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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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. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  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

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