15 citations · 110 across the 32 of their papers we have counts for
36 papers
The Reidemeister and the Nielsen numbers: growth rate, asymptotic behavior, dynamical zeta functions and the Gauss congruences
Alexander Fel'shtyn, Mateusz Slomiany
In the present paper, taking a dynamical point on view, we study the growth rate and asymptotic behavior of the sequences of the Reidemeister numbers and the sequences of the Reide…
Synchronization points: growth, asymptotics, congruences, and the synchronization zeta function
Alexander Fel'shtyn, Mateusz Slomiany
In this paper, we introduce the synchronization zeta function associated with a pair of self-maps of a topological space and investigate its properties. We also define the growth r…
Towards a dichotomy for the Reidemeister zeta function
Wojciech Bondarewicz, Alexander Fel'shtyn, Malwina Zietek
We prove a dichotomy between rationality and a natural boundary for the analytic behavior of the Reidemeister zeta function for automorphisms of non-finitely generated torsion abel…
Pólya-Carlson dichotomy for coincidence Reidemeister zeta functions via profinite completions
Alexander Fel'shtyn, Benjamin Klopsch
We consider coincidence Reidemeister zeta functions for tame endomorphism pairs of nilpotent groups of finite rank, shedding new light on the subject by means of profinite completi…
Dynamical zeta functions of Reidemeister type and representations spaces
Alexander Fel'shtyn, Malwina Zietek
In this paper we continue to study the Reidemeister zeta function. We prove Pólya -- Carlson dichotomy between rationality and a natural boundary for analytic behavior of the Reide…
New zeta functions of Reidemeister type and twisted Burnside-Frobenius theory
Alexander Fel'shtyn, Evgenij Troitsky, Malwina Ziętek
We introduce new zeta functions related to an endomorphism of a discrete group . They are of two types: counting numbers of fixed () irreducible representat…