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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Deterministic and random phenomena in dynamical systems

2018/31/B/ST1/02495

Keywords:

dynamical systems iterations transcendental functions Julia set invariant measure dynamics of random systems

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: 6

Call: OPUS 16 - announced on 2018-09-14

Amount awarded: 474 000 PLN

Project start date (Y-m-d): 2019-07-09

Project end date (Y-m-d): 2023-07-08

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Komputer przenośny (6 000 PLN)
  2. Tablet, 1szt..
  3. Urządzenie wielofunkcyjne.

Information in the final report

  • Publication in academic press/journals (6)
  1. On Hausdorff dimension of polynomial not totally disconnected Julia sets
    Authors:
    Feliks Przytycki, Anna Zdunik
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2021, tom: 53, strony: 1674-1691), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms.12519 - link to the publication
  2. Local connectivity of boundaries of tame Fatou components of meromorphic functions
    Authors:
    Krzysztof Barański, Núria Fagella, Xavier Jarque, Bogusława Karpińska
    Academic press:
    Mathematische Annalen , Wydawca: Springer Nature
    Status:
    Submitted
    DOI:
    brak - link to the publication
  3. Total disconnectedness of Julia sets of random quadratic polynomials
    Authors:
    Krzysztof Lech, Anna Zdunik
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2022, tom: 42, strony: 1764-1780), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2020.148 - link to the publication
  4. On the dimension of stationary measures for random piecewise affine interval homeomorphisms
    Authors:
    Krzysztof Barański, Adam Śpiewak
    Academic press:
    Ergodic Theory and Dynamical Systems , Wydawca: Cambridge University Press
    Status:
    Accepted for publication
    DOI:
    10.1017/etds.2023.57 - link to the publication
  5. Thermodynamic formalism for coarse expanding dynamical systems
    Authors:
    Tushar Das, Feliks Przytycki, Giulio Tiozzo, Mariusz Urbanski, Anna Zdunik
    Academic press:
    Communications in Mathematical Physics (rok: 2021, tom: 384, strony: 165-199), Wydawca: Springer Nature Switzerland AG
    Status:
    Published
    DOI:
    10.1007/s00220-021-04058-2 - link to the publication
  6. On the dimension of points which escape to infinity at given rate under exponential iteration
    Authors:
    Krzysztof Barański, Bogusława Karpińska
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2022, tom: 42, strony: 1591-1623), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2021.26 - link to the publication

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