There is a major open problem:
Is there a polynomial $f(z)$ such that the Julia set $T(J)$ of map$T:z\longrightarrow f(z)$ satisfied the Hausdorff dimension of J equal to 2?
There is a major open problem:
Is there a polynomial $f(z)$ such that the Julia set $T(J)$ of map$T:z\longrightarrow f(z)$ satisfied the Hausdorff dimension of J equal to 2?