Holomorphic dynamical systems: lectures given at the C.I.M.E. summer school held in Cetraro, Italy, July 7 - 12, 2008
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Tagungsbericht Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2010
|
| Schriftenreihe: | Lecture notes in mathematics
1998 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XIII, 342 S. Ill., graph. Darst. |
| ISBN: | 9783642131707 |
Internformat
MARC
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| 245 | 1 | 0 | |a Holomorphic dynamical systems |b lectures given at the C.I.M.E. summer school held in Cetraro, Italy, July 7 - 12, 2008 |c Marco Abate ... Ed.: Graziano Gentili ... |
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Datensatz im Suchindex
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| adam_text |
CONTENTS DISCRETE HOLOMORPHIC LOCAL DYNAMICAL SYSTEMS 1 MARCO ABATE 1
INTRODUCTION 1 2 ONE COMPLEX VARIABLE: THE HYPERBOLIC CASE 4 3 ONE
COMPLEX VARIABLE: THE PARABOLIC CASE 9 4 ONE COMPLEX VARIABLE: THE
ELLIPTIC CASE 20 5 SEVERAL COMPLEX VARIABLES: THE HYPERBOLIC CASE 32 6
SEVERAL COMPLEX VARIABLES: THE PARABOLIC CASE 38 7 SEVERAL COMPLEX
VARIABLES: OTHER CASES 49 REFERENCES 50 DYNAMICS OF RATIONAL SURFACE
AUTOMORPHISMS 57 ERIC BEDFORD 1 POLYNOMIAL AUTOMORPHISMS OF C 2 57 1.1
HENON MAPS 57 1.2 FILTRATION 59 1.3 FATOU COMPONENTS 62 1.4
HYPERBOLICITY 65 1.5 RATE OF ESCAPE 69 1.6 BOETTCHER COORDINATE 72 1.7
CURRENTS ON R N 76 1.8 CURRENTS ON C^ AND ESPECIALLY JU* 78 1.9
CONVERGENCE TO /!+ 82 2 RATIONAL SURFACES 83 2.1 BLOWING UP 83 2.2
COHOMOLOGY 86 2.3 INVARIANT CURRENTS AND MEASURES 88 2.4 THREE
INVOLUTIONS 90 2.5 LINEAR FRACTIONAL RECURRENCES 94 2.6 LINEAR
FRACTIONAL AUTOMORPHISMS 96 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/1001790286 DIGITALISIERT DURCH X CONTENTS 2.7 CREMONA
REPRESENTATION 98 2.8 MORE AUTOMORPHISMS 100 REFERENCES 1 03
UNIFORMISATION OF FOLIATIONS BY CURVES 105 MARCO BRUNELLA 1 FOLIATIONS
BY CURVES AND THEIR UNIFORMISATION 105 2 SOME RESULTS ON STEIN
FIBRATIONS 107 2.1 HYPERBOLIC FIBRATIONS 107 2.2 PARABOLIC FIBRATIONS
110 2.3 FOLIATIONS ON STEIN MANIFOLDS 112 3 THE UNPARAMETRIZED HARTOGS
EXTENSION LEMMA 115 4 HOLONOMY TUBES AND COVERING TUBES 120 4.1
VANISHING ENDS 120 4.2 HOLONOMY TUBES 124 4.3 COVERING TUBES 126 4.4
RATIONAL QUASI-FIBRATIONS 130 5 A CONVEXITY PROPERTY OF COVERING TUBES
131 5.1 BOUNDEDNESS OF AREAS 133 5.2 CONVERGENCE AROUND THE BOUNDARY 135
5.3 CONVERGENCE ON THE INTERIOR 137 5.4 CONSTRUCTION OF THE LIMIT
LEVI-FLAT HYPERSURFACE 139 6 HYPERBOLIC FOLIATIONS 140 7 EXTENSION OF
MEROMORPHIC MAPS FROM LINE BUNDLES 148 7.1 VOLUME ESTIMATES 148 7.2
EXTENSION OF MEROMORPHIC MAPS 151 8 PARABOLIC FOLIATIONS 154 8.1 GLOBAL
TUBES 154 8.2 PARABOLIC FOLIATIONS 156 8.3 FOLIATIONS BY RATIONAL CURVES
158 REFERENCES 1 62 DYNAMICS IN SEVERAL COMPLEX VARIABLES: ENDOMORPHISMS
OF PROJECTIVE SPACES AND POLYNOMIAL-LIKE MAPPINGS 165 TIEN-CUONG DINH
AND NESSIM SIBONY INTRODUCTIO CONTENTS XI 2 POLYNOMIAL-LIKE MAPS IN
HIGHER DIMENSION 234 2.1 EXAMPLES, DEGREES AND ENTROPY 235 2.2
CONSTRUCTION OF THE GREEN MEASURE 240 2.3 EQUIDISTRIBUTION PROBLEMS 246
2.4 PROPERTIES OF THE GREEN MEASURE 249 2.5 HOLOMORPHIC FAMILIES OF MAPS
257 NOTES 262 APPENDIX: CURRENTS AND PLURIPOTENTIAL THEORY 262 A. 1
PROJECTIVE SPACES AND ANALYTIC SETS 263 A.2 POSITIVE CURRENTS AND P.S.H.
