back to author index
   
title:
 
Asymptotic behavior of discrete holomorphic maps zc and log(z)
publication:
 
JNMP
volume-issue:   12 - Supplement 2
pages:   1 - 14
ISSN:
  1402-9251
DOI:
  doi:10.2991/jnmp.2005.12.s2.1 (how to use a DOI)
author(s):
 
Sergey I AGAFONOV
publication date:
 
December 2005
abstract:
 
It is shown that discrete analogs of zc and log(z), defined via particular "integrable" circle patterns, have the same asymptotic behavior as their smooth counterparts. These discrete maps are described in terms of special solutions of discrete Painlevé-II equations, asymptotics of these solutions providing the behaviour of discrete zc and log(z) at infinity.
copyright:
 
© The authors.
This article is distributed under the terms of the Creative Commons Attribution License 4.0, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited. See for details: https://creativecommons.org/licenses/by-nc/4.0/
full text: