We investigate an explicit holomorphic correspondence on the Riemann sphere with striking dynamical behaviour: the limit set is a fractal resembling the one-skeleton of a tetrahedron and on each component of the complement of this set the correspondence behaves like a Fuchsian group.
Nous étudions une correspondance holomorphe explicite sur la sphère de Riemann ayant une dynamique remarquable : l’ensemble limite est un fractal qui ressemble au 1-squelette du tétrahèdre et sur chaque composante du complémentaire de cet ensemble, la correspondance est donnée par un groupe Fuchsien.
@article{AFST_2012_6_21_S5_1119_0,
author = {Shaun Bullett and Andrew Curtis},
title = {A holomorphic correspondence at the boundary of the {Klein} combination locus},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {1119--1137},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 21},
number = {S5},
year = {2012},
doi = {10.5802/afst.1363},
mrnumber = {3088268},
zbl = {06167102},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1363/}
}
TY - JOUR AU - Shaun Bullett AU - Andrew Curtis TI - A holomorphic correspondence at the boundary of the Klein combination locus JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2012 SP - 1119 EP - 1137 VL - 21 IS - S5 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1363/ DO - 10.5802/afst.1363 LA - en ID - AFST_2012_6_21_S5_1119_0 ER -
%0 Journal Article %A Shaun Bullett %A Andrew Curtis %T A holomorphic correspondence at the boundary of the Klein combination locus %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2012 %P 1119-1137 %V 21 %N S5 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1363/ %R 10.5802/afst.1363 %G en %F AFST_2012_6_21_S5_1119_0
Shaun Bullett; Andrew Curtis. A holomorphic correspondence at the boundary of the Klein combination locus. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 21 (2012) no. S5, pp. 1119-1137. doi : 10.5802/afst.1363. https://afst.centre-mersenne.org/articles/10.5802/afst.1363/
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