Beschreibung:
<jats:title>Abstract</jats:title><jats:p>The purpose of this paper is to establish limit laws for volume preserving almost Anosov maps of <jats:inline-formula><jats:alternatives><jats:tex-math>$${{\mathbb {T}}}^2$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msup>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:math></jats:alternatives></jats:inline-formula> flows on 3-three manifolds having a transversally neutral periodic orbit of cubic saddle type. In the process, we derive estimates for the Dulac maps for neutral saddles in planar vector fields.</jats:p>