Critical phenomena in natural sciences : chaos, fractals, selforganization, and disorder : concepts and tools /
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| Format: | eBook |
| Language: | English |
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Berlin ; New York :
Springer,
2000.
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| Series: | Springer series in synergetics (Unnumbered)
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Useful notions of probability theory
- Sums of random variables, random walks, and the central limit theorem
- Large deviations
- Power law distributions
- Fractals and multifractals
- Rank-ordering statistics and heavy tails
- Statistical mechanics : probabilistic point of view and the concept of "temperature"
- Long-range correlations
- Phase transitions : critical phenomena and first-order transitions
- Transitions, bifurcations and precursors
- The renormalization group
- The percolation model
- Rupture models
- Mechanisms for power laws
- Self-organized criticality
- Introduction to the physics of random systems
- Randomness and long-range Laplacian interactions.