Projects funded by the NCN
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
Principal investigator (from the host institution):
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 (3)
- Quasi-invariant measures for generalized approximately proper equivalence relationsAuthors:R.Bissacot, R.Exel, R.Frausino, T.RaszejaAcademic press:Journal of Mathematical Analysis and Applications (rok: 2024, tom: 538, strony: 128444), Wydawca: ElsevierStatus:PublishedDOI:10.1016/j.jmaa.2024.128444 - link to the publication
- Invariant measures for reducible generalized Bratteli diagramsAuthors:Sergey Bezuglyi, Olena Karpel, Jan KwiatkowskiAcademic 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 UkraineStatus:PublishedDOI:10.15407/mag20.01.003 - link to the publication
- Bratteli diagrams in Borel dynamicsAuthors:Sergey Bezuglyi, Palle Jorgensen, Olena Karpel, Shrey SanadhyaStatus:Accepted for publication