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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 17, Fasc. 1,
pages 167 - 177
 

LAWS OF LARGE NUMBERS ON SIMPLY CONNECTED STEP 2-NILPOTENT LIE GROUPS

Daniel Neuenschwander

Abstract: The Strong Law of Large Numbers due to Marcinkiewicz and Zygmund is carried over to simply connected step 2-nilpotent Lie groups. Moreover, for such groups, we prove analogues of the classical theorems of Hsu-Robbins-Erdös, respectively Baum-Katz, giving information on the rate of convergence in Laws of Large Numbers.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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