Limit theorems for rank-one Lie groups
classification
🧮 math.DS
keywords
asymptoticaveraginggroupslimitoperatorsrank-oneactionsalmost
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We investigate asymptotic behaviour of averaging operators for actions of simple rank-one Lie groups. It was previously known that these averaging operators converge almost everywhere, and we establish a more precise asymptotic formula that describes their deviations from the limit.
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