Statistical mechanics of complex networks:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2003
|
| Schriftenreihe: | Lecture notes in physics
625 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XII, 206 S. graph. Darst. |
| ISBN: | 3540403728 |
Internformat
MARC
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| 245 | 1 | 0 | |a Statistical mechanics of complex networks |c R. Pastor-Satorras ... (ed.) |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2003 | |
| 300 | |a XII, 206 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in physics |v 625 | |
| 490 | 0 | |a Physics and astronomy online library | |
| 500 | |a Literaturangaben | ||
| 650 | 4 | |a Statistical mechanics | |
| 650 | 0 | 7 | |a Komplexes System |0 (DE-588)4114261-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Netzwerk |0 (DE-588)4171529-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Statistische Physik |0 (DE-588)4057000-9 |2 gnd |9 rswk-swf |
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| 689 | 0 | |5 DE-604 | |
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Datensatz im Suchindex
| _version_ | 1826204794051624960 |
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| adam_text |
CONTENTS
INTRODUCTION
.
1
1
RATE
EQUATION
APPROACH
FOR
GROWING
NETWORKS
P.L.
KRAPIVSKY,
S.
REDNER
.
3
1.1
INTRODUCTION
.
3
1.2
STRUCTURE
OF
THE
GROWING
NETWORK
.
4
1.2.1
THE
DEGREE
DISTRIBUTION
.
4
1.2.2
ORDER
DISTRIBUTION
.
7
1.2.3
DEGREE
CORRELATIONS
.
8
1.2.4
GLOBAL
PROPERTIES
.
9
1.3
FINITENESS,
FLUCTUATIONS,
AND
EXTREMES
.
11
1.3.1
ROLE
OF
FINITENESS
.
11
1.3.2
EXTREMES
AND
LEAD
CHANGES
.
13
1.4
PROTEIN
NETWORKS
.
16
1.4.1
INFINITE-ORDER
PERCOLATION
TRANSITION
.
16
1.4.2
NON-UNIVERSAL
DEGREE
DISTRIBUTION
.
19
1.5
OUTLOOK
.
21
REFERENCES
.
21
2
DIRECTED
AND
NON-DIRECTED
SCALE-FREE
NETWORKS
REUVEN
COHEN,
ALEJANDRO
FABIAN
ROZENFELD,
NEHEMIA
SCHWARTZ,
DANIEL
BEN-AVRAHAM,
SHLOMO
HAVLIN
.
23
2.1
RANDOM
SCALE-FREE
NETWORKS
.
23
2.1.1
PERCOLATION
THRESHOLD
.
23
2.1.2
GENERATING
FUNCTIONS
.
27
2.1.3
CRITICAL
EXPONENTS
.
28
2.2
DIRECTED
GRAPHS
.
28
2.2.1
STRUCTURE
.
29
2.2.2
PERCOLATION
THRESHOLD
.
30
2.2.3
CRITICAL
EXPONENTS
.
33
2.2.4
SUMMARY
.
36
2.3
SPATIALLY
EMBEDDED
SCALE-FREE
GRAPHS
.
37
2.3.1
MODEL
DEFINITION
.
38
2.3.2
SUMMARY
.
43
REFERENCES
.
44
VIII
CONTENTS
3
HIERARCHICAL
ORGANIZATION
OF
MODULARITY
IN
COMPLEX
NETWORKS
ALBERT-LDSZLD
BARABDSI,
ERZSEBET
RAVASZ,
ZOLTDN
OLTVAI
.
46
3.1
INTRODUCTION
.
46
3.2
HIERARCHICAL
NETWORK
MODEL
.
49
3.3
HIERARCHICAL
ORGANIZATION
IN
NON-BIOLOGICAL
NETWORKS
.
52
3.4
HIERARCHY
IN
METABOLIC
NETWORKS
AND
THE
FUNCTIONAL
ORGANIZATION
OF
ESCHERICHIA
GOLI
.
