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    Article

    The Rohlin tower theorem and hyper-finiteness for actions of continuous groups

    We prove the Rohlin tower theorem for free measure preserving actions of locally compact second countable solvable groups and almost connected amenable groups. This theorem was known for l.c.s.c. abelian group...

    Caroline Series in Israel Journal of Mathematics (1978)

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    Article

    Foliations of polynomial growth are hyperfinite

    We define a class of equivalence relations with polynomial growth and show that such relations always support finite invariant measures and are hyperfinite. In particular, foliations of polynomial growth defin...

    Caroline Series in Israel Journal of Mathematics (1979)

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    Article

    Markov maps associated with fuchsian groups

    Rufus Bowen, Caroline Series in Publications Mathématiques de l'Institut d… (1979)

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    Article

    Martin boundaries of random walks on Fuchsian groups

    Let Γ be a finitely generated non-elementary Fuchsian group, and let μ be a probability measure with finite support on Γ such that supp μ generates Γ as a semigroup. If Γ contains no parabolic elements we show...

    Caroline Series in Israel Journal of Mathematics (1983)

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    Article

    Combinatorics of simple closed curves on the twice punctured torus

    In the standard enumeration of homotopy classes of curves on a surface as words in a generating set for the fundamental group it is a very hard problem to discern those that are simple. In this paper we descri...

    Linda Keen, John R. Parker, Caroline Series in Israel Journal of Mathematics (1999)