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- Title
The chordal Loewner equation and monotone probability theory.
- Authors
Schleißinger, Sebastian
- 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.
- Subjects
EVOLUTION equations; MONOTONE operators; FREE probability theory; NONCOMMUTATIVE algebras; QUANTUM theory
- Publication
Infinite Dimensional Analysis, Quantum Probability & Related Topics, 2017, Vol 20, Issue 3, p-1
- ISSN
0219-0257
- Publication type
Article
- DOI
10.1142/S0219025717500163