Resumen de A shrinking-target problem in the space of unimodular lattices in the three dimensional Euclidean space
In this paper, we study the shrinking-target problem with target at infinity induced by the injectivity radius function under the action of a regular diagonalizable flow on SL3(R)/ SL3(Z). In particular, we establish an explicit formula for the Hausdorff dimension of the subset of points p whose orbit approaches the cusp infinitely often with a rate γ ≥ 0.
