On the stochastic bifurcations regarding random iterations of polynomials of the form $z^{2} + c_{n}$
On the stochastic bifurcations regarding random iterations of polynomials of the form $z^{2} + c_{n}$
Abstract In this paper, we consider random iterations of polynomial maps $z^{2} + c_{n}$ , where $c_{n}$ are complex-valued independent random variables following the uniform distribution on the closed disk with center c and radius r . The aim of this paper is twofold. First, we study the (dis)connectedness of …