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Заметки о динамике оператора Рюеля и инвариантных дифференциалах


П.М. Макиенко

2008, выпуск 2, С. 180–205


Аннотация
Для рационального отображения $R$ мы изучаем динамику его оператора Рюеля на пространствах дифференциальных форм. Получены необходимые и достаточные условия (в терминах специальных мер) для существования инвариантных измеримых конформных структур на множестве $J(R)$.

Ключевые слова: оператор Рюеля, множество Жулиа, квазиконформная деформация

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