Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
2015
|
| Series: | Memoirs of the American Mathematical Society
1102 = Vol. 234,2 |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027877920&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Item Description: | "Volume 234, number 1102 (second of 5 numbers), March 2015." |
| Physical Description: | V, 89 S. |
| ISBN: | 9781470409821 |
Staff View
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| 245 | 1 | 0 | |a Julia sets and complex singularities of free energies |c Jianyong Qiao |
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Record in the Search Index
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| adam_text | Contents
Introduction
Chapter
1.
Complex, dynamics and Potts models
5
1.1.
Iterations of a rational map
5
1.2.
Julia sets related to Potts models
б
Chapter
2.
Dynamical complexity of renormalization transformations
11
2.1.
Factorization of
renormalization
transformations
11
2.2.
Classification of dynamical systems
12
2.3.
Iteration of real maps
14
2.4.
Iteration of the real map Umn
16
2.5.
Complex singularities associated with
Feigenbaum
phenomenon
25
Chapter
3.
Connectivity of Julia sets
29
3.1.
J(Umnx) with variant parameters
29
3.2.
Connectivity numbers of periodic domains of UmnX
35
3.3.
The proof of Theorem
3.3 44
3.4.
Disconnected Julia set J(U2n )
45
Chapter
4.
Jordan domains and Fatou components
51
4.1.
Local connectedness of J(Umn )
51
4.2.
Jordan domains in F(UmnX)
58
4.3.
Jordan curve and J{Umnx)
65
Chapter
5.
Critical exponent of free energy
71
5.1.
Free energy on Fatou set
71
5.2.
Boundary behavior of free energy
76
5.3.
Thermo dynamical formalism
78
5.4.
Critical exponent
82
Acknowledgements
85
Bibliography
87
|
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| id | DE-604.BV042442654 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:11:22Z |
| institution | BVB |
| isbn | 9781470409821 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027877920 |
| oclc_num | 907048851 |
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| physical | V, 89 S. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spellingShingle | Qiao, Jianyong 1962- Julia sets and complex singularities of free energies Memoirs of the American Mathematical Society |
| title | Julia sets and complex singularities of free energies |
| title_auth | Julia sets and complex singularities of free energies |
| title_exact_search | Julia sets and complex singularities of free energies |
| title_full | Julia sets and complex singularities of free energies Jianyong Qiao |
| title_fullStr | Julia sets and complex singularities of free energies Jianyong Qiao |
| title_full_unstemmed | Julia sets and complex singularities of free energies Jianyong Qiao |
| title_short | Julia sets and complex singularities of free energies |
| title_sort | julia sets and complex singularities of free energies |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027877920&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT qiaojianyong juliasetsandcomplexsingularitiesoffreeenergies |