On the almost sure spiraling of geodesics in negatively curved manifolds
Hersonsky, Sa’ar ; Paulin, Frédéric
J. Differential Geom., Tome 84 (2010) no. 1, p. 271-314 / Harvested from Project Euclid
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Given a negatively curved geodesic metric space $M$, we study the almost sure asymptotic penetration behavior of (locally) geodesic lines of $M$ into small neighborhoods of points, of closed geodesics, and of other compact (locally) convex subsets of $M$. We prove Khintchine-type and logarithm law-type results for the spiraling of geodesic lines around these objets. As a consequence in the tree setting, we obtain Diophantine approximation results of elements of non-archimedian local fields by quadratic irrational ones.
Publié le : 2010-06-15
Classification:  
@article{1287580966,
     author = {Hersonsky, Sa'ar and Paulin, Fr\'ed\'eric},
     title = {On the almost sure spiraling of geodesics in negatively curved manifolds},
     journal = {J. Differential Geom.},
     volume = {84},
     number = {1},
     year = {2010},
     pages = { 271-314},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1287580966}
}

Hersonsky, Sa’ar; Paulin, Frédéric. On the almost sure spiraling of geodesics in negatively curved manifolds. J. Differential Geom., Tome 84 (2010) no. 1, pp.  271-314. http://gdmltest.u-ga.fr/item/1287580966/