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Subjects
37-XX Dynamical systems and ergodic theory
37Dxx Dynamical systems with hyperbolic behavior
37D99 None of the above, but in this section

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Displaying 1 – 7 of 7

Induced expansion for quadratic polynomials

Jacek Graczyk, Grzegorz Świątek (1996)

Annales scientifiques de l'École Normale Supérieure

Inflationary tilings with a similarity structure.

Richard Kenyon (1994)

Commentarii mathematici Helvetici

Invariant densities for C¹ maps

Anthony Quas (1996)

Studia Mathematica

We consider the set of $C^{1}$ expanding maps of the circle which have a unique absolutely continuous invariant probability measure whose density is unbounded, and show that this set is dense in the space of $C^{1}$ expanding maps with the $C^{1}$ topology. This is in contrast with results for $C^{2}$ or $C^{1 + ε}$ maps, where the invariant densities can be shown to be continuous.

Invariant measures exist under a summability condition for unimodal maps.

Tomasz Nowicki, Sebastian van Strien (1991)

Inventiones mathematicae

Invariant measures for a diffeomorphism which expands the leaves of a foliation

David Ruelle (1978)

Publications Mathématiques de l'IHÉS

Invariant Sets of Anosovs Diffeomorphisms.

Ricardo Mané (1978)

Inventiones mathematicae

Invariant sets with zero measure and full Hausdorff dimension.

Barreira, Luis, Schmeling, Jörg (1997)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Currently displaying 1 – 7 of 7

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