Connectivity of Julia sets of transcendental meromorphic functions 

Taixés i Ventosa, Jordi (Date of defense: 2011-09-22)

Newton's method associated to a complex holomorphic function f is defined by the dynamical system Nf(z) = z – f(z) / f'(z). As a root-finding algorithm, a natural question is to understand the dynamics of Nf about its fixed ...