On the structure of Fatou domains
Abstract Let U be a multiply-connected fixed attracting Fatou domain of a rational map f. We prove that there exist a rational map g and a completely invariant Fatou domain V of g such that (f,U) and (g,V) are holomorphically conjugate, and each non-trivial Julia component of g is a quasi-circle whi...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Cui, GuiZhen [verfasserIn] Peng, WenJuan [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2008 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Science in China - Asheville, NC : Science in China Press, 1995, 51(2008), 7 vom: 21. Juni |
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| Übergeordnetes Werk: |
volume:51 ; year:2008 ; number:7 ; day:21 ; month:06 |
| Links: |
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| DOI / URN: |
10.1007/s11425-008-0056-5 |
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| Katalog-ID: |
SPR01912578X |
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| 520 | |a Abstract Let U be a multiply-connected fixed attracting Fatou domain of a rational map f. We prove that there exist a rational map g and a completely invariant Fatou domain V of g such that (f,U) and (g,V) are holomorphically conjugate, and each non-trivial Julia component of g is a quasi-circle which bounds an eventually superattracting Fatou domain of g containing at most one postcritical point of g. Moreover, g is unique up to a holomorphic conjugation. | ||
| 650 | 4 | |a quasi-conformal surgery |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a puzzles |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a quasi-conformally conjugate |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a invariant line fields |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Peng, WenJuan |e verfasserin |4 aut | |
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2008 |
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30.00 31.00 |
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2008 |
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10.1007/s11425-008-0056-5 doi (DE-627)SPR01912578X (SPR)s11425-008-0056-5-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Cui, GuiZhen verfasserin aut On the structure of Fatou domains 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let U be a multiply-connected fixed attracting Fatou domain of a rational map f. We prove that there exist a rational map g and a completely invariant Fatou domain V of g such that (f,U) and (g,V) are holomorphically conjugate, and each non-trivial Julia component of g is a quasi-circle which bounds an eventually superattracting Fatou domain of g containing at most one postcritical point of g. Moreover, g is unique up to a holomorphic conjugation. quasi-conformal surgery (dpeaa)DE-He213 puzzles (dpeaa)DE-He213 quasi-conformally conjugate (dpeaa)DE-He213 invariant line fields (dpeaa)DE-He213 Peng, WenJuan verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 51(2008), 7 vom: 21. Juni (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:51 year:2008 number:7 day:21 month:06 https://dx.doi.org/10.1007/s11425-008-0056-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 30.00 ASE 31.00 ASE AR 51 2008 7 21 06 |
| spelling |
10.1007/s11425-008-0056-5 doi (DE-627)SPR01912578X (SPR)s11425-008-0056-5-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Cui, GuiZhen verfasserin aut On the structure of Fatou domains 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let U be a multiply-connected fixed attracting Fatou domain of a rational map f. We prove that there exist a rational map g and a completely invariant Fatou domain V of g such that (f,U) and (g,V) are holomorphically conjugate, and each non-trivial Julia component of g is a quasi-circle which bounds an eventually superattracting Fatou domain of g containing at most one postcritical point of g. Moreover, g is unique up to a holomorphic conjugation. quasi-conformal surgery (dpeaa)DE-He213 puzzles (dpeaa)DE-He213 quasi-conformally conjugate (dpeaa)DE-He213 invariant line fields (dpeaa)DE-He213 Peng, WenJuan verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 51(2008), 7 vom: 21. Juni (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:51 year:2008 number:7 day:21 month:06 https://dx.doi.org/10.1007/s11425-008-0056-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 30.00 ASE 31.00 ASE AR 51 2008 7 21 06 |
| allfields_unstemmed |
10.1007/s11425-008-0056-5 doi (DE-627)SPR01912578X (SPR)s11425-008-0056-5-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Cui, GuiZhen verfasserin aut On the structure of Fatou domains 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let U be a multiply-connected fixed attracting Fatou domain of a rational map f. We prove that there exist a rational map g and a completely invariant Fatou domain V of g such that (f,U) and (g,V) are holomorphically conjugate, and each non-trivial Julia component of g is a quasi-circle which bounds an eventually superattracting Fatou domain of g containing at most one postcritical point of g. Moreover, g is unique up to a holomorphic conjugation. quasi-conformal surgery (dpeaa)DE-He213 puzzles (dpeaa)DE-He213 quasi-conformally conjugate (dpeaa)DE-He213 invariant line fields (dpeaa)DE-He213 Peng, WenJuan verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 51(2008), 7 vom: 21. Juni (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:51 year:2008 number:7 day:21 month:06 https://dx.doi.org/10.1007/s11425-008-0056-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 30.00 ASE 31.00 ASE AR 51 2008 7 21 06 |
