Ergodic Theory of the Space of Measured Laminations
نویسندگان
چکیده
the subgroup of diffeomorphisms homotopic to the identity map. It acts naturally on the space ML(S) of compactly supported measured laminations on S: a piecewise linear space associated to S, whose quotient by the scalars PML(S) can be viewed as a boundary of the Teichmüller space T (S) (see Section 2 for more details on measured laminations and Teichmüller spaces). The space ML(S) has a piecewise linear integral structure of dimension 6g(S) − 6 + 2n(S). There is a natural Mod(S)-invariant locally finite measure on ML(S), the Thurston
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