Displaying similar documents to “One-sided Lebesgue Bernoulli maps of the sphere of degree n 2 and 2 n 2 .”

Partition sensitivity for measurable maps

C. A. Morales (2013)

Mathematica Bohemica

Similarity:

We study countable partitions for measurable maps on measure spaces such that, for every point x , the set of points with the same itinerary as that of x is negligible. We prove in nonatomic probability spaces that every strong generator (Parry, W., Aperiodic transformations and generators, J. London Math. Soc. 43 (1968), 191–194) satisfies this property (but not conversely). In addition, measurable maps carrying partitions with this property are aperiodic and their corresponding spaces...

Completely mixing maps without limit measure

Gerhard Keller (2004)

Colloquium Mathematicae

Similarity:

We combine some results from the literature to give examples of completely mixing interval maps without limit measure.

On fixed points of C 1 extensions of expanding maps in the unit disc

Roberto Tauraso (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

Using a result due to M. Shub, a theorem about the existence of fixed points inside the unit disc for C 1 extensions of expanding maps defined on the boundary is established. An application to a special class of rational maps on the Riemann sphere and some considerations on ergodic properties of these maps are also made.