Complex webs: anticipating the improbable
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
2011
|
| Ausgabe: | 1. publ. |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020722447&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | X, 375 S. graph. Darst. |
| ISBN: | 9780521113663 |
Internformat
MARC
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| 245 | 1 | 0 | |a Complex webs |b anticipating the improbable |c Bruce J. West ; Paolo Grigolini |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge |b Cambridge Univ. Press |c 2011 | |
| 300 | |a X, 375 S. |b graph. Darst. | ||
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| 856 | 4 | 2 | |m Digitalisierung UB Bamberg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020722447&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Datensatz im Suchindex
| _version_ | 1819296810796056576 |
|---|---|
| adam_text | Contents
Preface
page
ix
1
Webs
1
1.1
The myth of normalcy
1
1.1.1
Knowledge, information and uncertainty
8
1.1.2
Maximum entropy
14
1.2
Empirical laws
21
1.3
Why people forecasts are usually wrong
34
1.3.1
Power laws, prediction and failure
38
1.4
Recap
41
1.5
Problems
42
References
43
2
Webs, trees and branches
45
2.1
Natural trees and scaling
50
2.1.1
Two kinds of scaling
52
2.1.2
Physiologic trees
59
2.2
Physiology in fractal dimensions
65
2.2.1
Fractals
66
2.2.2
Temporal scaling
74
2.2.3
Autocorrelation functions and fractal dimensions
77
2.3
Measuring what we cannot know exactly
79
2.3.1
Inverse power laws of Zipf and Pareto
80
2.3.2
Chaos, noise and probability
85
2.4
Scaling physiologic time series
88
2.4.1
Fractal heartbeats
89
2.4.2
Fractal breaths
92
2.4.3
Fractal steps
94
2.5
Some afterthoughts
98
2.6
Problems
99
References
100
Contents
3
Mostly linear dynamics
105
3.1
Hamilton s equations
107
3.2
Linear stochastic equations
114
3.2.1
Classical diffusion
118
3.2.2
Linear response theory (LRT)
124
3.2.3
Double-well potential and stochastic resonance
127
3.3
More on classical diffusion
130
3.3.1
The Fokker-Planck equation (FPE)
1
3 З
3.3.2
The drift-diffusion model (DDM) of decision making
137
3.3.3
First-passage-time distributions
142
3.4
More on statistics
144
3.4.1
Poisson
statistics
145
3.4.2
Statistics with memory
147
3.4.3
Inverse power-law correlations
148
3.5
Moving from Hamiltonians to events
153
3.5.1
Age-specific failure rates
153
3.5.2
Possible forms of failure rates
155
3.5.3
Various
Poisson
processes
158
3.6
Overview
161
3.7
Problems
162
References
163
4
Random walks and chaos
166
4.1
Random walks
168
4.1.1
Simple random walks
169
4.1.2
Poisson
webs
174
4.2
Fractal random walks
177
4.2.1
The
Weierstrass
walk
178
4.2.2
Levy random flights
180
4.2.3
Fractional operator walk
183
4.3
Maps, chaos and strange attractors
188
4.3.1
The logistic equation
190
4.3.2
Strange attractors
198
4.4
Integrable
and non-integrable Hamiltonians
202
4.4.1
The surface of section
205
4.4.2
Chaos and linear response theory
208
4.5
Precis
219
4.6
Problems
220
References
221
5
Non-analytic dynamics
224
5.1
Transition to fractional dynamics
225
Contents
5.1.1
Fractional calculus
228
5.1.2
Deterministic fractional dynamics
231
5.2
Some applications
234
5.2.1
The fractional
Poisson
distribution
234
5.2.2
The Weibull distribution
236
5.3
Fractional stochastic equations
237
5.3.1
The fractional
Langevin
equation
237
5.3.2
Multiplicative random force
239
5.3.3
Some physiologic multifractals
242
5.4
Spatial heterogeneity
247
5.4.1
Random fields
247
5.4.2
Continuous-time random walks (CTRWs)
250
5.4.3
Infinite moments
254
5.4.4
Scaling solutions
257
5.5
Reiteration
258
5.6
Problems
259
References
259
A brief recent history of webs
262
6.1
Web growth
264
6.1.1
Scale-free webs
265
6.1.2
Communication webs
268
6.2
Graphic properties of webs
275
6.2.1
Random webs
277
6.2.2
Real webs
286
6.2.3
Web failures
294
6.3
Deterministic web models
297
6.3.1
Hierarchal webs
297
6.3.2
From small to ultra-small networks
301
6.4
Reflections
303
6.5
Problems
304
References
305
Dynamics of chance
307
7.1
The master equation
308
7.1.1
Discrete dynamics
309
7.1.2
A synchronized web of two-level nodes
310
7.1.3
Stochastic approximation to a synchronized web
314
7.1.4
The Yule process
317
7.2
General modeling strategy
319
7.2.1
From crucial events to the GME
319
7.2.2
Relaxation of the two-level GME
322
7.2.3
Perturbing the GME
323
Contents
7.2.4
Towards a new LRT
326
7.2.5
Stochastic resonance and conventional LRT
327
7.3
The Universality of LRT
3 31
7.3.1
The Hamiltonian approach to LRT
332
7.3.2
Applying the formalism
334
7.3.3
The experimental approach
336
7.3.4
Theoretical interpretation
340
7.4
The statistical habituation model (SHM)
344
7.4.1
Simple stimulus and renewal theory
346
7.4.2
Information resonance and dishabituation
348
7.4.3
Discussion
349
7.5
Summary
351
7.6
Problems
352
References
353
Synopsis
357
References
363
Index
365
|
| any_adam_object | 1 |
| author | West, Bruce J. 1941- |
| author_GND | (DE-588)109798511 (DE-588)14016555X |
| author_facet | West, Bruce J. 1941- |
| author_role | aut |
| author_sort | West, Bruce J. 1941- |
| author_variant | b j w bj bjw |
| building | Verbundindex |
| bvnumber | BV036806372 |
| classification_rvk | SK 890 |
| ctrlnum | (OCoLC)706018007 (DE-599)BVBBV036806372 |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV036806372 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T14:42:31Z |
| institution | BVB |
| isbn | 9780521113663 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020722447 |
| oclc_num | 706018007 |
| open_access_boolean | |
| owner | DE-473 DE-BY-UBG DE-83 |
| owner_facet | DE-473 DE-BY-UBG DE-83 |
| physical | X, 375 S. graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spellingShingle | West, Bruce J. 1941- Complex webs anticipating the improbable System analysis Systemanalyse (DE-588)4116673-5 gnd Netzwerk (DE-588)4171529-9 gnd Komplexität (DE-588)4135369-9 gnd |
| subject_GND | (DE-588)4116673-5 (DE-588)4171529-9 (DE-588)4135369-9 |
| title | Complex webs anticipating the improbable |
| title_auth | Complex webs anticipating the improbable |
| title_exact_search | Complex webs anticipating the improbable |
| title_full | Complex webs anticipating the improbable Bruce J. West ; Paolo Grigolini |
| title_fullStr | Complex webs anticipating the improbable Bruce J. West ; Paolo Grigolini |
| title_full_unstemmed | Complex webs anticipating the improbable Bruce J. West ; Paolo Grigolini |
| title_short | Complex webs |
| title_sort | complex webs anticipating the improbable |
| title_sub | anticipating the improbable |
| topic | System analysis Systemanalyse (DE-588)4116673-5 gnd Netzwerk (DE-588)4171529-9 gnd Komplexität (DE-588)4135369-9 gnd |
| topic_facet | System analysis Systemanalyse Netzwerk Komplexität |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020722447&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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