Positive fixed-point proportion dichotomy for polynomial iterated Galois groups
Let KKK be a field and let f∈K[x]f\in K[x]f∈K[x] be a polynomial of degree d≥2d\geq 2d≥2. Assume either that char(K)=0\operatorname{char}(K)=0char(K)=0 or that char(K)\operatorname{char}(K)char(K) does not divide the local…