The Chordal Loewner Equation and Monotone Probability Theory
  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. 
Sebastian Schlei{\ss}inger
math.OA math.CV