Geodesic
The limit set of a Fuchsian group and Dyn'kin's lemma
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 31, Tome 303 (2003), pp. 89-101 Cet article a éte moissonné depuis la source Math-Net.Ru

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A geometric description (like Dyn'kin's lemma for the porous sets) of the sets $E\subset\mathbb T$ such that $\log\operatorname{dist}^{-1}(x,E)$ has bounded lower oscillation (BLO) is given. As a corollary, a new proof of the Shirokov–Semenova theorem on the limit set of a finitely generated Fuchsian group of the second kind is obtained. 
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A. V. Vasin. The limit set of a Fuchsian group and Dyn'kin's lemma. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 31, Tome 303 (2003), pp. 89-101. http://geodesic.mathdoc.fr/item/ZNSL_2003_303_a3/

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