ERGODICITY OF SOME CLASSES OF MEROMORPHIC FUNCTIONS
ERGODICITY OF SOME CLASSES OF MEROMORPHIC FUNCTIONS
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发表时间：
1999
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通讯作者：
L. Keen;J. Kotus
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作者：
L. Keen;J. Kotus
考虑一类奇异值集有界且后奇异集的ω -极限集是紧排斥子的亚纯函数。我们证明了如果满足两个简单的增长条件，则函数在其Julia集上遍历。
We consider the class of meromorphic functions whose set of singular values is bounded and for which the ω -limit set of the post singular set is a compact repeller. We show that if two simple growth conditions are satisfied, then the function is ergodic on its Julia set.