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has wandering domains. However, the result can be generalized to many situations where the functions naturally belong to a finite-dimensional parameter space, most notably to transcendental entire and meromorphic functions with a finite number of singular values.
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Quasiconformal homeomorphisms and dynamics. I. Solution of the Fatou-Julia problem on wandering domains
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The theorem does not hold for arbitrary maps; for example, the
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184:{\displaystyle U,f(U),f(f(U)),\dots ,f^{n}(U),\dots }
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