Discrete Z^a and Painleve equations
classification
solv-int
math.CVnlin.SI
keywords
discretecirclepainlevesolutionsanaloguecombinatoricscorrespondingequation
read the original abstract
A discrete analogue of the holomorphic map z^a is studied. It is given by a Schramm's circle pattern with the combinatorics of the square grid. It is shown that the corresponding immersed circle patterns lead to special separatrix solutions of a discrete Painleve equation. Global properties of these solutions, as well as of the discrete $z^a$ are established.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.