Dynamical processes on complex networks:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2008
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| Subjects: | |
| Online Access: | Contributor biographical information Publisher description Table of contents only Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke Includes bibliographical references (p. 313-343) and index |
| Physical Description: | xvii, 347 p. Ill. graf. Darst. 26 cm |
| ISBN: | 9780521879507 0521879507 |
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| 245 | 1 | 0 | |a Dynamical processes on complex networks |c Alain Barrat, Marc Barthélemy, Alessandro Vespignani |
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2008 | |
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Record in the Search Index
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| adam_text | DYNAMICAL PROCESSES ON COMPLEX NETWORKS ALAIN BARRAT LABORATOIRE DE
PHYSIQUE THEORIQUE, UNIVERSITE DE PARIS-SUD, FRANCE CENTRE NATIONAL DE
LA RECHERCHE SCIENTIFIQUE, FRANCE COMPLEX NETWORKS LAGRANGE LABORATORY,
ISI FOUNDATION, ITALY MARC BARTHELEMY COMMISSARIAT AE VENERGIE ATOMIQUE -
DEPARTEMENT DE PHYSIQUE THEORIQUE ET APPLIQUEE, FRANCE ALESSANDRO
VESPIGNANI SCHOOL OF INFORMATICS, DEPARTMENT OF PHYSICS AND
BIOCOMPLEXITY INSTITUTE, INDIANA UNIVERSITY, USA COMPLEX NETWORKS
LAGRANGE LABORATORY, ISI FOUNDATION, ITALY CENTRE NATIONAL DE LA
RECHERCHE SCIENTIFIQUE, FRANCE CAMBRIDGE UNIVERSITY PRESS CONTENTS
PREFACE ACKNOWLEDGEMENTS LIST OF ABBREVIATIONS 1 PRELIMINARIES: NETWORKS
AND GRAPHS 1.1 WHAT IS A NETWORK? 1.2 BASIC CONCEPTS IN GRAPH THEORY 1.3
STATISTICAL CHARACTERIZATION OF NETWORKS 1.4 WEIGHTED NETWORKS 2
NETWORKS AND COMPLEXITY 2.1 REAL-WORLD SYSTEMS 2.2 NETWORK CLASSES 2.3
THE COMPLICATED AND THE COMPLEX 3 NETWORK MODELS 3.1 RANDOMNESS AND
NETWORK MODELS 3.2 EXPONENTIAL RANDOM GRAPHS 3.3 EVOLVING NETWORKS AND
THE NON-EQUILIBRIUM APPROACH 3.4 MODELING HIGHER ORDER STATISTICS AND
OTHER ATTRIBUTES 3.5 MODELING FRAMEWORKS AND MODEL VALIDATION 4
INTRODUCTION TO DYNAMICAL PROCESSES: THEORY AND SIMULATION 4.1 A
MICROSCOPIC APPROACH TO DYNAMICAL PHENOMENA 4.2 EQUILIBRIUM AND
NON-EQUILIBRIUM SYSTEMS 4.3 APPROXIMATE SOLUTIONS OF THE MASTER EQUATION
4.4 AGENT-BASED MODELING AND NUMERICAL SIMULATIONS 5 PHASE TRANSITIONS
ON COMPLEX NETWORKS 5.1 PHASE TRANSITIONS AND THE ISING MODEL 5.2
EQUILIBRIUM STATISTICAL PHYSICS OF CRITICAL PHENOMENA 5.3 THE ISING
MODEL IN COMPLEX NETWORKS PAGE XI XV XVII 1 1 2 11 19 24 24 34 47 50 50
58 60 72 74 77 77 79 82 85 92 92 96 101 VII VLLL CONTENTS 5.4 DYNAMICS
OF ORDERING PROCESSES 108 5.5 PHENOMENOLOGICAL THEORY OF PHASE
TRANSITIONS 111 6 RESILIENCE AND ROBUSTNESS OF NETWORKS 116 6.1 DAMAGING
NETWORKS 116 6.2 PERCOLATION PHENOMENA AS CRITICAL PHASE TRANSITIONS 120
6.3 PERCOLATION IN COMPLEX NETWORKS 124 6.4 DAMAGE AND RESILIENCE IN
NETWORKS 126 6.5 TARGETED ATTACKS ON LARGE DEGREE NODES 129 6.6 DAMAGE
IN REAL-WORLD NETWORKS 135 7 SYNCHRONIZATION PHENOMENA IN NETWORKS 136
7.1 GENERAL FRAMEWORK 136 7.2 LINEARLY COUPLED IDENTICAL OSCILLATORS 138
7.3 NON-LINEAR COUPLING: FIRING AND PULSE 148 7.4 NON-IDENTICAL
OSCILLATORS: THE KURAMOTO MODEL 151 7.5 SYNCHRONIZATION PATHS IN COMPLEX
NETWORKS 156 7.6 SYNCHRONIZATION PHENOMENA AS A TOPOLOGY PROBING TOOL
158 8 WALKING AND SEARCHING ON NETWORKS 160 8.1 DIFFUSION PROCESSES AND
RANDOM WALKS 160 8.2 DIFFUSION IN DIRECTED NETWORKS AND RANKING
ALGORITHMS 166 8.3 SEARCHING STRATEGIES IN COMPLEX NETWORKS 170 9
EPIDEMIC SPREADING IN POPULATION NETWORKS 180 9.1 EPIDEMIC MODELS 180
9.2 EPIDEMICS IN HETEROGENEOUS NETWORKS 189 9.3 THE LARGE TIME LIMIT OF
