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Regular version of the site

Article

Constructions of conformal measures for generalized interval exchange transformations

Journal of Physics: Conference Series. 2018. Vol. 990. P. 012007.
Safonov K., Малкин М. И.

For onedimensional piecewise monotone discontionuous maps without periodic points, the 1-conformal measures are constructed and, as a corollary, semiconjugacy to piecewise linear models of constant (in absolute value) slope is obtained. It turns out that for generalized interval exchange transformations, the constructed semiconjugacy is, in fact, conjugacy .