Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics
The aims of this paper are to answer several conjectures and questions about the multiplier spectrum of rational maps and giving new proofs of several rigidity theorems in complex dynamics by combining tools from complex and non-Archimedean dynamics.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press
2023-01-01
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| Series: | Forum of Mathematics, Pi |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050508623000124/type/journal_article |
| _version_ | 1797831604442234880 |
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| author | Zhuchao Ji Junyi Xie |
| author_facet | Zhuchao Ji Junyi Xie |
| author_sort | Zhuchao Ji |
| collection | DOAJ |
| description | The aims of this paper are to answer several conjectures and questions about the multiplier spectrum of rational maps and giving new proofs of several rigidity theorems in complex dynamics by combining tools from complex and non-Archimedean dynamics. |
| first_indexed | 2024-04-09T13:54:21Z |
| format | Article |
| id | doaj.art-33927866b8ff49468efba5e7f4546e46 |
| institution | Directory Open Access Journal |
| issn | 2050-5086 |
| language | English |
| last_indexed | 2024-04-09T13:54:21Z |
| publishDate | 2023-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Pi |
| spelling | doaj.art-33927866b8ff49468efba5e7f4546e462023-05-08T09:39:13ZengCambridge University PressForum of Mathematics, Pi2050-50862023-01-011110.1017/fmp.2023.12Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamicsZhuchao Ji0https://orcid.org/0000-0002-3603-5278Junyi Xie1https://orcid.org/0000-0001-7386-8810Institute for Theoretical Sciences, Westlake University, Hangzhou 310030, China; E-mail:Beijing International Center for Mathematical Research, Peking University, Beijing 100871, China;The aims of this paper are to answer several conjectures and questions about the multiplier spectrum of rational maps and giving new proofs of several rigidity theorems in complex dynamics by combining tools from complex and non-Archimedean dynamics.https://www.cambridge.org/core/product/identifier/S2050508623000124/type/journal_article |
| spellingShingle | Zhuchao Ji Junyi Xie Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics Forum of Mathematics, Pi |
| title | Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics |
| title_full | Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics |
| title_fullStr | Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics |
| title_full_unstemmed | Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics |
| title_short | Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics |
| title_sort | homoclinic orbits multiplier spectrum and rigidity theorems in complex dynamics |
| url | https://www.cambridge.org/core/product/identifier/S2050508623000124/type/journal_article |
| work_keys_str_mv | AT zhuchaoji homoclinicorbitsmultiplierspectrumandrigiditytheoremsincomplexdynamics AT junyixie homoclinicorbitsmultiplierspectrumandrigiditytheoremsincomplexdynamics |