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arXiv · 1605.06689

The Chordal Loewner Equation and Monotone Probability Theory

Sebastian Schleißinger
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Abstract

In [5], O. Bauer interpreted the chordal Loewner equation in terms of non-commutative 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.

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Sebastian Schleißinger. 2016-05-21. The Chordal Loewner Equation and Monotone Probability Theory. https://arxiv.org/abs/1605.06689

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