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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Zeta functions of groups and dynamical systems

2016/23/G/ST1/04280

Keywords:

Zeta functions of groups representation growth dynamical zeta functions Nielsen theory Reidemeister torsion

Descriptors:

  • ST1_2: Algebra
  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_6: Topology

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

woj. 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 (Y-m-d): 2018-01-03

Project end date (Y-m-d): 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 (1 000 PLN)

Information in the final report

  • Publication in academic press/journals (7)
  1. 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 (rok: 2020, tom: 27, strony: 199-211), Wydawca: Springer-Pleades Publishing, Ltd
    Status:
    Published
    DOI:
    10.1134/S1061920820020065 - 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 (rok: 2018, tom: 20, strony: 31 pages), Wydawca: Springer-Birkhäuser
    Status:
    Published
    DOI:
    0.1007/s11784-018-0541-6 - link to the publication
  3. Polya-Carlson dichotomy for coincidence Reidemeister zeta functions via profinite completions
    Authors:
    Alexander Fel'shtyn and Benjamin Klopsch
    Academic press:
    Annali di Matematica Pura ed Applicata (1923 -) , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. Dynamical zeta functions of Reidemeister type
    Authors:
    Alexander Felshtyn and Malwina Zietek
    Academic press:
    Topological Methods in Nonlinear Analysis (rok: 2020, tom: 56, strony: 433-455), Wydawca: Juliusz Schauder University Centre for Nonlinear Studies
    Status:
    Published
    DOI:
    10.12775/TMNA.2020.023 - link to the publication
  5. Dynamical zeta functions of Reidemeister type and representations spaces
    Authors:
    Alexander Felshtyn and Malwina Zietek
    Academic press:
    Contemporary Mathematics (rok: 2020, tom: 744, strony: 57-81), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/conm/744/14979 - link to the publication
  6. Twisted Burnside – Frobenius theory for Endomorphisms of Polycyclic Groups
    Authors:
    A.L. Felshtyn and E.V. Troitsky
    Academic press:
    Russian Journal of Mathematical Physics (rok: 2018, tom: 25, strony: 17-26), Wydawca: Springer-Pleades Publishing, Ltd
    Status:
    Published
    DOI:
    10.1134/S1061920818010028 - link to the publication
  7. 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 (rok: 2020, tom: 23, strony: 945-964), Wydawca: DE GRUYTER
    Status:
    Published
    DOI:
    10.1515/jgth-2020-0097 - link to the publication

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