The authors consider the random iteration of serval functions.Denote byJ(R)the Julia set for the random iteration dynamical system formed by a set of complex functionsR={R 1,R 2,…,R M}.Some sufficient conditions are ...The authors consider the random iteration of serval functions.Denote byJ(R)the Julia set for the random iteration dynamical system formed by a set of complex functionsR={R 1,R 2,…,R M}.Some sufficient conditions are given forJ(R)to have no interior points.Also some conditions are given forJ(R)to have interior points but fail to be the extended plane.In addition,J(az n,bz n)(n≥2,ab≠0)andJ(z 2+c 1,z 2+c 2)are investigated and some interesting results are obtained.展开更多
文摘The authors consider the random iteration of serval functions.Denote byJ(R)the Julia set for the random iteration dynamical system formed by a set of complex functionsR={R 1,R 2,…,R M}.Some sufficient conditions are given forJ(R)to have no interior points.Also some conditions are given forJ(R)to have interior points but fail to be the extended plane.In addition,J(az n,bz n)(n≥2,ab≠0)andJ(z 2+c 1,z 2+c 2)are investigated and some interesting results are obtained.
