Finite-orbit conjecture for sufficiently large sets of quadratic polynomials
Let S={x2+c1,x2+c2,…,x2+cs}S=\{x^2+c_1,x^2+c_2,\dots,x^2+c_s\}S={x2+c1,x2+c2,…,x2+cs} be a set of distinct quadratic polynomials with ci∈Qc_i\in\mathbb{Q}ci∈Q. A point P∈QP\in\mathbb{Q}P∈Q has finite orbit for SSS if its forward orbit…