The Chordal Loewner Equation and Monotone Probability Theory
The Chordal Loewner Equation and Monotone Probability Theory
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弦洛纳方程和单调概率论
DOI：
10.1142/s0219025717500163
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Sebastian Schleißinger
中科院分区：
文献类型：
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作者：
Sebastian Schleißinger
在[5]中，O.鲍尔用非对易概率论解释了弦Loewner方程。我们遵循这一观点，并确定弦Loewner方程的非自治版本的发展方程的半群在单调和反单调概率论。我们还研究了自由概率论的相应方程。
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.