Fractals
Mathematical Definition
Properties and Characteristics
Fractional Brownian Motion
Hurst Exponent
Site Percolation
Bond Percolation
Critical Thresholds
Infinite Clusters
Applications to Fractal Structures
Growth Algorithm
Resulting Fractal Structures
Variations and Extensions
Physical Applications
Simple Random Walks
Self-Avoiding Walks
Lévy Flights
Applications to Natural Phenomena
Probabilistic Grammar Rules
Plant Growth Modeling
Branching Processes
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6. Escape-Time Fractals
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8. Fractals in Nature