Ultrametric Logarithm Laws I.
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چکیده
We announce ultrametric analogues of the results of Kleinbock-Margulis for shrinking target properties of semisimple group actions on symmetric spaces. The main applications are S-arithmetic Diophantine approximation results and logarithm laws for buildings, generalizing the work of Hersonsky-Paulin on trees.
منابع مشابه
Self-normalized laws of the iterated logarithm
Stronger versions of laws of the iterated logarithm for self-normalized sums of i.i.d. random variables are proved.
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تاریخ انتشار 2008