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DTSTAMP:20180919T173158Z
DTSTART;TZID=America/Los_Angeles:20181023T154500
DTEND;TZID=America/Los_Angeles:20181023T174500
TRANSP:OPAQUE
SUMMARY:Probabilistic Operator Algebra Seminar: On convolutions and transforms in operator valued free probability
UID:120169-ucb-events-calendar@berkeley.edu
ORGANIZER;CN="UC Berkeley Calendar Network":
LOCATION:748 Evans Hall
DESCRIPTION:Weihua Liu\, Indiana University\n\nIn this talk\, I will introduce a class of independence relations which include free\, Boolean and monotone independence in operator valued probability. I will briefly review some analytic properties of operator-valued free\, Boolean and monotone convolutions. After that\, I will show some analytic properties of two other important convolutions which are called orthogonal convolution and s-free convolution ( or say subordination convolution). We will see that most convolutions in our framework can be constructed from the orthogonal and the Boolean convolution whereas the s-free convolution is a powerful tool for studying the free additive convolution. Then I will show how to use matricial functions which are derived from Voiculescu's fully matricial function theory\, to study relations between convolutions and transforms in operator-valued free probability. If time permits\, I will simply explain how to compute large N laws of random matrices with entries of our new independent relations\, and we will see that the large N laws are not always semicircular.
URL:http://events.berkeley.edu/index.php/calendar/sn/pubaff.html?event_ID=120169&view=preview
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