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Jana Rodriguez-Hertz

Publications and source records attributed to Jana Rodriguez-Hertz.

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On the Number of Periodic Points for Expansive Pseudo-Groups

In this work we consider foliations of compact manifolds whose holonomy pseudo-group is expansive, and analyze their number of compact leaves. Our main result is that in the codimension-one case this number is at most finite, and we give examples of such foliations having one compact leaf.

math.DS

Structure of accessibility classes

In this work we deal with partially hyperbolic diffeomorphisms whose central direction is two dimensional. We prove that in general the accessibility classes are immersed manifolds. If, furthermore, the diffeomorphism is dynamically coherent and satisfies certain bunching condition, then the accessibility classes are $C^{1}$ immersed manifolds.

math.DS