In parameter slices of quadratic rational functions, we identify arcs represented by matings of quadratic polynomials. These arcs are on the boundaries of hyperbolic components.
Dans des tranches de l’espace des paramètres de fractions rationnelles de degré 2, nous identifions des arcs représentés par des accouplements de polynômes quadratiques. Ces arcs sont contenus dans le bord des composantes hyperboliques.
@article{AFST_2012_6_21_S5_877_0,
author = {Inna Mashanova and Vladlen Timorin},
title = {Captures, matings and regluings},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {877--906},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 21},
number = {S5},
year = {2012},
doi = {10.5802/afst.1356},
mrnumber = {3088261},
zbl = {06167095},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1356/}
}
TY - JOUR AU - Inna Mashanova AU - Vladlen Timorin TI - Captures, matings and regluings JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2012 SP - 877 EP - 906 VL - 21 IS - S5 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1356/ DO - 10.5802/afst.1356 LA - en ID - AFST_2012_6_21_S5_877_0 ER -
%0 Journal Article %A Inna Mashanova %A Vladlen Timorin %T Captures, matings and regluings %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2012 %P 877-906 %V 21 %N S5 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1356/ %R 10.5802/afst.1356 %G en %F AFST_2012_6_21_S5_877_0
Inna Mashanova; Vladlen Timorin. Captures, matings and regluings. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 21 (2012) no. S5, pp. 877-906. doi : 10.5802/afst.1356. https://afst.centre-mersenne.org/articles/10.5802/afst.1356/
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