Geodesic
The Limiting Behavior of Sequences of Quasiconformal Mappings
Canadian mathematical bulletin, Tome 33 (1990) no. 4, pp. 494-502

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The limiting behavior of sequences of quasiconformal homeomorphisms of the n-sphere Sn is studied using a substitute to the Poincaré extension of Möbius transformations introduced by Tukia. Adapted versions of the limit set and the conical limit set known in the theory of Kleinian groups are utilized. Most of the results also hold for families of homeomorphisms of Sn with the convergence property introduced by Gehring and Martin.
DOI : 10.4153/CMB-1990-079-0
Mots-clés : Primary 30C60, 40A99, 30F40 
Aebischer, Beat. The Limiting Behavior of Sequences of Quasiconformal Mappings. Canadian mathematical bulletin, Tome 33 (1990) no. 4, pp. 494-502. doi: 10.4153/CMB-1990-079-0
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     title = {The {Limiting} {Behavior} of {Sequences} of {Quasiconformal} {Mappings}},
     journal = {Canadian mathematical bulletin},
     pages = {494--502},
     year = {1990},
     volume = {33},
     number = {4},
     doi = {10.4153/CMB-1990-079-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-079-0/}
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