Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Holomorphic dynamics, fractals, thermodynamic formalism

2021/41/B/ST1/00461

Keywords:

Iteration of holomorphic maps and complex rational maps geometric pressure asymptotic variance geometric coding trees radial accessibility fractals Hausdorff dimension Lyapunov exponents expanding hyperbolicity branched covering Julia set

Descriptors:

  • ST1_010:
  • ST1_008:

Panel:

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

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Feliks Marian Przytycki 

Number of co-investigators in the project: 3

Call: OPUS 21 - announced on 2021-03-15

Amount awarded: 608 509 PLN

Project start date (Y-m-d): 2022-01-12

Project end date (Y-m-d): 2025-12-11

Project duration:: 47 months (the same as in the proposal)

Project status: Pending project

Project description

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

Information in the final report

  • Publication in academic press/journals (4)
  1. No hyperbolic sets in J_infty for infinitely renormalizable quadratic polynomials
    Authors:
    Genadi Levin, Feliks Przytycki
    Academic press:
    Israel Journal of Mathematics (rok: 2022, tom: 251, strony: 635-656), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-022-2443-y - link to the publication
  2. Lower bounds on the Hausdorff dimension of some Julia sets
    Authors:
    Artem Dudko, Igors Gorbovickis, Warwick Tucker
    Academic press:
    Nonlinearity (rok: 2023, tom: 36,2, strony: 2867 - 2893), Wydawca: IOPscience LMS
    Status:
    Published
    DOI:
    10.1088/1361-6544/acc71b - link to the publication
  3. Estimating the Hausdorff measure using recurrence
    Authors:
    Łukasz Pawelec
    Academic press:
    Proceedings of the Edinburgh Mathematical Society (rok: 2024, tom: 67, strony: 188-199), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0013091523000755 - link to the publication
  4. Estimating Hausdorff measure for Denjoy maps
    Authors:
    Łukasz Pawelec, Mariusz Urbański
    Academic press:
    Nonlinearity (rok: 2023, tom: 36, strony: 6224 -- 6238), Wydawca: IOP Publishing | London Mathematical Society
    Status:
    Published
    DOI:
    10.1088/1361-6544/ad0194 - link to the publication

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