Ulam's method for computing stationary densities of invariant measures for piecewise convex maps with countably infinite number of branches

Let $\tau: I=[0, 1]\to [0, 1]$ be a piecewise convex map with countably infinite number of branches. In \cite{GIR}, the existence of absolutely continuous invariant measure (ACIM) $\mu$ for $\tau$ and the exactness of the system $(\tau, \mu)$ has been proven. In this paper, we develop an Ulam method...

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Hauptverfasser: Islam, Md Shafiqul, Góra, Paweł, Rahman, A H M Mahbubur
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Sprache:eng
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