Geodesic
Circle packings, kissing reflection groups and critically fixed anti-rational maps
Forum of Mathematics, Sigma, Tome 10 (2022)

Voir la notice de l'article provenant de la source Cambridge University Press

In this article, we establish an explicit correspondence between kissing reflection groups and critically fixed anti-rational maps. The correspondence, which is expressed using simple planar graphs, has several dynamical consequences. As an application of this correspondence, we give complete answers to geometric mating problems for critically fixed anti-rational maps. 
@article{10_1017_fms_2021_81,
     author = {Russell Lodge and Yusheng Luo and Sabyasachi Mukherjee},
     title = {Circle packings, kissing reflection groups and critically fixed anti-rational maps},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {10},
     year = {2022},
     doi = {10.1017/fms.2021.81},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2021.81/}
}
TY  - JOUR
AU  - Russell Lodge
AU  - Yusheng Luo
AU  - Sabyasachi Mukherjee
TI  - Circle packings, kissing reflection groups and critically fixed anti-rational maps
JO  - Forum of Mathematics, Sigma
PY  - 2022
VL  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1017/fms.2021.81/
DO  - 10.1017/fms.2021.81
LA  - en
ID  - 10_1017_fms_2021_81
ER  - 
%0 Journal Article
%A Russell Lodge
%A Yusheng Luo
%A Sabyasachi Mukherjee
%T Circle packings, kissing reflection groups and critically fixed anti-rational maps
%J Forum of Mathematics, Sigma
%D 2022
%V 10
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1017/fms.2021.81/
%R 10.1017/fms.2021.81
%G en
%F 10_1017_fms_2021_81
Russell Lodge; Yusheng Luo; Sabyasachi Mukherjee. Circle packings, kissing reflection groups and critically fixed anti-rational maps. Forum of Mathematics, Sigma, Tome 10 (2022). doi: 10.1017/fms.2021.81

Cité par Sources :