比利时vs摩洛哥足彩
,
university of california san diego
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food for thought
evangelos ``vaki'' nikitopoulos
ucsd
what is (free) independence?
abstract:
free probability is a subfield of mathematics at the intersection of operator algebras, complex analysis, probability, and combinatorics. it is used, among other things, to study the ``$n=\infty$'' case of various $n \times n$ random matrix models. a concept of central importance in free probability is \textit{free independence}, the ``noncommutative analogue'' of independence (of random variables) from classical probability. the goal of this talk is to develop a rigorous understanding of the throw-away clause in the previous sentence with an interesting mix of analysis and algebra. time permitting, we may also discuss why classical independence and free independence are in a precise sense the only ``reasonable'' notions on independence.
february 14, 2020
12:00 pm
ap&m 5402
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