A law of large numbers for the free multiplicative convolution

Activity: Talks and presentationsTalks and presentations in private or public companies


In classic probability the multiplicative law of large numbers follows from the additive as a corollary.
This is not the case in free probability, so although an additive law has been found in [Lindsay-Pata, 1997]
the multiplicative law was only found recently in [Tucci, 2010] for measures on the positive real line
with compact support.
In the talk I will present a new proof, which is joint work with Uffe Haagerup, for the multiplicative law.
Here we remove the assumption of compact support, using methods very different from Tucci's approach.
Period25. Jan 2012
Event titleOberseminar zur Freien Wahrscheinlichkeit
Event typeConference
LocationSaarbrücken, Germany