FUNCTIONS 269 A.3 INTERSECTION, PULL-BACK AND SLICING 277 A.4 CURRENTS
ON PROJECTIVE SPACES 281 REFERENCES 289 DYNAMICS OF ENTIRE FUNCTIONS 295
DIERK SCHLEICHER 1 FATOU AND JULIA SET OF ENTIRE FUNCTIONS 298 2 THE
FATOU SET OF ENTIRE FUNCTIONS 307 3 ENTIRE FUNCTIONS OF FINITE TYPE AND
OF BOUNDED TYPE 312 4 THE ESCAPING SET 317 5 HAUSDORFF DIMENSION 322 6
PARAMETER SPACES 325 7 NEWTON MAPS OF ENTIRE FUNCTIONS 329 8 A FEW OPEN
QUESTIONS 332 A. BACKGROUND AND NOTATION 334 REFERENCES 335 |
| any_adam_object | 1 |
| author2 | Gentili, Graziano |
| author2_role | edt |
| author2_variant | g g gg |
| author_GND | (DE-588)142302554 |
| author_facet | Gentili, Graziano |
| building | Verbundindex |
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| classification_tum | MAT 344f MAT 326f |
| ctrlnum | (OCoLC)699586189 (DE-599)DNB1001790286 |
| dewey-full | 515.39 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.39 |
| dewey-search | 515.39 |
| dewey-sort | 3515.39 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Conference Proceeding Book |
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| spelling | Holomorphic dynamical systems lectures given at the C.I.M.E. summer school held in Cetraro, Italy, July 7 - 12, 2008 Marco Abate ... Ed.: Graziano Gentili ... Berlin [u.a.] Springer 2010 XIII, 342 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1998 Literaturangaben Holomorphie (DE-588)4160484-2 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2008 Cetraro gnd-content Dynamisches System (DE-588)4013396-5 s Holomorphie (DE-588)4160484-2 s DE-604 Abate, Marco Sonstige oth Gentili, Graziano (DE-588)142302554 edt Centro Internazionale Matematico Estivo Sonstige (DE-588)1025933-8 oth Session on Holomorphic Dynamical Systems 2008 Cetraro Sonstige (DE-588)16084519-1 oth Lecture notes in mathematics 1998 (DE-604)BV000676446 1998 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3459078&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020593409&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Holomorphic dynamical systems lectures given at the C.I.M.E. summer school held in Cetraro, Italy, July 7 - 12, 2008 Lecture notes in mathematics Holomorphie (DE-588)4160484-2 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4160484-2 (DE-588)4013396-5 (DE-588)1071861417 |
| title | Holomorphic dynamical systems lectures given at the C.I.M.E. summer school held in Cetraro, Italy, July 7 - 12, 2008 |
| title_auth | Holomorphic dynamical systems lectures given at the C.I.M.E. summer school held in Cetraro, Italy, July 7 - 12, 2008 |
| title_exact_search | Holomorphic dynamical systems lectures given at the C.I.M.E. summer school held in Cetraro, Italy, July 7 - 12, 2008 |
| title_full | Holomorphic dynamical systems lectures given at the C.I.M.E. summer school held in Cetraro, Italy, July 7 - 12, 2008 Marco Abate ... Ed.: Graziano Gentili ... |
| title_fullStr | Holomorphic dynamical systems lectures given at the C.I.M.E. summer school held in Cetraro, Italy, July 7 - 12, 2008 Marco Abate ... Ed.: Graziano Gentili ... |
| title_full_unstemmed | Holomorphic dynamical systems lectures given at the C.I.M.E. summer school held in Cetraro, Italy, July 7 - 12, 2008 Marco Abate ... Ed.: Graziano Gentili ... |
| title_short | Holomorphic dynamical systems |
| title_sort | holomorphic dynamical systems lectures given at the c i m e summer school held in cetraro italy july 7 12 2008 |
| title_sub | lectures given at the C.I.M.E. summer school held in Cetraro, Italy, July 7 - 12, 2008 |
| topic | Holomorphie (DE-588)4160484-2 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Holomorphie Dynamisches System Konferenzschrift 2008 Cetraro |
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