@article{Gao2025, 
author = {Yang Gao and Qingzhong Ji},
title = {On the inverse stability of        z    n    +  c},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {3},
pages = {1414-1428},
keywords = {stability, polynomial irreducibility, iterations, arithmetic dynamics},
url = {https://www.sciopen.com/article/10.3934/era.2025066},
doi = {10.3934/era.2025066},
abstract = {Let    ϕ  (  z  )  =      z    d    +  c be a polynomial over a field    K  . We study the inverse stability of    ϕ  (  z  ) over    K  . In this paper, we establish some sufficient conditions for the inverse stability of    ϕ  (  z  ) over the field of rational numbers and a function field. Furthermore, we also provide necessary and sufficient conditions for the inverse stability of    ϕ  (  z  ) over a finite field.}
}