Random Logistic Maps. I

K. B. Athreya and Jack Dai
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K. B. Athreya: Iowa State University
Jack Dai: Iowa State University

Journal of Theoretical Probability, 2000, vol. 13, issue 2, 595-608

Abstract: Abstract Let {C i}∞ 0 be a sequence of independent and identically distributed random variables with vales in [0, 4]. Let {X n}∞ 0 be a sequence of random variables with values in [0, 1] defined recursively by X n+1=C n+1 X n(1−X n). It is shown here that: (i) E ln C 1 0, E |ln(4−C 1)| 0 and −∫ ln(1−x) π(dx)=E ln C 1. (v) E ln C 1>0, E |ln(4−C 1)|

Keywords: random logistic maps; invariant measure (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (2)

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DOI: 10.1023/A:1007828804691

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