The chordal Loewner equation and monotone probability theory-Reference-Cited by-同舟云学术

The chordal Loewner equation and monotone probability theory

Published:2017-09 Issue:03 Volume:20 Page:1750016
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Schleißinger Sebastian¹

Affiliation:

1. Università di Roma “Tor Vergata”, 00133 Roma, Italy

Abstract

In Ref. 5, O. Bauer interpreted the chordal Loewner equation in terms of noncommutative probability theory. We follow this perspective and identify the chordal Loewner equations as the non-autonomous versions of evolution equations for semigroups in monotone and anti-monotone probability theory. We also look at the corresponding equation for free probability theory.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025717500163

Reference34 articles.

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3. Lecture Notes in Mathematics;Barndorff-Nielsen O. E.,2006

4. Löwner's Equation from a Noncommutative Probability Perspective

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