It is a known fact that an iterated function system (IFS) of entire functions is not necessarily ergodic. In this paper we show that if an IFS of analytic functions is defined in a domain whose boundary contains more than two points (in the extended complex plane) then the system possesses an ergodic property.
机构:
Tech Univ Crete, Dept Mineral Resourses Engn, Geostat Res Unit, Khania 73100, GreeceTech Univ Crete, Dept Mineral Resourses Engn, Geostat Res Unit, Khania 73100, Greece
Hristopulos, Dionissios T.
Elogne, Samuel N.
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Tech Univ Crete, Dept Mineral Resourses Engn, Geostat Res Unit, Khania 73100, Greece
Univ Alberta, Sch Min & Petr Engn, Edmonton, AB T6G 2W2, CanadaTech Univ Crete, Dept Mineral Resourses Engn, Geostat Res Unit, Khania 73100, Greece