Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Stochastic methods in the theory of smooth dynamical systems

2014/13/B/ST1/04551

Keywords:

dynamical systems iterations invariant measures iterated function systems fractals atractors hiperbolicity

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):

prof. Anna Zdunik 

Number of co-investigators in the project: 6

Call: OPUS 7 - announced on 2014-03-17

Amount awarded: 344 560 PLN

Project start date (Y-m-d): 2015-02-06

Project end date (Y-m-d): 2018-08-05

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

Project status: Project settled

Equipment purchased [PL]

  1. zestaw komputerowy (6 000 PLN)
  2. komputer przenośny (6 000 PLN)

Information in the final report

  • Publication in academic press/journals (9)
  • Book publications / chapters in book publications (1)
  1. Stability of iterated function systems on the circle
    Authors:
    Tomasz Szarek, Anna Zdunik
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2016, tom: 48, strony: 365-378), Wydawca: Oxford Journals
    Status:
    Published
    DOI:
    10.1112/blms/bdw013 - link to the publication
  2. FATOU COMPONENTS AND SINGULARITIES OF MEROMORPHIC FUNCTIONS
    Authors:
    KRZYSZTOF BARAŃSKI,NURIA FAGELLA, XAVIER JARQUE BOGUSŁAWA KARPIŃSKA
    Academic press:
    Proceedings of the Royal Society of Edinburgh. Section A Mathematics , Wydawca: Cambridge University Press
    Status:
    Accepted for publication
    DOI:
    10.1017/prm.2018.142 - link to the publication
  3. REAL ANALYTICITY FOR RANDOM DYNAMICS OF TRANSCENDENTAL FUNCTIONS
    Authors:
    Volker Mayer, Mariusz Urbański, Anna Zdunik
    Academic press:
    Ergodic Theory and Dynamical Systems , Wydawca: Cambridge University Press
    Status:
    Accepted for publication
    DOI:
    10.1017/etds.2018.42 - link to the publication
  4. Random non-hyperbolic exponential maps
    Authors:
    Mariusz Urbański, Anna Zdunik
    Academic press:
    Journal d'Analyse Mathematique , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  5. Regularity of Hausdorff measure function for conformal dynamical systems
    Authors:
    Mariusz Urbański, Anna Zdunik
    Academic press:
    Mathematical Proceedings of the Cambridge Philosophical Society (rok: 2016, tom: 160(3), strony: 537-563), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0305004116000049 - link to the publication
  6. CONFORMAL MEASURES FOR MEROMORPHIC MAPS
    Authors:
    Krzysztof Barański, Bogusława Karpińska, Anna Zdunik
    Academic press:
    Annales Academiæ Scientiarum Fennicæ (rok: 2018, tom: 43, strony: 247-266), Wydawca: Academia Scientiarum Fennica
    Status:
    Published
    DOI:
    10.5186/aasfm.2018.4329 - link to the publication
  7. The rate of convergence for function systems on the circle
    Authors:
    Tomasz Szarek, Anna Zdunik
    Academic press:
    Colloquium Mathematicum , Wydawca: IMPAN
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  8. THE CENTRAL LIMIT THEOREM FOR ITERATED FUNCTION SYSTEMS ON THE CIRCLE
    Authors:
    Tomasz Szarek, Anna Zdunik
    Academic press:
    Moscow Mathematical Journal , Wydawca: Independent University of Moscow
    Status:
    Submitted
    DOI:
    brak - link to the publication
  9. Thin annuli property and exponential distribution of return times for weakly Markov systems
    Authors:
    Łukasz Pawelec, Mariusz Urbański, Anna Zdunik
    Academic press:
    Fundamenta Mathematicae , Wydawca: IMPAN
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. Dimension of the Graphs of the Weierstrass-Type Functions
    Authors:
    Krzysztof Barański
    Book:
    Fractal Geometry and Stochastics V, Progress in Probability (rok: 2015, tom: 70, strony: 77-91), Wydawca: Springer International Publishing Switzerland
    Status:
    Published

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