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Information on the principal investigator and host institution

Information of the project and the call

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Topological properties of invariant sets in transcendental dynamics

2012/06/M/ST1/00168

Keywords:

dynamical systems iteration dynamics of transcendental functions

Descriptors:

  • ST1_10: Ordinary differential equations and dynamical systems

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Krzysztof Barański 

Number of co-investigators in the project: 4

Call: HARMONIA 3 - announced on 2012-06-15

Amount awarded: 236 860 PLN

Project start date (Y-m-d): 2013-03-27

Project end date (Y-m-d): 2016-09-26

Project duration:: 42 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (10)
  1. Hyperbolic entire functions with bounded Fatou components
    Authors:
    Walter Bergweiler, Nuria Fagella, Lasse Rempe-Gillen
    Academic press:
    Commentarii Mathematici Helvetici (rok: 2015, tom: 90, strony: 799-829), Wydawca: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/CMH/371 - link to the publication
  2. Connectivity of Julia sets of Newton maps: A unified approach
    Authors:
    Krzysztof Barański, Nuria Fagella, Xavier Jarque, Bogusława Karpińska
    Academic press:
    Revista Matematica Iberoamericana (rok: 2016, tom: -, strony: -), Wydawca: European Mathematical Society
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  3. Sierpiński curve Julia sets for quadratic rational maps
    Authors:
    Robert Devaney, Nuria Fagella, Antonio Garijo, Xavier Jarque
    Academic press:
    Annales Academiae Scientiarum Fennicae-Mathematica (rok: 2014, tom: 39, strony: 45373), Wydawca: Academia Scientiarum Fennica
    Status:
    Published
    DOI:
    10.5186/aasfm.2014.3903 - link to the publication
  4. Accesses to infinity from Fatou components
    Authors:
    Krzysztof Barański, Nuria Fagella, Xavier Jarque, Bogusława Karpińska
    Academic press:
    Transactions of the American Mathematical Society (rok: 2017, tom: 369, strony: 1835-1867), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/6739 - link to the publication
  5. Wandering domains for composition of entire functions
    Authors:
    Nuria Fagella,Sebastian Godillon, Xavier Jarque
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 429, strony: 478-496), Wydawca: Elsevier B.V.
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.04.020 - link to the publication
  6. An effective algorithm to compute Mandelbrot sets in parameter planes
    Authors:
    Antonio Garijo, Xavier Jarque, Jordi Villadelprat
    Academic press:
    Numerical Algorithms (rok: 2017, tom: 76, strony: 555-571), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11075-017-0270-8 - link to the publication
  7. Absorbing sets and Baker domains for holomorphic maps
    Authors:
    Krzysztof Barański, Nuria Fagella, Xavier Jarque, Bogusława Karpińska
    Academic press:
    Journal of the London Mathematical Society (rok: 2015, tom: 92, strony: 144-162), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/jlms/jdv016 - link to the publication
  8. Dynamic rays of bounded-type transcendental self-maps of the punctured plane
    Authors:
    Nuria Fagella, David Marti-Pete
    Academic press:
    Discrete and Continuous Dynamical Systems (rok: 2017, tom: 37, strony: 3123-3160), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2017134 - link to the publication
  9. Newton's method on Bring-Jerrard polynomials
    Authors:
    Beatriz Campos, Antonio Garijo, Xavier Jarque, Pura Vindel
    Academic press:
    Publicacions Matematiques (rok: 2014, tom: 58, strony: 81-109), Wydawca: Department of Mathematics of the Universitat Autonoma de Barcelona
    Status:
    Published
    DOI:
    10.5565/PUBLMAT_Extra14_05 - link to the publication
  10. Escaping points in the boundaries of Baker domains
    Authors:
    Krzysztof Barański, Nuria Fagella, Xavier Jarque, Bogusława Karpińska
    Academic press:
    Journal d'Analyse Mathematique (rok: 2015, tom: -, strony: -), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication

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