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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Dynamical complexity and pseudometrics

2020/37/K/ST1/02770

Keywords:

amorphic complexity nonamenable group actions substitutions entropy zero entropy topological models Besicovitch pseudometric mean equicontinuity loosely Bernoulli

Descriptors:

  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_6: Topology

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.

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Maik Gröger 

Number of co-investigators in the project: 2

Call: POLS - announced on 2020-03-16

Amount awarded: 842 013 PLN

Project start date (Y-m-d): 2021-04-08

Project end date (Y-m-d): 2023-12-07

Project duration:: 32 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 (6)
  1. On the continuity of Følner averages
    Authors:
    G. Fuhrmann, M. Gröger and T. Hauser
    Academic press:
    Advances in Mathematics (rok: 2023, ), Wydawca: Elsevier
    Status:
    Submitted
  2. Amorphic complexity of group actions with applications to quasicrystals
    Authors:
    G. Fuhrmann, M. Gröger, T. Jäger and D. Kwietniak
    Academic press:
    Transactions of the American Mathematical Society (rok: 2023, tom: 376, strony: 2395-2418), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/8700 - link to the publication
  3. On the properties of the mean orbital pseudo-metric
    Authors:
    F. Cai, D. Kwietniak, J. Li and H. Pourmand
    Academic press:
    Journal of Differential Equations (rok: 2022, tom: 318, strony: 45676), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2022.02.019 - link to the publication
  4. On the properties of the mean orbital pseudo-metric
    Authors:
    F. Cai, D. Kwietniak, J. Li and H. Pourmand
    Academic press:
    Journal of Differential Equations (rok: 2022, tom: 318, strony: 45676), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2022.02.019 - link to the publication
  5. Amorphic complexity of group actions with applications to quasicrystals
    Authors:
    G. Fuhrmann, M. Gröger, T. Jäger and D. Kwietniak
    Academic press:
    Transactions of the American Mathematical Society (rok: 2023, tom: 376, strony: 2395-2418), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/8700 - link to the publication
  6. Amorphic complexity of group actions with applications to quasicrystals
    Authors:
    G. Fuhrmann, M. Gröger, T. Jäger and D. Kwietniak
    Academic press:
    Transactions of the American Mathematical Society , Wydawca: American Mathematical Society
    Status:
    Accepted for publication
    DOI:
    link to the publication

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