55
3.5
STOCHASTIC
MODEL
AND
UNIVERSALITY
.
60
3.6
DISCUSSION
AND
OUTLOOK
.
62
REFERENCES
.
64
4
MIXING
PATTERNS
AND
COMMUNITY
STRUCTURE
IN
NETWORKS
M.E.J.
NEWMAN,
M.
GIRVAN
.
66
4.1
INTRODUCTION
.
66
4.2
COMMUNITY
STRUCTURE
.
67
4.2.1
EDGE
BETWEENNESS
AND
COMMUNITY
DETECTION
.
69
4.2.2
EXAMPLES
.
71
4.3
ORIGINS
OF
COMMUNITY
STRUCTURE
AND
ASSORTATIVE
MIXING
.
73
4.4
OTHER
TYPES
OF
ASSORTATIVE
MIXING
.
78
4.4.1
MIXING
BY
VERTEX
DEGREE
.
79
4.5
CONCLUSIONS
.
84
REFERENCES
.
85
5
EFFECT
OF
ACCELERATED
GROWTH
ON
NETWORKS
DYNAMICS
J.F.F.
MENDES
.
88
5.1
THE
MEANING
OF
ACCELERATION
IN
NETWORKS
.
88
5.2
DEGREE
DISTRIBUTIONS
.
91
5.2.1
WHAT
TYPES
OF
DEGREE
DISTRIBUTION
CAN
WE
HAVE?
.
91
5.2.2
THE
MOST
INTERESTING
CASE:
POWER-LAW
DEGREE
DISTRIBUTION
.
93
5.3
GENERAL
RELATIONS
FOR
THE
ACCELERATED
GROWTH
.
98
5.4
SCALING
RELATIONS
FOR
ACCELERATED
GROWTH
.
100
5.5
WHAT
ARE
THE
DEGREE
DISTRIBUTIONS
PRODUCED
BY
ACCELERATION?
.
101
5.5.1
MODEL
FOR
7
2
.
101
5.5.2
MODEL
FOR
7
2
.
102
5.6
ONE
PRACTICAL
EXAMPLE:
THE
WORD
WEB
.
105
5.7
CONCLUSIONS
.
109
REFERENCES
.
110
6
OPTIMIZATION
IN
COMPLEX
NETWORKS
RAMON
FERRER
I
CANCHO,
RICARD
V.
SOLE
.
114
6.1
INTRODUCTION
.
114
6.2
NETWORK
OPTIMIZATION
.
115
6.3
THE
OPTIMIZATION
ALGORITHM
.
116
6.4
OPTIMAL
DEGREE
DISTRIBUTIONS
.
119
6.5
DISCUSSION
.
122
REFERENCES
.
125
CONTENTS
IX
7
EPIDEMIC
SPREADING
IN
COMPLEX
NETWORKS
WITH
DEGREE
CORRELATIONS
MARIAN
BOGUND,
ROMUALDO
PASTOR-SATORRAS,
ALESSANDRO
VESPIGNANI
.
127
7.1
INTRODUCTION
.
127
7.2
CORRELATED
COMPLEX
NETWORKS
.
128
7.2.1
ASSORTATIVE
AND
DISASSORTATIVE
MIXING
.
129
7.2.2
DEGREE
DETAILED
BALANCE
CONDITION
.
130
7.3
THE
SIS
MODEL
.
133
7.3.1
UNCORRELATED
HOMOGENEOUS
NETWORKS
.
133
7.3.2
UNCORRELATED
COMPLEX
NETWORKS
.
134
7.3.3
CORRELATED
COMPLEX
NETWORKS
.
135
7.3.4
CORRELATED
SCALE-FREE
NETWORKS
.
136
7.4
THE
SIR
MODEL
.
138
7.4.1
UNCORRELATED
HOMOGENEOUS
NETWORKS
.
139
7.4.2
UNCORRELATED
COMPLEX
NETWORKS
.
