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