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math.DS2002★ 2 cited
The Gauss map on a class of interval translation mappings
H. Bruin, S. Troubetzkoy
We study the dynamics of a class of interval translation map on three intervals. We show that in this class the typical ITM is of finite type (reduce to an interval exchange transf…
math.DS2002★ 2 cited
Decay of correlations in one-dimensional dynamics
Henk Bruin, Stefano Luzzatto, Sebastian van Strien
We consider multimodal C^3 interval maps f satisfying a summability condition on the derivatives D_n along the critical orbits which implies the existence of an absolutely continuo…