EPIDEMIC OUTBREAKS 197 9.4 IMMUNIZATION OF HETEROGENEOUS NETWORKS 207
9.5 COMPLEX NETWORKS AND EPIDEMIC FORECAST 212 10 SOCIAL NETWORKS AND
COLLECTIVE BEHAVIOR 216 10.1 SOCIAL INFLUENCE 216 10.2 RUMOR AND
INFORMATION SPREADING 218 10.3 OPINION FORMATION AND THE VOTER MODEL 225
10.4 THE AXELROD MODEL 232 10.5 PRISONER S DILEMMA 235 10.6 COEVOLUTION
OF OPINIONS AND NETWORK 238 11 TRAFFIC ON COMPLEX NETWORKS 242 11.1
TRAFFIC AND CONGESTION 242 11.2 TRAFFIC AND CONGESTION IN DISTRIBUTED
ROUTING 246 11.3 AVALANCHES 256 11.4 STYLIZED MODELS AND REAL-WORLD
INFRASTRUCTURES 264 12 NETWORKS IN BIOLOGY: FROM THE CELL TO ECOSYSTEMS
267 12.1 CELL BIOLOGY AND NETWORKS 268 CONTENTS IX 12.2 FLUX-BALANCE
APPROACHES AND THE METABOLIC ACTIVITY 271 12.3 BOOLEAN NETWORKS AND GENE
REGULATION 274 12.4 THE BRAIN AS A NETWORK 279 12.5 ECOSYSTEMS AND FOOD
WEBS 282 12.6 FUTURE DIRECTIONS 293 13 POSTFACE: CRITICALLY EXAMINING
COMPLEX NETWORKS SCIENCE 294 APPENDIX 1 RANDOM GRAPHS 298 APPENDIX 2
GENERATING FUNCTIONS FORMALISM 303 APPENDIX 3 PERCOLATION IN DIRECTED
NETWORKS 306 APPENDIX 4 LAPLACIAN MATRIX OF A GRAPH 310 APPENDIX 5
RETURN PROBABILITY AND SPECTRAL DENSITY 311 REFERENCES 313 INDEX ***
|
| any_adam_object | 1 |
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| spelling | Barrat, Alain 1971- Verfasser (DE-588)135621313 aut Dynamical processes on complex networks Alain Barrat, Marc Barthélemy, Alessandro Vespignani Cambridge [u.a.] Cambridge Univ. Press 2008 xvii, 347 p. Ill. graf. Darst. 26 cm txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Includes bibliographical references (p. 313-343) and index System analysis Graph theory Network theory Komplexes System (DE-588)4114261-5 gnd rswk-swf Graphentheorie (DE-588)4113782-6 gnd rswk-swf Systemtheorie (DE-588)4058812-9 gnd rswk-swf Systemtheorie (DE-588)4058812-9 s Graphentheorie (DE-588)4113782-6 s Komplexes System (DE-588)4114261-5 s 1\p DE-604 Barthélémy, Marc Sonstige oth Vespignani, Alessandro Sonstige oth http://www.loc.gov/catdir/enhancements/fy0835/2008025427-b.html Contributor biographical information http://www.loc.gov/catdir/enhancements/fy0835/2008025427-d.html Publisher description http://www.loc.gov/catdir/enhancements/fy0835/2008025427-t.html Table of contents only GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018805859&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Barrat, Alain 1971- Dynamical processes on complex networks System analysis Graph theory Network theory Komplexes System (DE-588)4114261-5 gnd Graphentheorie (DE-588)4113782-6 gnd Systemtheorie (DE-588)4058812-9 gnd |
| subject_GND | (DE-588)4114261-5 (DE-588)4113782-6 (DE-588)4058812-9 |
| title | Dynamical processes on complex networks |
| title_auth | Dynamical processes on complex networks |
| title_exact_search | Dynamical processes on complex networks |
| title_full | Dynamical processes on complex networks Alain Barrat, Marc Barthélemy, Alessandro Vespignani |
| title_fullStr | Dynamical processes on complex networks Alain Barrat, Marc Barthélemy, Alessandro Vespignani |
| title_full_unstemmed | Dynamical processes on complex networks Alain Barrat, Marc Barthélemy, Alessandro Vespignani |
| title_short | Dynamical processes on complex networks |
| title_sort | dynamical processes on complex networks |
| topic | System analysis Graph theory Network theory Komplexes System (DE-588)4114261-5 gnd Graphentheorie (DE-588)4113782-6 gnd Systemtheorie (DE-588)4058812-9 gnd |
| topic_facet | System analysis Graph theory Network theory Komplexes System Graphentheorie Systemtheorie |
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