2 papers
math.DS2026
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…
math.DS2026
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…