140
7.4.3
CORRELATED
COMPLEX
NETWORKS
.
142
7.4.4
CORRELATED
SCALE-FREE
NETWORKS
.
144
7.5
CONCLUSIONS
.
144
REFERENCES
.
145
8
FOOD
WEB
STRUCTURE
AND
THE
EVOLUTION
OF
COMPLEX
NETWORKS
GUIDO
CALDARELLI,
DIEGO
GARLASCHELLI,
LUCIANO
PIETRONERO
.
148
8.1
INTRODUCTION
.
148
8.2
NETWORK
ANALYSIS
.
150
8.2.1
ECOLOGICAL
PROPERTIES
.
150
8.2.2
SMALL-WORLD
PROPERTIES
.
151
8.2.3
DEGREE
DISTRIBUTION
.
151
8.3
SPANNING
TREE
ANALYSIS
.
152
8.3.1
FOODWEBS
AS
TRANSPORTATION
NETWORKS
.
153
8.3.2
ALLOMETRIC
SCALING
RELATIONS
.
153
8.3.3
EFFICIENCY
OF
EMPIRICAL
FOOD
WEBS
.
154
8.3.4
STABILITY
UNDER
SPECIES
REMOVAL
.
156
8.4
THE
WEBWORLD
MODEL
.
157
8.4.1
COUPLING
BETWEEN
TOPOLOGY
AND
DYNAMICS
.
158
8.4.2
INITIAL
STATE
OF
THE
MODEL
.
158
8.4.3
EVOLUTION
OF
THE
MODEL
.
160
8.4.4
FURTHER
COMMENTS
ON
THE
MODEL
.
164
8.5
DISCUSSION
AND
CONCLUSION
.
165
REFERENCES
.
166
9
SOCIAL
NETWORKS:
FROM
SEXUAL
NETWORKS
TO
THREATENED
NETWORKS
H.
EUGENE
STANLEY,
SHLOMO
HAVLIN
.
167
9.1
INTRODUCTION
.
167
9.2
RECENT
ADVANCES
ON
SCALE-FREE
SOCIAL
NETWORKS
.
168
X
CONTENTS
9.3
RECENT
ADVANCES
ON
TRAFFIC
FLOW
IN
NETWORKS
.
169
9.4
CHARACTERISTIC
PROPERIES
OF
REAL
NETWORKS
.
169
9.4.1
CLASSIFICATION
OF
REAL
NETWORKS
.
169
9.4.2
PERCOLATION
.
170
9.4.3
STRUCTURAL
AND
TRANSPORT
PROPERTIES
OF
NETWORKS
.
170
9.4.4
OPTIMIZING
THE
STABILITY
OF
THREATENED
NETWORKS
.
170
9.4.5
IMMUNIZATION
OF
NETWORKS
.
171
9.5
POSSIBLE
CONTRIBUTIONS
OF
SOCIAL
NETWORK
RESEARCH
.
171
9.6
DISCUSSION
.
172
REFERENCES
.
172
10
SEARCH
AND
CONGESTION
IN
COMPLEX
NETWORKS
ALEX
ARENAS,
ANTONIO
CABRALES,
ALBERT
DIAZ-GUILERA,
ROGER
GUIMERD,
FERNANDO
VEGA-REDONDO
.
175
10.1
INTRODUCTION
.
175
10.2
SEARCH
IN
COMPLEX
NETWORKS
.
176
10.3
LOAD
AND
CONGESTION
IN
COMPLEX
NETWORKS
.
178
10.4
A
MODEL
OF
COMMUNICATION
.
179
10.4.1
DESCRIPTION
OF
THE
MODEL
.
179
10.4.2
CONGESTION
AND
NETWORK
CAPACITY
.
181
10.5
ANALYTICAL
RESULTS
FOR
HIERARCHICAL
LATTICES
.
