Fractals in probability and analysis /
ix, 402 pages : illustrations ; 24 cm. - (Cambridge studies in advanced mathematics ; 162.) Content notes : 1. Minkowski and Hausdorff dimensions;
2. Self-similarity and packing dimension;
3. Frostman's theory and capacity;
4. Self-affine sets;
5. Graphs of continuous functions;
6. Brownian motion, part I;
7. Brownian motion, part II;
8. Random walks, Markov chains and capacity;
9. Besicovitch-Kakeya sets;
10. The traveling salesman theorem;
Appendix A. Banach's fixed-point theorem;
Appendix B. Frostman's lemma for analytic sets;
Appendix C. Hints and solutions to selected exercises; References;
Index. Geometric analysis. Probability measures.