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10.1007/s11425-008-0056-5 doi (DE-627)SPR01912578X (SPR)s11425-008-0056-5-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Cui, GuiZhen verfasserin aut On the structure of Fatou domains 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let U be a multiply-connected fixed attracting Fatou domain of a rational map f. We prove that there exist a rational map g and a completely invariant Fatou domain V of g such that (f,U) and (g,V) are holomorphically conjugate, and each non-trivial Julia component of g is a quasi-circle which bounds an eventually superattracting Fatou domain of g containing at most one postcritical point of g. Moreover, g is unique up to a holomorphic conjugation. quasi-conformal surgery (dpeaa)DE-He213 puzzles (dpeaa)DE-He213 quasi-conformally conjugate (dpeaa)DE-He213 invariant line fields (dpeaa)DE-He213 Peng, WenJuan verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 51(2008), 7 vom: 21. Juni (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:51 year:2008 number:7 day:21 month:06 https://dx.doi.org/10.1007/s11425-008-0056-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 30.00 ASE 31.00 ASE AR 51 2008 7 21 06 |
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10.1007/s11425-008-0056-5 doi (DE-627)SPR01912578X (SPR)s11425-008-0056-5-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Cui, GuiZhen verfasserin aut On the structure of Fatou domains 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let U be a multiply-connected fixed attracting Fatou domain of a rational map f. We prove that there exist a rational map g and a completely invariant Fatou domain V of g such that (f,U) and (g,V) are holomorphically conjugate, and each non-trivial Julia component of g is a quasi-circle which bounds an eventually superattracting Fatou domain of g containing at most one postcritical point of g. Moreover, g is unique up to a holomorphic conjugation. quasi-conformal surgery (dpeaa)DE-He213 puzzles (dpeaa)DE-He213 quasi-conformally conjugate (dpeaa)DE-He213 invariant line fields (dpeaa)DE-He213 Peng, WenJuan verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 51(2008), 7 vom: 21. Juni (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:51 year:2008 number:7 day:21 month:06 https://dx.doi.org/10.1007/s11425-008-0056-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 30.00 ASE 31.00 ASE AR 51 2008 7 21 06 |
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English |
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Enthalten in Science in China 51(2008), 7 vom: 21. Juni volume:51 year:2008 number:7 day:21 month:06 |
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quasi-conformal surgery puzzles quasi-conformally conjugate invariant line fields |
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Science in China |
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Cui, GuiZhen @@aut@@ Peng, WenJuan @@aut@@ |
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2008-06-21T00:00:00Z |
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on the structure of fatou domains |
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On the structure of Fatou domains |
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Abstract Let U be a multiply-connected fixed attracting Fatou domain of a rational map f. We prove that there exist a rational map g and a completely invariant Fatou domain V of g such that (f,U) and (g,V) are holomorphically conjugate, and each non-trivial Julia component of g is a quasi-circle which bounds an eventually superattracting Fatou domain of g containing at most one postcritical point of g. Moreover, g is unique up to a holomorphic conjugation. |
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Abstract Let U be a multiply-connected fixed attracting Fatou domain of a rational map f. We prove that there exist a rational map g and a completely invariant Fatou domain V of g such that (f,U) and (g,V) are holomorphically conjugate, and each non-trivial Julia component of g is a quasi-circle which bounds an eventually superattracting Fatou domain of g containing at most one postcritical point of g. Moreover, g is unique up to a holomorphic conjugation. |
| abstract_unstemmed |
Abstract Let U be a multiply-connected fixed attracting Fatou domain of a rational map f. We prove that there exist a rational map g and a completely invariant Fatou domain V of g such that (f,U) and (g,V) are holomorphically conjugate, and each non-trivial Julia component of g is a quasi-circle which bounds an eventually superattracting Fatou domain of g containing at most one postcritical point of g. Moreover, g is unique up to a holomorphic conjugation. |
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We prove that there exist a rational map g and a completely invariant Fatou domain V of g such that (f,U) and (g,V) are holomorphically conjugate, and each non-trivial Julia component of g is a quasi-circle which bounds an eventually superattracting Fatou domain of g containing at most one postcritical point of g. 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