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- W2027452257 abstract "Let z 0 be an arbitrary point in the complex plane. For each positive integer n we choose s n ( z ) to be −5 (1 + z) or −0.5 (1 + z) equal probability. We introduce the orbit ( z n ) ∞ 0 , where z n = s n ( z n − 1) for n ≥ 1. We prove that with probability one the orbit is attracted to the real axis. In the proof, we have to do some calculations on a computer." @default.
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- W2027452257 date "1997-01-01" @default.
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- W2027452257 title "Iteration of Möbius transformations and attractors on the real line" @default.
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- W2027452257 doi "https://doi.org/10.1016/s0898-1221(96)00215-5" @default.
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