Universitat de Barcelona
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This PhD thesis belongs to the area of discrete dynamical systems in the complex plane, i.e. the iteration of analytic functions in one complex variable. Given a rational map f from the Riemann sphere ...
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 ...
In this thesis we consider two different problems in the theory of dynamical systems. Dynamical systems cover a wide array of subjects, from finite dimensional to infinite dimensional, from analytic to ...
