A result regarding convergence of random logistic maps

✍ Scribed by Jack Jie Dai

• Book ID: 104303217
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 80 KB
• Volume: 47
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(99)00131-5

✦ Synopsis

Let {Ci} ∞ 0 be i.i.d. random variables with values in [1; 4]. Deÿne random variables {Xn} ∞ 0 with values in [0; 1] by Xn+1 = CnXn(1 -Xn). Then under some mild conditions, the probability distribution of Xn converges in variation norm.