Julia sets of the random iteration systems and its subsystems

作     者：Zhou, J Qiu, WY Ren, FY 

作者机构：Fudan Univ Inst Math Shanghai 200433 Peoples R China 

出 版 物：《Chinese Science Bulletin》 (科学通报(英文版))

年 卷 期：1998年第43卷第4期

页      面：265-268页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：ThisworkwassupportedpartlybytheTianyuanFoundationofChinaandbytheDoctorFoundationofStateEducationCommissionofChina 

主　　题：normal family ergodic transformation Fatou set Julia set. 

摘      要：Suppose that P=(p\-1, p\-2, ..., p\-M)\% is a probability vector with p\-i0 and Y={1, 2, ..., M}. Let (Y, 2\+Y, μ) be a probability space with μ(i)=p\-i, i=1, 2, ..., M, and (∑\-M, B, m)= Π \+∞\-0(Y, 2\+U, μ). It is shown that for any a \%(0≤a ≤1) \%, there exists a set U∈B such that m(U)=a and the Julia set associated with U is equal to the Julia set associated with ∑\-M\%. Moreover repelling fixed points with respect to U are dense in the Julia set associated with U.