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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Cantor dynamical systems and their classification

2019/35/D/ST1/01375

Keywords:

Cantor dynamical system orbit equivalence ergodic invariant measure complexity function aperiodic homeomorphism Bratteli diagram.

Descriptors:

  • ST1_010:

Panel:

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

Host institution :

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie, Wydział Matematyki Stosowanej

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Olena Karpel 

Number of co-investigators in the project: 2

Call: SONATA 15 - announced on 2019-09-16

Amount awarded: 466 200 PLN

Project start date (Y-m-d): 2020-07-20

Project end date (Y-m-d): 2024-07-19

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.

Information in the final report

  • Publication in academic press/journals (12)
  1. Invariant measures for reducible generalized Bratteli diagrams
    Authors:
    Sergey Bezuglyi, Olena Karpel, Jan Kwiatkowski
    Academic press:
    Journal of Mathematical Physics, Analysis, Geometry (rok: 2024, tom: 20 (1), strony: 45740), Wydawca: B.Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine
    Status:
    Published
    DOI:
    10.15407/mag20.01.003 - link to the publication
  2. Inverse limit method for generalized Bratteli diagrams and invariant measures
    Authors:
    Sergey Bezuglyi, Olena Karpel, Jan Kwiatkowski, Marcin Wata
    Academic press:
    Dissertationes Mathematicae (rok: 2024, tom: nd., strony: nd.), Wydawca: Instytut Matematyczny PAN
    Status:
    Submitted
  3. Bratteli diagrams in Borel dynamics
    Authors:
    Sergey Bezuglyi, Palle Jorgensen, Olena Karpel, Shrey Sanadhya
    Academic press:
    Groups, Geometry, and Dynamics (rok: 2024, tom: nd., strony: nd.), Wydawca: EMS Press
    Status:
    Accepted for publication
  4. Thermodynamic Formalism for Generalized Markov Shifts on Infinitely Many States
    Authors:
    Rodrigo Bissacot, Ruy Exel, Rodrigo Frausino, Thiago Raszeja
    Academic press:
    Inventiones mathematicae (rok: 2023, tom: nd., strony: nd.), Wydawca: Springer-Verlag GmbH Germany
    Status:
    Submitted
  5. Quasi-invariant measures for generalized approximately proper equivalence relations
    Authors:
    R.Bissacot, R.Exel, R.Frausino, T.Raszeja
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2024, tom: 538, strony: 128444), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2024.128444 - link to the publication
  6. Invariant measures for reducible generalized Bratteli diagrams
    Authors:
    Sergey Bezuglyi, Olena Karpel, Jan Kwiatkowski
    Academic press:
    Journal of Mathematical Physics, Analysis, Geometry (rok: 2024, tom: 20 (1), strony: 45740), Wydawca: B.Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine
    Status:
    Published
    DOI:
    10.15407/mag20.01.003 - link to the publication
  7. Dynamics on the path space of generalized Bratteli diagrams
    Authors:
    Sergey Bezuglyi, Palle E.T. Jorgensen, Olena Karpel, Shrey Sanadhya
    Academic press:
    Journal d'Analyse Mathématique (rok: 2023, tom: nd., strony: nd.), Wydawca: Springer Nature
    Status:
    Submitted
  8. Measures and dynamics on Pascal-Bratteli diagrams
    Authors:
    Sergey Bezuglyi, Artem Dudko, Olena Karpel
    Academic press:
    Journal of Mathematical Physics, Analysis, Geometry (rok: 2024, tom: nd., strony: nd.), Wydawca: B.Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine
    Status:
    Submitted
  9. Horizontally stationary generalized Bratteli diagrams
    Authors:
    Sergey Bezuglyi, Palle Jorgensen, Olena Karpel, Jan Kwiatkowski
    Academic press:
    Fundamenta Mathematicae (rok: 2024, tom: nd., strony: nd.), Wydawca: Instytut Matematyczny PAN
    Status:
    Submitted
  10. Thermodynamic Formalism for Generalized Markov Shifts on Infinitely Many States
    Authors:
    Rodrigo Bissacot, Ruy Exel, Rodrigo Frausino, Thiago Raszeja
    Academic press:
    Journal für die reine und angewandte Mathematik (rok: 2024, tom: nd., strony: nd.), Wydawca: Walter de Gruyter
    Status:
    Submitted
  11. Dynamics on the path space of generalized Bratteli diagrams
    Authors:
    Sergey Bezuglyi, Palle E.T. Jorgensen, Olena Karpel, Shrey Sanadhya
    Academic press:
    Journal d'Analyse Mathématique (rok: 2023, tom: nd., strony: nd.), Wydawca: Springer Nature
    Status:
    Submitted
  12. Thermodynamic Formalism for Generalized Markov Shifts on Infinitely Many States
    Authors:
    Rodrigo Bissacot, Ruy Exel, Rodrigo Frausino, Thiago Raszeja
    Academic press:
    Inventiones mathematicae (rok: 2023, tom: nd., strony: nd.), Wydawca: Springer-Verlag GmbH Germany
    Status:
    Submitted

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