Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Dynamics from the single orbit point of view: quasicrystals, invariant measures, complexity

2018/29/B/ST1/01340

Keywords:

quasi-crystals invariant measures non-hyperbolic measures complexity entropy specification property Lyapunov exponents

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 Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Dominik Kwietniak 

Number of co-investigators in the project: 5

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

Amount awarded: 357 876 PLN

Project start date (Y-m-d): 2019-02-11

Project end date (Y-m-d): 2022-12-10

Project duration:: 46 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.

Information in the final report

  • Publication in academic press/journals (9)
  1. On tameness of almost automorphic dynamical systems for general groups
    Authors:
    Gabriel Fuhrmann, Dominik Kwietniak
    Academic press:
    Bull. London Math. Soc. (rok: 2020, tom: 52, strony: 24-42), Wydawca: John Wiley & Sons Inc, London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms.12304 - link to the publication
  2. On the properties of the mean orbital pseudo-metric
    Authors:
    F. Cai, D. Kwietniak, J. Li, H. Pourmand Habibeh
    Academic press:
    Journal of Differential Equations (rok: 2022, tom: 318, strony: 45310), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2022.02.019 - link to the publication
  3. G. Fuhrmann, M. Groeger, T. Jaeger, D. Kwietniak
    Authors:
    Amorphic complexity of group actions with applications to quasicrystals
    Academic press:
    Transactions of the American Mathematical Society (), Wydawca: AMS
    Status:
    Accepted for publication
    DOI:
    10.1090/tran/8700 - link to the publication
  4. Amorphic complexity can take any nonnegative value
    Authors:
    Marcin Kulczycki
    Academic press:
    Proceedings of the American Mathematical Society , Wydawca: American Mathematical Society
    Status:
    Submitted
    DOI:
    nie - link to the publication
  5. Uniform continuity of entropy on the regular points endowed with f-bar
    Authors:
    T. Downarowicz, D. Kwietniak, M. Łącka
    Academic press:
    IEEE Transactions on Information Theory (rok: 2021, tom: 67, strony: 7010 - 7018), Wydawca: IEEEE
    Status:
    Published
    DOI:
    10.1109/TIT.2021.3111831 - link to the publication
  6. Amorphic complexity can take any nonnegative value in general metric spaces
    Authors:
    Marcin Kulczycki
    Academic press:
    Dynamical Systems An International Journal (rok: 2020, ), Wydawca: Taylor & Francis
    Status:
    Accepted for publication
    DOI:
    10.1080/14689367.2020.1806990 - link to the publication
  7. On topological models of zero entropy loosely Bernoulli systems
    Authors:
    Felipe García-Ramos, Dominik Kwietniak
    Academic press:
    Transactions of the American Mathematical Society , Wydawca: American Mathematical Society
    Status:
    Accepted for publication
    DOI:
    10.1090/tran/8616 - link to the publication
  8. On ${\bar d}$ -approachability, entropy density and $\mathscr {B}$ -free shifts
    Authors:
    J. Konieczny, M. Kupsa, D. Kwietniak
    Academic press:
    Ergodic Theory and Dynamical Systems (), Wydawca: CUP
    Status:
    Accepted for publication
    DOI:
    10.1017/etds.2021.167 - link to the publication
  9. Amorphic complexity of group actions with applications to quasicrystals
    Authors:
    G. Fuhrmann, M. Groeger, T. Jaeger, D. Kwietniak
    Academic press:
    Annales scientifiques de l'École normale supérieure , Wydawca: Société Mathématique de France
    Status:
    Submitted
    DOI:
    nie - link to the publication

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