Loewner's equation in noncommutative probability

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dc.creatorBauer, Robert O.
dc.date2002-08-27
dc.date2002-08-29
dc.date.accessioned2026-07-07T04:50:25Z
dc.date.available2026-07-07T04:50:25Z
dc.descriptionUsing concepts of noncommutative probability we show that the Loewner's evolution equation can be viewed as providing a map from paths of measures to paths of probability measures. We show that the fixed point of the Loewner map is the convolution semigroup of the semicircle law in the chordal case, and its multiplicative analogue in the radial case. We further show that the Loewner evolution ``spreads out'' the distribution and that it gives rise to a Markov process.
dc.description26 pages, 2 figures, 2nd version
dc.identifierhttps://arxiv.org/abs/math/0208212
dc.identifierhttp://arxiv.org/abs/math/0208212
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64786
dc.subjectProbability
dc.subjectOperator Algebras
dc.subject60G20; 46L53
dc.titleLoewner's equation in noncommutative probability
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