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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Analytic approach in conformal dynamics

2018/29/B/ST1/00013

Keywords:

polynomial iteration connectivity locus invariant measure renormalization

Descriptors:

  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_16: Numerical analysis

Panel:

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

Host institution :

Politechnika Warszawska, Wydział Matematyki i Nauk Informacyjnych

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Grzegorz Świątek 

Number of co-investigators in the project: 2

Call: OPUS 15 - announced on 2018-03-15

Amount awarded: 181 000 PLN

Project start date (Y-m-d): 2019-02-13

Project end date (Y-m-d): 2023-02-12

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. licencja bezterminowa na program Mathematica na 8 kerneli (6 000 PLN)

Information in the final report

  • Publication in academic press/journals (3)
  1. Stability of the Fibonacci Fixed Point with Infinite Criticality
    Authors:
    Grzegorz Siudem; Grzegorz Świątek
    Academic press:
    Discrete and Continuous Dynamical Systems A Series , Wydawca: American Institute of Mathematical Sciences (AIMS)
    Status:
    Submitted
  2. Coefficients of the Riemann map for the Mandelbrot set complement
    Authors:
    Grzegorz Siudem, Grzegorz Świątek
    Academic press:
    Discrete and Continuous Dynamical Systems , Wydawca: American Institute of Mathematical Sciences
    Status:
    Accepted for publication
    DOI:
    10.3934/dcds.2023091 - link to the publication
  3. Accessibility and porosity of harmonic measure at bifurcation locus
    Authors:
    Jacek Graczyk, Grzegorz Świątek
    Academic press:
    Journal of London Mathematical Society (rok: 2022, tom: 106, strony: 2730-2751), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1112/jlms.12646 - link to the publication