Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

The interplay between ergodic theory and topological dynamics

2016/22/E/ST1/00448

Keywords:

ergodic theory topological dynamics characteristic factors mean dimension

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 :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Jonatan Gutman 

Number of co-investigators in the project: 3

Call: SONATA BIS 6 - announced on 2016-06-15

Amount awarded: 688 360 PLN

Project start date (Y-m-d): 2017-04-10

Project end date (Y-m-d): 2022-04-09

Project duration:: 60 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. Komputer przenośny (6 000 PLN)
  2. Komputer stacjonarny (4 000 PLN)

Information in the final report

  • Publication in academic press/journals (19)
  • Articles in post-conference publications (1)
  1. A Lipschitz refinement of the Bebutov-Kakutani dynamical embedding theorem
    Authors:
    Yonatan Gutman, Lei Jin and Masaki Tsukamoto
    Academic press:
    Journal of Dynamics and Differential Equations (rok: 2019, tom: 31, strony: 81–91), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10884-018-9653-3 - link to the publication
  2. Application of signal analysis to the embedding problem of Zk-actions
    Authors:
    Yonatan Gutman, Yixiao Qiao and Masaki Tsukamoto
    Academic press:
    Geometric and Functional Analysis (rok: 2019, tom: 29, strony: 1440–1502), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00039-019-00499-z - link to the publication
  3. The structure theory of Nilspaces I
    Authors:
    Yonatan Gutman, Freddie Manners and Péter P. Varjú
    Academic press:
    Journal d'Analyse Mathematique (rok: 2020, tom: 140, strony: 299–369), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11854-020-0093-8 - link to the publication
  4. Universal minimal flows of homeomorphism groups of high-dimensional manifolds are not metrizable.
    Authors:
    Yonatan Gutman, Todor Tsankov and Andy Zucker
    Academic press:
    Mathematische Annalen (rok: 2021, tom: 379, strony: 1605–1622), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-021-02146-1 - link to the publication
  5. On the structure theory of cubespace fibrations
    Authors:
    Yonatan Gutman and Bingbing Liang
    Academic press:
    Journal of Dynamics and Differential Equations (rok: 2021, ), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s10884-021-09970-8 - link to the publication
  6. Strictly ergodic distal models and a new approach to the Host-Kra factors
    Authors:
    Yonatan Gutman and Zhengxing Lian
    Academic press:
    Journal of Functional Analysis , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  7. A counter-example for polynomial version of Sarnak's conjecture
    Authors:
    Zhengxing Lian and Ruxi Shi
    Academic press:
    Advances in Mathematics (rok: 2021, tom: 384, strony: 107765), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2021.107765 - link to the publication
  8. Almost Sure Convergence of the Multiple Ergodic Average for Certain Weakly Mixing Systems
    Authors:
    Yonatan Gutman, Wen Huang, Song Shao and XiangDong Ye
    Academic press:
    Acta Mathematica Sinica, English Series (rok: 2018, tom: 34, strony: 79–90), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s10114-017-6366-1 - link to the publication
  9. Higher order regionally proximal equivalence relations for general minimal group actions
    Authors:
    Eli Glasner, Yonatan Gutman and XiangDong Ye
    Academic press:
    Advances in Mathematics (rok: 2018, tom: 333, strony: 1004–1041), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2018.05.023 - link to the publication
  10. The embedding problem in topological dynamics and Takens' theorem
    Authors:
    Yonatan Gutman, Yixiao Qiao and Gábor Szabó
    Academic press:
    Nonlinearity (rok: 2018, tom: 31, strony: 597–620), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6544/aa9464 - link to the publication
  11. The structure theory of Nilspaces II: Representation as nilmanifolds
    Authors:
    Yonatan Gutman, Freddie Manners and Péter P. Varjú
    Academic press:
    Transactions of the American Mathematical Society (rok: 2019, tom: 371, strony: 4951–4992), Wydawca: AMS
    Status:
    Published
    DOI:
    10.1090/tran/7503 - link to the publication
  12. Mean dimension and an embedding theorem for real flows
    Authors:
    Yonatan Gutman and Lei Jin
    Academic press:
    Fundamenta Mathematicae (rok: 2020, tom: 251, strony: 161–181), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/fm597-2-2020 - link to the publication
  13. Metric mean dimension and analog compression
    Authors:
    Yonatan Gutman and Adam Śpiewak
    Academic press:
    IEEE Transactions on Information Theory (rok: 2020, tom: 66, no. 11, strony: 6977–6998), Wydawca: IEEE
    Status:
    Published
    DOI:
    10.1109/TIT.2020.2992388 - link to the publication
  14. The structure theory of Nilspaces III: Inverse limit representations and topological dynamics
    Authors:
    Yonatan Gutman, Freddie Manners and Péter Varjú
    Academic press:
    Advances in Mathematics (rok: 2020, tom: 365, strony: 107059), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2020.107059 - link to the publication
  15. Maximal pronilfactors and a topological Wiener-Wintner theorem.
    Authors:
    Yonatan Gutman and Zhengxing Lian
    Academic press:
    Israel Journal of Mathematics (rok: 2022, ), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  16. A probabilistic Takens theorem
    Authors:
    Krzysztof Barański, Yonatan Gutman and Adam Śpiewak
    Academic press:
    Nonlinearity (rok: 2020, tom: 33, strony: 4940–4966), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6544/ab8fb8 - link to the publication
  17. An explicit compact universal space for real flows
    Authors:
    Yonatan Gutman and Lei Jin
    Academic press:
    Journal of Differential Equations (rok: 2019, tom: 266, strony: 3438–3449), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2018.09.007 - link to the publication
  18. Around the variational principle for metric mean dimension
    Authors:
    Yonatan Gutman and Adam Śpiewak
    Academic press:
    Studia Mathematica (rok: 2021, tom: 261, strony: 345–360), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/sm201029-23-2 - link to the publication
  19. Embedding minimal dynamical systems into Hilbert cubes
    Authors:
    Yonatan Gutman and Masaki Tsukamoto
    Academic press:
    Inventiones Mathematicae (rok: 2020, tom: 221, strony: 113–166), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00222-019-00942-w - link to the publication
  1. New uniform bounds for almost lossless analog compression
    Authors:
    Yonatan Gutman and Adam Śpiewak
    Conference:
    2019 IEEE International Symposium on Information Theory (ISIT), Paris, France (rok: 2019, ), Wydawca: IEEE
    Data:
    konferencja 43653
    Status:
    Published

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy