منابع مشابه
Pseudo-anosov Foliations on Periodic Surfaces
In this note we shall study the lifts of stable foliations of pseudo-Anosov diffeomorphism to certain infinite abelian covers. This is motivated, at least in part, by recent progress in understanding the ergodic properties of the analogous horocycle flows on infinite surfaces [3],[13]. Our aim is to show that many of the results from that context hold in this natural and technically simpler set...
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We give sharp regularity results for the invariant subbundles of hyperbolic dynamical systems and give open dense sets of codimension one systems where this regularity is not exceeded as well as open dense sets of symplectic, geodesic, and codimension one systems where the analogous regularity results of [PSW] are optimal. We produce open sets of symplectic Anosov diffeomorphisms and flows with...
متن کاملOn Period Minimal Pseudo-anosov Braids
A family of period minimal pseudo-Anosov braids, one for each pair of Farey neighbors in (0, 1/2], is described.
متن کاملPseudo-Anosov dilatations and the Johnson filtration
Answering a question of Farb–Leininger–Margalit, we give explicit lower bounds for the dilatations of pseudo-Anosov mapping classes lying in the kth term of the Johnson filtration of the mapping class group.
متن کاملA family of pseudo-Anosov maps
We study a family of area-preserving maps of the 2-torus and show that they are pseudo-Anosov. We present a method to construct finite Markov partitions for this family which utilizes their common symmetries. Through these partitions we show explicitly that each map is a tower over a first return map, intimately linked to a toral automorphism. This enables us to calculate directly some dimensio...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1990
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1990.142.159