Dynamics done with your bare hands:
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| Main Authors: | , , , |
|---|---|
| Other Authors: | , , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Zürich
European Mathematical Society
[2016]
|
| Series: | EMS series of lectures in mathematics
|
| Subjects: | |
| Online Access: | DE-188 DE-91 DE-19 DE-355 DE-703 Volltext Inhaltsverzeichnis |
| Physical Description: | 1 Online-Ressource (X, 204 Seiten) Illustrationen, Diagramme |
| ISBN: | 9783037196687 |
| DOI: | 10.4171/168 |
Staff View
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Record in the Search Index
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Titel: Dynamics done with your bare hands
Autor: Davis, Diana
Jahr: 2016
Contents
1 Lines in positive genus. 1
Diana Davis
1 Billiards. 2
2 The square torus. 4
3 Cutting sequences. 7
4 Revisiting billiards on the square table. 10
5 Symmetries of the square torus. 13
6 Continued fractions. 17
7 Continued fractions and cutting sequences. 20
8 Every shear can be understood via basic shears . 24
9 Polygon identification surfaces. 28
10 Vertices and the Euler characteristic. 31
11 Cylinders. 36
12 Square-tiled surfaces. 40
13 Regular polygons and the modulus miracle. 43
14 Billiards on triangular tables. 47
15 Ward surfaces. 48
16 Bouw-Möller surfaces . 49
17 Teichmüller space. 51
Bibliography . 54
2 Introduction to complicated behavior and periodic orbits. 57
Bryce Weaver
1 Introduction. 57
2 Definitions and first examples. 59
3 Complicated systems and structures. 71
4 Counting periodic orbits . 82
5 Final remarks. 93
6 Appendix: Proof of mixing. 95
Bibliography . 99
3 Around the boundary of complex dynamics. 101
Roland K. W. Roeder
1 Warm up. 102
2 Mandelbrot set from the inside out. 120
3 Complex dynamics from the outside in. 133
4 Complex dynamics and astrophysics . 145
Bibliography . 153
Contents
4 Recurrence vs transience. 157
Pablo Lessa
1 Introduction. 158
2 The entry fee: A crash course in probability theory. 168
3 The flow theorem. 181
4 The classification of recurrent groups . 191
Bibliography . 198
Index.202 |
| any_adam_object | 1 |
| author | Davis, Diana 1985- Weaver, Bryce Roeder, Roland K. W. Lessa, Pablo |
| author2 | Dal'Bo, Françoise Ledrappier, François Wilkinson, Amie 1968- |
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| doi_str_mv | 10.4171/168 |
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| language | English |
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| publishDate | 2016 |
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| spelling | Dynamics done with your bare hands lecture notes by Diana Davis, Bryce Weaver, Roland K.W. Roeder, Pablo Lessa ; Françoise Dal'Bo, François Ledrappier, Amie Wilkinson, editors, University of Notre Dame, Center for Mathematics Summer School Zürich European Mathematical Society [2016] © 2016 1 Online-Ressource (X, 204 Seiten) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier EMS series of lectures in mathematics Riemannsche Geometrie (DE-588)4128462-8 gnd rswk-swf Riemannsche Geometrie (DE-588)4128462-8 s DE-604 Dal'Bo, Françoise (DE-588)1048494691 edt Ledrappier, François (DE-588)1130889769 edt Wilkinson, Amie 1968- (DE-588)1123244162 edt Davis, Diana 1985- (DE-588)1070804088 aut Weaver, Bryce aut Roeder, Roland K. W. aut Lessa, Pablo aut University of Notre Dame Center for Mathematics (DE-588)103166114X isb Erscheint auch als Druck-Ausgabe 978-3-03719-168-2 https://doi.org/10.4171/168 Verlag URL des Erstveröffentlichers Volltext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029400045&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Davis, Diana 1985- Weaver, Bryce Roeder, Roland K. W. Lessa, Pablo Dynamics done with your bare hands Riemannsche Geometrie (DE-588)4128462-8 gnd |
| subject_GND | (DE-588)4128462-8 |
| title | Dynamics done with your bare hands |
| title_auth | Dynamics done with your bare hands |
| title_exact_search | Dynamics done with your bare hands |
| title_full | Dynamics done with your bare hands lecture notes by Diana Davis, Bryce Weaver, Roland K.W. Roeder, Pablo Lessa ; Françoise Dal'Bo, François Ledrappier, Amie Wilkinson, editors, University of Notre Dame, Center for Mathematics Summer School |
| title_fullStr | Dynamics done with your bare hands lecture notes by Diana Davis, Bryce Weaver, Roland K.W. Roeder, Pablo Lessa ; Françoise Dal'Bo, François Ledrappier, Amie Wilkinson, editors, University of Notre Dame, Center for Mathematics Summer School |
| title_full_unstemmed | Dynamics done with your bare hands lecture notes by Diana Davis, Bryce Weaver, Roland K.W. Roeder, Pablo Lessa ; Françoise Dal'Bo, François Ledrappier, Amie Wilkinson, editors, University of Notre Dame, Center for Mathematics Summer School |
| title_short | Dynamics done with your bare hands |
| title_sort | dynamics done with your bare hands |
| topic | Riemannsche Geometrie (DE-588)4128462-8 gnd |
| topic_facet | Riemannsche Geometrie |
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