Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Ergodic theory: disjointness, genericity via non-conventional ergodic theorems and connections with number theory

2014/15/B/ST1/03736

Keywords:

Sarnak's conjecture non-conventional ergodic theorems joinings Möbius function

Descriptors:

  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_3: Number theory

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 Lemańczyk 

Number of co-investigators in the project: 5

Call: OPUS 8 - announced on 2014-09-15

Amount awarded: 494 490 PLN

Project start date (Y-m-d): 2015-07-13

Project end date (Y-m-d): 2019-02-12

Project duration:: 43 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Ultrabook (10 500 PLN)

Information in the final report

  • Publication in academic press/journals (15)
  • Book publications / chapters in book publications (4)
  1. A generalization of Kátai's orthogonality criterion with applications
    Authors:
    V. Bergelson, J. Kułaga-Przymus, M. Lemańczyk, F.K. Richter
    Academic press:
    Discrete & Continuous Dynamical Systems - A (rok: 2019, tom: 39, strony: 2581-2612), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2019108 - link to the publication
  2. Approximate orthogonality of powers for ergodic affine unipotent diffeomorphisms on nilmanifolds
    Authors:
    L. Flaminio, K. Frączek, J. Kułaga-Przymus, M. Lemańczyk
    Academic press:
    Studia Mathematica (rok: 2019, tom: 244, strony: 43-97), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/sm170512-25-9 - link to the publication
  3. Automorphisms of Toeplitz B-free systems
    Authors:
    A. Dymek
    Academic press:
    Bulletin of the Polish Academy of Sciences. Mathematics (rok: 2017, tom: 65, strony: 139-152), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/ba8115-10-2017 - link to the publication
  4. Flows with Ratner's property have discrete essential centralizer
    Authors:
    A. Kanigowski, M. Lemańczyk
    Academic press:
    Studia Mathematica (rok: 2017, tom: 237, strony: 185-194), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/sm8660-11-2016 - link to the publication
  5. Möbius disjointness for models of an ergodic system and beyond
    Authors:
    H. Abdalaoui, J. Kułaga-Przymus, M. Lemańczyk, T. de la Rue
    Academic press:
    Israel Journal of Mathematics (rok: 2018, tom: 228, strony: 707-751), Wydawca: The Hebrew University Magnes Press
    Status:
    Published
    DOI:
    10.1007/s11856-018-1784-z - link to the publication
  6. Automorphisms with Quasi-discrete Spectrum, Multiplicative Functions and Average Orthogonality Along Short Intervals
    Authors:
    H. Abdalaoui, M. Lemańczyk, T. de la Rue
    Academic press:
    International Mathematics Research Notices (rok: 2017, tom: 2017, strony: 4350-4368), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnw146 - link to the publication
  7. The Chowla and the Sarnak conjectures from ergodic theory point of view
    Authors:
    H. Abdalaoui, J. Kułaga-Przymus, M. Lemańczyk, T. de la Rue
    Academic press:
    Discrete and Continuous Dynamical Systems (rok: 2017, tom: 37, strony: 2899 - 2944), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2017125 - link to the publication
  8. A structure theorem for level sets of multiplicative functions and applications
    Authors:
    V. Bergelson, J. Kułaga-Przymus, M. Lemańczyk, F. Richter
    Academic press:
    International Math. Research Notices (rok: 2020, tom: 2020, strony: 1300-1345), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rny040 - link to the publication
  9. Dynamics of B-free sets: a view through the window
    Authors:
    S. Kasjan, G. Keller, M. Lemańczyk
    Academic press:
    International Mathematics Research Notices (rok: 2019, tom: 2019, strony: 2690-2734), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnx196 - link to the publication
  10. Möbius disjointness along ergodic sequences for uniquely ergodic actions
    Authors:
    J. Kułaga-Przymus, M. Lemańczyk
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2019, tom: 39, strony: 2793-2826), Wydawca: Cambridge Univ. Press
    Status:
    Published
    DOI:
    10.1017/etds.2017.134 - link to the publication
  11. B-free sets and dynamics
    Authors:
    A. Dymek, S. Kasjan, J. Kułaga-Przymus, M. Lemańczyk
    Academic press:
    Transactions of the American Mathematical Society (rok: 2018, tom: 370, strony: 5425-5489), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/7132 - link to the publication
  12. Centralizer and liftable centralizer of special flows over rotations
    Authors:
    J.-P. Conze, M. Lemańczyk
    Academic press:
    Nonlinearity (rok: 2018, tom: 31, strony: 3939-3972), Wydawca: IOP Publishing Ltd & London Mathematical Society
    Status:
    Published
    DOI:
    10.1088/1361-6544/aac6ab - link to the publication
  13. K-property for Maharam extensions of nonsingular Bernoulli and Markov shifts
    Authors:
    A. Danilenko, M. Lemańczyk
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2019, tom: 39, strony: 3292-3321), Wydawca: Cambridge Univ. Press
    Status:
    Published
    DOI:
    10.1017/etds.2018.14 - link to the publication
  14. Multiple mixing and parabolic divergence in smooth area-preserving flows on higher genus surfaces
    Authors:
    A. Kanigowski, J. Kułaga-Przymus, C. Ulcigrai
    Academic press:
    Journal of the European Mathematical Society (rok: 2019, tom: 21, strony: 3797–3855), Wydawca: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/JEMS/914 - link to the publication
  15. Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics
    Authors:
    V. Bergelson, J. Kułaga-Przymus, M. Lemańczyk, F.K. Richter
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2019, tom: 39, strony: 2332-2383), Wydawca: Cambridge Univ. Press
    Status:
    Published
    DOI:
    10.1017/etds.2017.130 - link to the publication
  1. Hereditary subshifts whose simplex of invariant measures is Poulsen
    Authors:
    J. Kułaga-Przymus, M. Lemańczyk, B. Weiss
    Book:
    Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby (rok: 2016, tom: Contem Math 678, strony: 245-253), Wydawca: American Mathematical Society
    Status:
    Published
  2. Sarnak's conjecture implies the Chowla conjecture along a subsequence
    Authors:
    A. Gomilko, D. Kwietniak, M. Lemańczyk
    Book:
    Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics, CIRM Jean-Morlet Chair, Fall 2016, Editors: S. Ferenczi, J. Kułaga-Przymus, M. Lemańczyk (rok: 2017, tom: LNMath 2213, strony: 223-233), Wydawca: Springer International Publishing
    Status:
    Published
  3. Substitutions and Möbius disjointness
    Authors:
    S. Ferenczi, J. Kułaga-Przymus, M. Lemańczyk, C. Mauduit
    Book:
    Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby (rok: 2016, tom: Contem Math 678, strony: 151-173), Wydawca: American Mathematical Society
    Status:
    Published
  4. Sarnak's Conjecture - what's new
    Authors:
    S. Ferenczi, J. Kułaga-Przymus, M. Lemańczyk
    Book:
    Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics, CIRM Jean-Morlet Chair, Fall 2016, Editors: S. Ferenczi, J. Kułaga-Przymus, M. Lemańczyk (rok: 2017, tom: LNMath 2213, strony: 153-222), Wydawca: Springer International Publishing
    Status:
    Published

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