Zeta functions of groups and dynamical systems

2016/23/G/ST1/04280

Keywords

Descriptors

  • ST1_2: Algebra
  • ST1_10: Równania różniczkowe zwyczajne i układy dynamiczne
  • ST1_6: Topologia

Panel

ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution

Uniwersytet Szczeciński, Wydział Matematyczno-Fizyczny

Voivodeship: zachodniopomorskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

dr hab. Aleksander Felshtyn

Number of co-investigators in the project: 2

Call

BEETHOVEN 2 – announced on 2016-09-15

Amount awarded
457 472 PLN
Project start date
2018-01-03
Project end date
2021-01-02
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.

Equipment purchased [PL]

  1. Drukarka. Cost: 1 000 PLN

Information in the final report

Publication in academic press/journals (6)

  1. Growth rate for endomorphisms of finitely generated nilpotent groups

    Authors:
    Alexander Felshtyn, Jang Hyun Jo and Jong Bum Lee
    Academic press:
    Journal of Group Theory (year: 2020, volume: 23, pages: 945-964), Publisher: DE GRUYTER
    Status:
    Published
    DOI:
    10.1515/jgth-2020-0097 – link to the publication
  2. The Nielsen numbers of iterations of maps on infra-solvmanifolds of type (R) and periodic orbits

    Authors:
    Alexander Felshtyn and Jong Bum Lee
    Academic press:
    Journal of Fixed Point Theory and Applications (year: 2018, volume: 20, pages: 31 pages), Publisher: Springer-Birkhäuser
    Status:
    Published
  3. New dynamical zeta functions of Reidemeister type and twisted Burnside-Frobenius theory

    Authors:
    Alexander Felshtyn, Evgenij Troitsky, Malwina Zietek
    Academic press:
    Russian Journal of Mathematical Physics (year: 2020, volume: 27, pages: 199-211), Publisher: Springer-Pleades Publishing, Ltd
    Status:
    Published
    DOI:
    10.1134/S1061920820020065 – link to the publication
  4. Dynamical zeta functions of Reidemeister type

    Authors:
    Alexander Felshtyn and Malwina Zietek
    Academic press:
    Topological Methods in Nonlinear Analysis (year: 2020, volume: 56, pages: 433-455), Publisher: Juliusz Schauder University Centre for Nonlinear Studies
    Status:
    Published
    DOI:
    10.12775/TMNA.2020.023 – link to the publication
  5. Twisted Burnside – Frobenius theory for Endomorphisms of Polycyclic Groups

    Authors:
    A.L. Felshtyn and E.V. Troitsky
    Academic press:
    Russian Journal of Mathematical Physics (year: 2018, volume: 25, pages: 17-26), Publisher: Springer-Pleades Publishing, Ltd
    Status:
    Published
    DOI:
    10.1134/S1061920818010028 – link to the publication
  6. Dynamical zeta functions of Reidemeister type and representations spaces

    Authors:
    Alexander Felshtyn and Malwina Zietek
    Academic press:
    Contemporary Mathematics (year: 2020, volume: 744, pages: 57-81), Publisher: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/conm/744/14979 – link to the publication

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