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Complexity science : the study of emergence
Jensen, Henrik Jeldtoft,
- ISBN:9781108873710
- ISBN:9781108834766
- Call Number : Q 175 .32 .C65 .J45 2023
- Main Entry: Jensen, Henrik Jeldtoft, 1956-
- Title:Complexity science : the study of emergence [electronic resource] / Henrik Jeldtoft Jensen.
- Publisher:Cambridge, United Kingdom : Cambridge University Press, 2023.
- Physical Description:1 online resource
- Notes:Includes bibliographical references and index
- Subject:Complexity (Philosophy)
- Subject:Science -- Philosophy.
- Cover
- Half-title
- Title page
- Copyright information
- Dedication
- Contents
- Acknowledgements
- Nomenclature
- Preface
- I Conceptual Foundation of Complexity Science
- Introduction to Part I
- 1 The Science of Emergence
- 2 Conceptual Framework of Emergence
- 2.1 Emergence of a Characteristic Scale or Lack of Scale
- 2.2 Emergence of Collective Robust Degrees of Freedom
- 2.3 Structural Coherence
- 2.4 Evolutionary Diffusion
- 2.5 Breaking of Symmetry
- 2.6 Emergence of Networks
- 2.7 Temporal Mode
- 2.8 Adaptive and Evolutionary Dynamics
- 2.9 Further Reading
- 2.10 Exercises and Projects
- 3 Specific Types of Emergent Behaviour
- 4 The Value of Prototypical Models of Emergence
- II Mathematical Tools of Complexity Science
- Introduction to Part II
- 5 Branching Processes
- 6 Statistical Mechanics
- 6.1 Probabilities and Ensembles
- 6.2 The Ising Model
- 6.3 The Peculiar Nature of the Critical Point
- 6.4 Fluctuations, Response and Correlations
- 6.5 Examples of Correlation Functions: Brain, Flocks of Birds, Finance
- 6.6 Diverging Range of Correlations
- 6.7 The Two-Dimensional XY Model
- 6.8 Further Reading
- 6.9 Exercises and Projects
- 7 Synchronisation
- 8 Network Theory
- 9 Information Theory and Entropy
- 10 Stochastic Dynamics and Equations for the Probabilities
- 10.1 Random Walk and Diffusion
- 10.2 First Passage and First Return Times
- 10.3 Correlations in Time
- 10.4 Random Walk with Persistence or Anti-persistence: Hurst Exponent
- 10.5 Stationary Diffusion: Ornstein–Uhlenbeck Process
- 10.6 Evolutionary Dynamics and Clustering
- 10.7 Master Equation, Coarse Graining and Free Energy
- 10.8 Further Reading
- 10.9 Exercises and Projects
- 11 Agent-Based Modelling
- 12 Intermittency
- 13 Tipping Points, Transitions and Forecasting
- 14 Concluding Comments and a Look to the Future
- Glossary
- References
- Index