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math.DS2008
Logarithm laws for unipotent flows, I
Jayadev S. Athreya, Grigorii Margulis
We prove analogues of the logarithm laws of Sullivan and Kleinbock-Margulis in the context of unipotent flows. In particular, we obtain results for one-parameter actions on the spa…
math.DS2008
Logarithm laws and shrinking target properties
Jayadev S. Athreya
We survey some of the recent developments in the study of logarithm laws and shrinking target properties for various families of dynamical systems. We discuss connections to geomet…