| Popis: |
To investigate the dynamical behaviour of a discrete dynamical system given by a map f, it is nowadays a standard method to look at the discretization of the Frobenius–Perron operator $$P$$ f w.r.t. a box-partition of the state space resulting in a transition matrix P f, N of a finite Markov chain. We are interested in information about the dynamics of f obtained from the spectrum of P f, N , especially for circle diffeomorphisms. Therefore the spectra of $$P$$ f and P f, N are investigated. |
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