BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//University of California\, Berkeley//UCB Events Calendar//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:America/Los_Angeles
BEGIN:STANDARD
TZOFFSETFROM:-0700
TZOFFSETTO:-0800
DTSTART:19701029T020000
RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU
END:STANDARD
BEGIN:DAYLIGHT
DTSTART:19700402T020000
TZOFFSETFROM:-0800
TZOFFSETTO:-0700
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
END:DAYLIGHT
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20180913T075259Z
DTSTART;TZID=America/Los_Angeles:20181002T154500
DTEND;TZID=America/Los_Angeles:20181002T174500
TRANSP:OPAQUE
SUMMARY:Probabilistic Operator Algebra Seminar: An introduction to monotonic independence
UID:119984-ucb-events-calendar@berkeley.edu
ORGANIZER;CN="UC Berkeley Calendar Network":
LOCATION:748 Evans Hall
DESCRIPTION:Ian Charlesworth\, NSF Postdoctoral Fellow UC Berkeley\n\nOne may think of an "independence relation" as a prescription for building joint distributions of (non-commutative) random variables\, satisfying some nice universality properties. Work of Muraki and of Ben Ghorbal and Schurmann has shown that there are very few such universal independences\; even with the fewest required "nice properties"\, there are no more than five. In this talk I will give an introduction to monotonic independence of random variables which fits in only the broadest category as it is not symmetric: $X$ being monotonically independent from $Y$ is \\emph {not} equivalent to $Y$ being monotonically independent from $X$. Our goal will be to investigate the behaviour of additive monotonic convolution: given probability measures µ and ν\, and random variables $X \\sim \\mu $ and $Y \\sim \\nu $ in some algebra where $X$ is monotonically indepenedent from $Y$\, what is the distribution of $X+Y$? I will cover the analytic techniques necessary to answer this question\, and in the time remaining\, begin an investigation into monotone infinite divisibility and semigroups of convolution. This talk will draw material variously from papers of Muraki\, of Bercovici and of Hasebe.
URL:http://events.berkeley.edu/index.php/calendar/sn/pubaff.html?event_ID=119984&view=preview
SEQUENCE:0
CLASS:PUBLIC
CREATED:20180913T075259Z
LAST-MODIFIED:20180913T075259Z
X-MICROSOFT-CDO-BUSYSTATUS:BUSY
X-MICROSOFT-CDO-INSTTYPE:0
X-MICROSOFT-CDO-IMPORTANCE:1
X-MICROSOFT-CDO-OWNERAPPTID:-1
END:VEVENT
END:VCALENDAR