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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Optimal Representation of Dynamical Systems

2020/39/B/ST1/02329

Keywords:

dynamical systems stochastic processes optimal system reconstruction analog compression embedding of topological dynamical systems symbolic extensions.

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.

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: OPUS 20 - announced on 2020-09-15

Amount awarded: 648 000 PLN

Project start date (Y-m-d): 2021-05-31

Project end date (Y-m-d): 2025-05-30

Project duration:: 48 months (the same as in the proposal)

Project status: Pending project

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 (7)
  1. Strictly ergodic distal models and a new approach to the Host-Kra factors. (2023), no. 4, .
    Authors:
    Yonatan Gutman and Zhengxing Lian
    Academic press:
    Journal of Functional Analysis (rok: 2023, tom: 284 (4), strony: 109779), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109779 - link to the publication
  2. Maximal pronilfactors and a topological Wiener-Wintner theorem.
    Authors:
    Yonatan Gutman and Zhengxing Lian
    Academic press:
    Israel Journal of Mathematics (rok: 2022, tom: 251, strony: 495–526), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-022-2432-1 - link to the publication
  3. Maximal pronilfactors and a topological Wiener-Wintner theorem.
    Authors:
    Yonatan Gutman and Zhengxing Lian
    Academic press:
    Israel Journal of Mathematics (rok: 2022, tom: 251, strony: 495–526), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-022-2432-1 - link to the publication
  4. On the Shroer-Sauer-Ott-Yorke Predictability Conjecture for Time-Delay Embeddings
    Authors:
    Krzysztof Barański, Yonatan Gutman and Adam Śpiewak
    Academic press:
    Communications in Mathematical Physics (rok: 2022, tom: 391 (2), strony: 609–641), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-022-04323-y - link to the publication
  5. On the Shroer-Sauer-Ott-Yorke Predictability Conjecture for Time-Delay Embeddings
    Authors:
    Krzysztof Barański, Yonatan Gutman and Adam Śpiewak
    Academic press:
    Communications in Mathematical Physics (rok: 2022, tom: 391 (2), strony: 609–641), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-022-04323-y - link to the publication
  6. Strongly isomorphic symbolic extensions for expansive topological flows
    Authors:
    Yonatan Gutman and Ruxi Shi
    Academic press:
    International Mathematics Research Notices (rok: 2024, tom: 2024(3), strony: 2382–2419), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnad160 - link to the publication
  7. Strictly ergodic distal models and a new approach to the Host-Kra factors. (2023), no. 4, .
    Authors:
    Yonatan Gutman and Zhengxing Lian
    Academic press:
    Journal of Functional Analysis (rok: 2023, tom: 284 (4), strony: 109779), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109779 - link to the publication