, Pasadena (LA). UNITED STATES
Wandering domains and (post)-singular values . (Mathematics Departament Seminar). 06/03/2018. Stony Brook, New York. UNITED STATES
Pot una component de Fatou ser no periòdica? (en català) . (Seminari de Matemàtiques, Universitat de Girona). 17/03/2016. Girona, Catalunya. SPAIN
The secant method as a dynamical system on R2 . (Dynamical systems seminar at Open University (UK) (online)). 21/05/2020. UNITED KINGDOM