Spectral Stability, Fatou Basin Contraction, and Machine-Checked Multipliers in Holomorphic Extensions of Generalized Syracuse Dynamics

Volkan Dağlı, Zerrin Dağlı, Dağhan Dağlı +2

We embed the Syracuse operator $T(n)=n/2$ (even $n$), $T(n)=(3n+1)/2$ (odd $n$) and the Collatz map $C(n)$ into $\mathbb{C}$ via entire functions of exponential type $\pi$: $f(z)…