vi Contents
§3.1. Examples 101
§3.2. Conditional expectation 108
§3.3. Definition of martingale 112
§3.4. Optional sampling theorem 113
§3.5. Martingale convergence theorem 119
§3.6. Uniform integrability 123
§3.7. Exercises 127
Chapter 4. Fractal Dimension 135
§4.1. Box dimension 135
§4.2. Cantor measure 138
§4.3. Hausdorff measure and dimension 142
§4.4. Exercises 152
Suggestions for Further Reading 155
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