3 problems

Preperiodicity conjecture for components of the p-adic Fatou set
Conjecture de pré-périodicité des composantes. Toutes les composantes de l'ensemble de Fatou sont pré-périodiques.
openFrom papersfatou-sets p-adic-dynamics rational-dynamics
0 responses
3
Conjecture on Fatou components of the symmetric critically finite maps
Fatou-set conjecture. For $n\geq 5$ , $F_g$ consists of the basins of attraction of the $p_m$ -points.
openFrom paperscomplex-dynamics critically-finite-maps fatou-sets
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4
The finiteness conjecture for large Fatou components of polynomials
Let $f:\mathbb{C}\to\mathbb{C}$ be a polynomial, and let a Fatou component mean a connected component of the Fatou set of $f$ . For $\epsilon>0$ , measure diameters in the usual Eucl…
openFrom paperscomplex-dynamics fatou-sets polynomial-dynamics
0 responses
6

Preperiodicity conjecture for components of the p-adic Fatou set