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ERGODIC THEORY: JOININGS, EFFECTIVE DISJOINTNESS AND APPLICATIONS

2019/33/B/ST1/00364

Keywords:

ergodicity Sarnak's conjecture Furstenberg's disjointness flows on surfaces parabolic systems arithmetic multiplicative functions Moebius function B-free systems

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 Mikołaja Kopernika, Wydział Matematyki i Informatyki

woj. kujawsko-pomorskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Mariusz Tomasz Lemańczyk 

Number of co-investigators in the project: 6

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

Amount awarded: 431 000 PLN

Project start date (Y-m-d): 2020-01-31

Project end date (Y-m-d): 2024-01-30

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 (14)
  1. Entropy rate of product of independent processes
    Authors:
    J. Kułaga-Przymus, M.D. Lemańczyk
    Academic press:
    Monatshefte Fur Mathematik (), Wydawca: Springer-Verlag GmbH Austria
    Status:
    Published
    DOI:
    10.1007/s00605-022-01801-2 - link to the publication
  2. Prime number theorem for regular Toeplitz subshifts
    Authors:
    K. Frączek, A. Kanigowski, M. Lemańczyk
    Academic press:
    Ergodic Theory and Dynamical Systems (), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2021.3 - link to the publication
  3. On the Garden of Eden theorem for ℬ-free subshifts
    Authors:
    G. Keller, M. Lemańczyk, Ch. Richard, D. Sell
    Academic press:
    Israel Journal of Mathematics (), Wydawca: Hebrew University of Jerusalem
    Status:
    Published
    DOI:
    10.1007/s11856-022-2437-9 - link to the publication
  4. Number-theoretic positive entropy shifts with small centralizer and large normalizer
    Authors:
    M. Baake, A. Bustos, C. Huck, M.Lemańczyk, A. Nickel
    Academic press:
    Ergodic Theory and Dynamical Systems (), Wydawca: Cambridge Univ. Press
    Status:
    Published
    DOI:
    10.1017/etds.2020.111 - link to the publication
  5. On arithmetic functions orthogonal to deterministic sequences
    Authors:
    A. Kanigowski, J. Kułaga-Przymus, M. Lemańczyk, Th. de la Rue
    Academic press:
    Advances in Mathematics , Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.aim.2023.109138 - link to the publication
  6. Hereditary subshifts whose measure of maximal entropy does not have the Gibbs property
    Authors:
    J. Kułaga-Przymus, M.D. Lemańczyk
    Academic press:
    Colloquium Mathematicum (), Wydawca: Inst. Math., Polish Acad. Sci.
    Status:
    Published
    DOI:
    10.4064/cm8223-11-2020 - link to the publication
  7. Invariant measures for B-free systems revisited
    Authors:
    A. Dymek, J. Kułaga-Przymus, D. Sell
    Academic press:
    Ergodic Theory and Dynamical Systems (tom: online, strony: online), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2024.7 - link to the publication
  8. On Furstenberg systems of aperiodic multiplicative functions of Matomäki, Radziwiłł, and Tao
    Authors:
    A. Gomilko, M. Lemańczyk, Th. de la Rue
    Academic press:
    Journal of Modern Dynamics (), Wydawca: Am. Inst. Math. Sci. (AIMS)
    Status:
    Published
    DOI:
    10.3934/jmd.2021018 - link to the publication
  9. Multiplicative automatic sequences
    Authors:
    J. Konieczny, M. Lemańczyk, C. Müllner
    Academic press:
    Mathematische Zeitschrift (), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00209-021-02834-3 - link to the publication
  10. Prime number theorem for analytic skew products
    Authors:
    A. Kanigowski, M. Lemańczyk, M. Radziwiłł
    Academic press:
    Annals of Mathematics (), Wydawca: Princeton University
    Status:
    Published
    DOI:
    10.4007/annals.2024.199.2.2 - link to the publication
  11. Dynamics of B-free systems generated by Behrend sets. I
    Authors:
    S. Kasjan, M. Lemańczyk, S. Zuniga Alterman
    Academic press:
    Acta Arithmetica (), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/aa220525-14-2 - link to the publication
  12. Ergodic cocycles of IDPFT systems and non-singular Gaussian actions
    Authors:
    A. Danilenko, M. Lemańczyk
    Academic press:
    Ergodic Theory and Dynamical Systems (), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2020.145 - link to the publication
  13. Ergodicity, mixing, Ratner's properties and disjointness for classical flows: on the research of Corinna Ulcigrai
    Authors:
    M. Lemańczyk
    Academic press:
    Journal of Modern Dynamics (), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/jmd.2022005 - link to the publication
  14. Rigidity in dynamics and Möbius disjointness
    Authors:
    A. Kanigowski, M. Lemańczyk, M. Radziwiłł
    Academic press:
    Fundamenta Mathematicae (), Wydawca: Inst. Math., Polish Acad. Sci.
    Status:
    Published
    DOI:
    10.4064/fm931-11-2020 - link to the publication

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