182
10.6
OPTIMIZATION
IN
MODEL
NETWORKS
.
184
10.6.1
NETWORK
TOPOLOGY
.
185
10.6.2
COMMUNICATION
MODEL
AND
SEARCH
ALGORITHM
.
186
10.6.3
RESULTS
.
187
10.7
OPTIMIZATION
IN
A
GENERAL
FRAMEWORK
.
190
10.8
SUMMARY
.
193
REFERENCES
.
193
11
MEMBRANE
CLUSTERS
OF
ION
CHANNELS:
SIZE
EFFECTS
FOR
STOCHASTIC
RESONANCE
GERHARD
SCHMID,
IGOR
GOYCHUK,
PETER
HANGGI
.
195
11.1
INTRODUCTION
.
195
11.2
THE
HODGKIN-HUXLEY
MODEL
.
196
11.3
STOCHASTIC
VERSION
OF
THE
HODGKIN-HUXLEY
MODEL
.
199
11.3.1
QUANTIFYING
CHANNEL
NOISE
.
200
11.3.2
STOCHASTIC
RESONANCE
.
202
11.4
CONCLUSIONS
.
204
REFERENCES
.
205 |
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| genre | (DE-588)1071861417 Konferenzschrift 2002 Sitges gnd-content |
| genre_facet | Konferenzschrift 2002 Sitges |
| id | DE-604.BV020011146 |
| illustrated | Illustrated |
| indexdate | 2025-03-10T11:03:27Z |
| institution | BVB |
| isbn | 3540403728 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013332699 |
| oclc_num | 488864509 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-11 DE-384 |
| owner_facet | DE-355 DE-BY-UBR DE-11 DE-384 |
| physical | XII, 206 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in physics |
| series2 | Lecture notes in physics Physics and astronomy online library |
| spelling | Statistical mechanics of complex networks R. Pastor-Satorras ... (ed.) Berlin [u.a.] Springer 2003 XII, 206 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 625 Physics and astronomy online library Literaturangaben Statistical mechanics Komplexes System (DE-588)4114261-5 gnd rswk-swf Netzwerk (DE-588)4171529-9 gnd rswk-swf Statistische Physik (DE-588)4057000-9 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2002 Sitges gnd-content Statistische Physik (DE-588)4057000-9 s Netzwerk (DE-588)4171529-9 s Komplexes System (DE-588)4114261-5 s DE-604 Pastor-Satorras, Romualdo Sonstige oth Lecture notes in physics 625 (DE-604)BV000003166 625 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013332699&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Statistical mechanics of complex networks Lecture notes in physics Statistical mechanics Komplexes System (DE-588)4114261-5 gnd Netzwerk (DE-588)4171529-9 gnd Statistische Physik (DE-588)4057000-9 gnd |
| subject_GND | (DE-588)4114261-5 (DE-588)4171529-9 (DE-588)4057000-9 (DE-588)1071861417 |
| title | Statistical mechanics of complex networks |
| title_auth | Statistical mechanics of complex networks |
| title_exact_search | Statistical mechanics of complex networks |
| title_full | Statistical mechanics of complex networks R. Pastor-Satorras ... (ed.) |
| title_fullStr | Statistical mechanics of complex networks R. Pastor-Satorras ... (ed.) |
| title_full_unstemmed | Statistical mechanics of complex networks R. Pastor-Satorras ... (ed.) |
| title_short | Statistical mechanics of complex networks |
| title_sort | statistical mechanics of complex networks |
| topic | Statistical mechanics Komplexes System (DE-588)4114261-5 gnd Netzwerk (DE-588)4171529-9 gnd Statistische Physik (DE-588)4057000-9 gnd |
| topic_facet | Statistical mechanics Komplexes System Netzwerk Statistische Physik Konferenzschrift 2002 Sitges |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013332699&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
| work_keys_str_mv | AT pastorsatorrasromualdo statisticalmechanicsofcomplexnetworks |