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 and spectral properties of dynamical systems on surfaces and related topics

2011/03/B/ST1/00407

Keywords:

ergodicity flows on surfaces rigidity of dynamical systems spectral theory

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 :

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: 7

Call: OPUS 2 - announced on 2011-09-15

Amount awarded: 785 000 PLN

Project start date (Y-m-d): 2012-08-31

Project end date (Y-m-d): 2015-08-30

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputer przenośny Dell Vostro 3560 (5 000 PLN)
  2. Komputer przenośny Apple MacbBook Air.
  3. Komputer stacjonarny Dell Inspiration One 2330 (7 000 PLN)

Information in the final report

  • Publication in academic press/journals (28)
  • Book publications / chapters in book publications (1)
  1. Non-ergodic Z-periodic billiards and infinite translation surfaces
    Authors:
    K. Frączek, C. Ulcigrai
    Academic press:
    Inventiones Mathematicae (rok: 2014, tom: 197, strony: 241-298), Wydawca: Springer Berlin Heidelberg
    Status:
    Published
    DOI:
    10.1007/s00222-013-0482-z - link to the publication
  2. Non-reversibility and self-joinings of higher orders for ergodic flows
    Authors:
    K. Frączek, J. Kułaga, M. Lemańczyk
    Academic press:
    Journal d'Analyse Mathematique (rok: 2014, tom: 122, strony: 163-227), Wydawca: The Hebrew University Magnes Press
    Status:
    Published
    DOI:
    10.1007/s11854-014-0007-8 - link to the publication
  3. A Jost-Pais-type reduction of Fredholm determinants and some applications
    Authors:
    A. Carey, F. Gesztesy, D. Potapov, F. Sukochev, Y. Tomilov
    Academic press:
    Integral Equations and Operator Theory (rok: 2014, tom: 79, strony: 389-447), Wydawca: Springer Basel
    Status:
    Published
    DOI:
    10.1007/s00020-014-2150-0 - link to the publication
  4. Directional localization of light rays in a periodic array of retro-reflector lenses
    Authors:
    K. Frączek, M. Schmoll
    Academic press:
    Nonlinearity (rok: 2014, tom: 27, strony: 1689–1707), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/0951-7715/27/7/1689 - link to the publication
  5. Multiple mixing for a class of conservative surface flows
    Authors:
    B. Fayad, A.Kanigowski
    Academic press:
    Inventiones Mathematicae (rok: 2015, tom: brak, strony: brak), Wydawca: Springer Berlin Heidelberg
    Status:
    Published
    DOI:
    10.1007/s00222-015-0596-6 - link to the publication
  6. On embeddability of automorphisms into measurable flows from the point of view of self-joining properties
    Authors:
    Joanna Kułaga-Przymus
    Academic press:
    Fundamenta Mathematicae (rok: 2015, tom: 230, strony: 15-76), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/fm230-1-2 - link to the publication
  7. Resolvent characterisation of generators of cosine functions and C_0-groups
    Authors:
    S. Król
    Academic press:
    Journal of Evolution Equations (rok: 2013, tom: 13, strony: 281-309), Wydawca: SP Birkhäuser Verlag Basel
    Status:
    Published
    DOI:
    10.1007/s00028-013-0178-2 - link to the publication
  8. The M"{o}bius function and continuous extensions of rotations
    Authors:
    Joanna Kułaga-Przymus, Mariusz Lemańczyk
    Academic press:
    Monatshefte Math. (rok: 2015, tom: brak, strony: brak), Wydawca: Springer Vienna
    Status:
    Published
    DOI:
    10.1007/s00605-015-0808-6 - link to the publication
  9. Ergodic directions for billiards in a strip with periodically located obstacles
    Authors:
    K. Frączek, C. Ulcigrai
    Academic press:
    Communications in Mathematical Physics (rok: 2014, tom: 237, strony: 643-663), Wydawca: Springer Berlin Heidelberg
    Status:
    Published
    DOI:
    10.1007/s00220-014-2017-x - link to the publication
  10. Ratner's property and mild mixing for smooth flows on surfaces
    Authors:
    Adam Kanigowski, Joanna Kułaga-Przymus
    Academic press:
    Ergodic Theory Dynam. Systems (rok: 2015, tom: brak, strony: brak), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2015.35 - link to the publication
  11. On one-parameter Koopman groups
    Authors:
    A.F.M. ter Elst, Mariusz Lemańczyk
    Academic press:
    Ergodic Theory Dynam. Systems (rok: 2015, tom: brak, strony: brak), Wydawca: Cambridge University Press
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  12. On convergence rates in approximation theory for operator semigroups
    Authors:
    A. Gomilko, Yu. Tomilov
    Academic press:
    Journal of Functional Analysis (rok: 2014, tom: 266, strony: 3040-3082), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2013.11.012 - link to the publication
  13. 0-1 sequences of the Thue-Morse type and Sarnak's conjecture
    Authors:
    H. Abdalaoui, M. Lemańczyk, S. Kasjan
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2015, tom: brak, strony: brak), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/12683 - link to the publication
  14. A class of mixing special flows over two-dimensional rotations
