On the growth of the number of primitive totally geodesic surfaces in some hyperbolic 3-manifolds
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DOI: 10.1016/j.jnt.2019.01.012
Abstract: Abstract Let d be a positive square-free integer ≡ 3 ( mod 4 ) such that the ideal class group of Q [ − d ] does not contain an element of order 4. We… read more here.
Keywords: number; geodesic surfaces; growth number; number primitive ... See more keywords
Fast growth of the number of periodic points arising from heterodimensional connections
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DOI: 10.1112/s0010437x21007405
Abstract: We consider $C^{r}$-diffeomorphisms ($1 \leq r \leq +\infty$) of a compact smooth manifold having two pairs of hyperbolic periodic points of different indices which admit transverse heteroclinic points and are connected through a blender. We… read more here.
Keywords: periodic points; fast growth; growth number; number periodic ... See more keywords