A class of these may be constructed in terms of N-parameter families of conformal maps to a domain with N slits, and the equation can be understood as the consistency condition between the Loewner equations describing the growth of each slit.
A class of these may be constructed in terms of N-parameter families of conformal maps to a domain with N slits. Each slit is taken along a fixed curve with a variable end point, and the equation can be understood as the consistency condition between the Loewner equations describing the growth of each slit.