Holdings: Holomorphic dynamical systems

Holomorphic dynamical systems: lectures given at the C.I.M.E. summer school held in Cetraro, Italy, July 7 - 12, 2008

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Bibliographic Details
Other Authors:	Gentili, Graziano (Editor)
Format:	Conference Proceeding Book
Language:	English
Published:	Berlin [u.a.] Springer 2010
Series:	Lecture notes in mathematics 1998
Subjects:	Holomorphie Dynamisches System Konferenzschrift > 2008 > Cetraro
Online Access:	Inhaltstext Inhaltsverzeichnis
Item Description:	Literaturangaben
Physical Description:	XIII, 342 S. Ill., graph. Darst.
ISBN:	9783642131707

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MARC


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Record in the Search Index

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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
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dewey-hundreds	500 - Natural sciences and mathematics
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dewey-raw	515.39
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dewey-tens	510 - Mathematics
discipline	Mathematik
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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
url	http://deposit.dnb.de/cgi-bin/dokserv?id=3459078&prov=M&dok_var=1&dok_ext=htm 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
volume_link	(DE-604)BV000676446
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