    Authors:
    K. Frączek, M. Lemańczyk
    Academic press:
    Discrete and Continuous Dynamical Systems - Series A (rok: 2015, tom: 35, strony: 4823 - 4829), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2015.35.4823 - link to the publication
  15. Addendum to: Capillary floating and the billiard ball problem
    Authors:
    E. Gutkin
    Academic press:
    J. Math. Fluid Mech. (rok: 2013, tom: 15, strony: 425-430), Wydawca: SP Birkhäuser Verlag Basel
    Status:
    Published
    DOI:
    10.1007/s00021-012-0111-4 - link to the publication
  16. Bernstein functions and rates in mean ergodic theorems for operator semigroups
    Authors:
    A. Gomilko, M. Haase, Yu. Tomilov
    Academic press:
    Journal d'Analyse Mathématique (rok: 2012, tom: 118, strony: 545-576), Wydawca: The Hebrew University Magnes Press
    Status:
    Published
    DOI:
    10.1007/s11854-012-0044-0 - link to the publication
  17. On invariant measures for B-free systems
    Authors:
    J. Kułaga-Przymus, M. Lemańczyk, B. Weiss
    Academic press:
    Proceedings of the London Mathematical Society (rok: 2015, tom: 110 (6), strony: 1435-1474), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/plms/pdv017 - link to the publication
  18. On special flows over IETs that are not isomorphic to their inverses
    Authors:
    P. Berk, K. Frączek
    Academic press:
    Discrete and Continuous Dynamical Systems - Series A (rok: 2015, tom: 35, strony: 829 - 855), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2015.35.829 - link to the publication
  19. IP-rigidity and eigenvalue groups
    Authors:
    J. Aaronson, M. Hosseini, M. Lemańczyk
    Academic press:
    Ergodic Theory Dynam. Systems (rok: 2014, tom: 34, strony: 1057-1076), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2012.186 - link to the publication
  20. On spectral disjointness of powers for rank-one transformations and Möbius orthogonality
    Authors:
    El H. El Abdalaoui, M. Lemańczyk, Th. de la Rue
    Academic press:
    Journal of Functional Analysis (rok: 2014, tom: 266, strony: 284–317), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2013.09.005 - link to the publication
  21. Product formulas in functional calculi for sectorial operators
    Authors:
    Ch. Batty, A. Gomilko, Y. Tomilov
    Academic press:
    Mathematische Zeitschrift (rok: 2015, tom: 279, strony: 479-507), Wydawca: Springer Berlin Heidelberg
    Status:
    Published
    DOI:
    10.1007/s00209-014-1378-3 - link to the publication
  22. Odometer actions of the Heisenberg group
    Authors:
    Alexandre Danilenko, Mariusz Lemanczyk
    Academic press:
    Journal d'Analyse Math. , Wydawca: The Hebrew University Magnes Press
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  23. A Dynamical Point of View on the Set of B-Free Integers
    Authors:
    El H. El Abdalaoui, M. Lemańczyk, Th. de la Rue
    Academic press:
    International Mathematics Research Notices (rok: 2015, tom: 2015, strony: 7258–7286), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnu164 - link to the publication
  24. Joint numerical ranges, quantum maps, and joint numerical shadows
    Authors:
    E. Gutkin, K. Życzkowski
    Academic press:
    Linear Algebra Appl. (rok: 2013, tom: 438, strony: 2394–2404), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.0432394–2404 - link to the publication
  25. Large weak orbits of C_0-semigroups
    Authors:
    V. Müller, Yu. Tomilov
    Academic press:
    Acta Sci. Math. (Szeged) (rok: 2013, tom: 79, strony: 475-505), Wydawca: János Bolyai Mathematical Institute of the University of Szeged
    Status:
    Published
    DOI:
    brak - link to the publication
  26. On a multi-dimensional generalization of the notions of orthostochastic and unistochastic matrices
    Authors:
    E. Gutkin
    Academic press:
    Journal of Geometry and Physics (rok: 2013, tom: 74, strony: 28–35), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2013.06.009 - link to the publication
  27. On rates in Euler's formula for C_0-semigroups
    Authors:
    A. Gomilko. Yu. Tomilov
    Academic press:
    Proceedings of Symposia in Pure Mathematics (rok: 2013, tom: 87, strony: 133–151), Wydawca: AMS
    Status:
    Published
    DOI:
    10.1090/pspum/087/01453 - link to the publication
  28. Ratner's property for special flows over irrational rotations under functions of bounded variation. II.
    Authors:
    A. Kanigowski
    Academic press:
    Colloquium Mathematicum (rok: 2014, tom: 136, strony: 125-147), Wydawca: Institute of Mathematics Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.4064/cm136-1-11 - link to the publication
  1. Mixing automorphisms which are Markov quasi-equivalent but not weakly isomorphic
    Authors:
    K. Frączek, A. Piękniewska, D. Skrenty
    Book:
    Ergodic Theory and Dynamical Systems, De Gruyter Proceedings in Mathematics (rok: 2014, tom: brak, strony: 129-138), Wydawca: Walter de Gruyter GmbH
    Status:
    Published

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