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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Arithmetic properties of dynamical systems in positive characteristic.

2016/23/D/ST1/01124

Keywords:

dynamical systems positive characteristic arithmetic dynamics deformations of local group actions automatic sequences dynamical zeta functions Davenport-Erdős Theorem

Descriptors:

  • ST1_3: Number theory
  • 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 Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Jakub Byszewski 

Number of co-investigators in the project: 1

Call: SONATA 12 - announced on 2016-09-15

Amount awarded: 94 900 PLN

Project start date (Y-m-d): 2017-07-26

Project end date (Y-m-d): 2021-03-25

Project duration:: 44 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.

Equipment purchased [PL]

  1. Tablet Microsoft Surface Go 2 oraz pióro Microsoft Surface Pen (3 425 PLN)

Information in the final report

  • Publication in academic press/journals (4)
  • Articles in post-conference publications (1)
  1. Dold sequences, periodic points, and dynamics
    Authors:
    Jakub Byszewski, Grzegorz Graff, Thomas Ward
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2021, tom: 53, strony: 1263-1298), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms.12531 - link to the publication
  2. Dynamics on abelian varieties in positive characteristic
    Authors:
    Jakub Byszewski, Gunther Cornelissen (z appendixem, którego autorami są Robert Royals i Thomas Ward)
    Academic press:
    Algebra & Number Theory (rok: 2018, tom: 12, strony: 2185--2235), Wydawca: MSP
    Status:
    Published
    DOI:
    10.2140/ant.2018.12.2185 - link to the publication
  3. Automata and finite order elements in the Nottingham group
    Authors:
    Jakub Byszewski, Gunther Cornelissen, Djurre Tijsma
    Academic press:
    Journal of Algebra (rok: 2022, tom: 602, strony: 484-554), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2022.03.019 - link to the publication
  4. Dynamics of endomorphisms of algebraic groups and related systems
    Authors:
    Jakub Byszewski, Gunther Cornelissen, Marc Houben
    Academic press:
    Memoirs of the American Mathematical Society , Wydawca: American Mathematical Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. Dynamically affine maps in positive characteristic
    Authors:
    Jakub Byszewski, Gunther Cornelissen, Marc Houben; Lois van der Meijden jest współautorką appendixu do pracy
    Conference:
    Dynamics: Topology and Numbers (rok: 2020, ), Wydawca: American Mathematical Society
    Data:
    konferencja 43283
    Status:
    Published

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