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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Probabilistic aspects of the Takens embedding theorem

2019/33/N/ST1/01882

Keywords:

dynamical systems iterations probabilistic embeddings geometric mesure theory Hausdorff dimension

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 :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Adam Marek Śpiewak 

Number of co-investigators in the project: 2

Call: PRELUDIUM 17 - announced on 2019-03-15

Amount awarded: 64 800 PLN

Project start date (Y-m-d): 2020-01-29

Project end date (Y-m-d): 2023-01-28

Project duration:: 36 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 (4)
  1. On the Shroer–Sauer–Ott–Yorke Predictability Conjecture for Time-Delay Embeddings
    Authors:
    Krzysztof Barański, Yonatan Gutman, Adam Śpiewak
    Academic press:
    Communications in Mathematical Physics (rok: 2022, )
    Status:
    Published
    DOI:
    10.1007/s00220-022-04323-y - link to the publication
  2. Regularity of almost-surely injective projections in Euclidean spaces
    Authors:
    Krzysztof Barański, Yonatan Gutman, Adam Śpiewak
    Academic press:
    Annali della Scuola normale superiore di Pisa - Classe di scienze (rok: 2023, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Scuola Normale Superiore
    Status:
    Submitted
  3. Prediction of dynamical systems from time-delayed measurements with self-intersections
    Authors:
    Krzysztof Barański, Yonatan Gutman, Adam Śpiewak
    Academic press:
    Journal de Mathématiques Pures et Appliquées (rok: 2023, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Elsevier
    Status:
    Submitted
  4. On the Shroer–Sauer–Ott–Yorke Predictability Conjecture for Time-Delay Embeddings
    Authors:
    Krzysztof Barański, Yonatan Gutman, Adam Śpiewak
    Academic press:
    Communications in Mathematical Physics (rok: 2022, )
    Status:
    Published
    DOI:
    10.1007/s00220-022-04323-y - link to the publication

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