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Published online by Cambridge University Press: 01 June 1997
We study one-dimensional transformations $T$ with indifferent fixed points$p$ and $q$ ($p$ and $q$ are fixed points with $ T^{\prime}(p) =T^{\prime}(q) = 1 $). In the case when $T$ has a Lebesgue equivalent infiniteinvariant measure, we give the ratio ergodic theorems which describe thelimit value of the ratio of the sojourn time of the trajectory$\{T^k(x)\}_{k=0}^n$ in a small neighborhood of $p$ to that in a smallneighborhood of $q$.